Monday 28 December 2020

The White Goddess, and Apollo's Golden Mean

 


Date: Sun, 25 Apr 1999 13:47:10 -0400 (EDT)
From: ......@westerncanon.com
Subject: Lecture Hall Message 18

Dated : April 25, 1999 at 13:47:09
Subject: Re: The White Goddess

>I am a junior at Malone College in Canton, OH and I am taking
>Modern British Writers. For our final project, the professor has
>asked us to analyze a poet and his works. My friend and I are going
>to do a type of interview situation, where he is Graves and I am
>the interviewer. We want to focus specifically on "The White Goddess"
>and "Succubus." If anybody has any information or comments on either
>of these poems, please share them with me. Also, share what types of
>questions you might ask Graves about these particular poems.

Nicole,

You have given yourselves a very tall order by focussing on two important poems by Graves, the first of which is of central importance to the second part of his life. I can however give you a number of pointers about "The White Goddess" which might help you to narrow down your target.

Another of Graves important poems, "To Juan at the Winter Solstice", begins with the lines:

There is one story and one story only/That will prove worth your telling

From the mid-forties onwards, much of Graves' prose and poetry was shaped by this belief. Interestingly there is a passage in "The Shout", a short story written in 1924, which prefigures this approach:

"My story is true", he said, "every word of it. Or, when I say that my story is 'true'", I mean at least that I am telling it in a new way. It is always the same story, but I sometimes vary the climax and even recast the characters. Variation keeps it fresh and therefore true".

Graves' stated opinions about the White Goddess, which resulted in the poem and the book of the same name, should be looked at the same way. Both Graves' prose and poetry attempt to retell his understanding of a truth by recasting detail and character. The specific reference is (according to Graves) always the same, but the incidentals change and the details blur and intertwine. The poem "The Clipped Stater" for example, can be read in terms of its references to Alexander, which are explicit, or to the phenomenon of the Incarnation of Christ, or even to the transformation of T. E. Lawrence into "Aircraftsman Shaw". In fact it should be read in terms of (at least) all three: if there is "one story and one story only", the real focus of Graves' interest is beyond the incidental details of the poem, and the blurring and braiding of detail allows us to look at the real subject, as it were, slantwise.

The first two lines of "The White Goddess" [the version in "Selected Poems", ed. Paul O'Prey, 1986] express Graves' view that his subject is one uncomfortable to the reasoning mind: and thus a subject which the dominant forces in European civilization over at least the past two and a half thousand years have tried to reject ("All Saints revile her"). Very quickly however (line 3) the poem is about a voyage in search of the Goddess: this is particularly interesting as Graves' views on ancient matriarchy surfaced first in "The Golden Fleece" [pub 1944] (US: "Hercules, My Shipmate" [pub 1945]), and Graves' was working on his translation of the story of the voyage of the Argo immediately before writing his monumental study: "The White Goddess" (to which a version of the poem is prefaced "in dedication"). The sailors sail to find her "in scorn" of those "ruled by the God Apollo's golden mean". This might be read as a re-interpretation of the real mission of the Argo, or a metaphor of Graves' own studies, or more broadly as a characterization of any attempt to escape from (as Graves believed) the rigid, plodding patterns of Cartesian thought sanctioned as "valid" by our civilization (the version prefaced to "The White Goddess" speaks in the first person).

The second stanza continues the speaker's identification with the crew of the ship:

It was a virtue not to stay/To go our headstrong and heroic way

The following three lines describe the extremes to which they are prepared to go to find the elusive Goddess. Paradoxically she is then given a precise physical description, clear enough to pick her out of a crowd. That it might not be wholly healthy to actually encounter her is suggested by the striking description of her brow as: "white as any leper's".

In the third stanza it is clear that there have been (and will be) good times for the Goddess, when all recognise her and the universality of her significance:

The green sap of spring in the young wood astir/Will celebrate the Mountain Mother

However the crew of the ship are gifted to recognise, "even in November", her "nakedly worn magnificence". Thus the ability to discern the Goddess in her elusiveness is given more importance by Graves than her mere celebration. Here Graves alludes to the different qualities required of devotees of the Goddess in secular (i.e., modern) times, to those qualities required in times when her reality is taken for granted.

The penultimate line reveals that the sailors have undertaken the voyage, not in ignorance, but in full knowledge of the dangers: since they have experienced "cruelty and past betrayal". They have met her before, in one form or another. They are also, like those in love:

Heedless of where the next bright bolt may fall.

"Bolts" are of course more commonly associated in Greek Mythology with Zeus, king of the gods. But Graves regarded Zeus as a usurper, and believed that real power belonged to the Goddess (See for example "The Greek Myths" 9.7: Zeus and Metis, where Graves quotes Jane Harrison who described the story of Athene's birth from Zeus's head as 'a desperate theological expedient to rid her of her matriarchal conditions').

Graves more and more came to regard the White Goddess as the real source of inspiration for poets, so that he began to view poetry written for any other reason as fakery. In his study "The White Goddess" he describes her in similar terms to those used in the poem:

...a lovely, slender woman with a hooked nose, deathly pale face, lips red as rowan-berries, startlingly blue eyes and long fair hair; she will suddenly transform herself into sow, mare, bitch, vixen, she-ass, weasel, serpent, owl, she-wolf, tigress, mermaid or loathsome hag. Her names and titles are innumerable. ... I cannot think of any true poet from Homer onwards who has not independently recorded his experience of her. The test of a poet's vision, one might say, is the accuracy of his portrayal of the White Goddess... The reason why the hairs stand on end, the eyes water, the throat is constricted, the skin crawls and a shiver runs down the spine when one writes or reads a true poem is that a true poem is necessarily an invocation of the White Goddess, or Muse, the Mother of All Living... [TWG: Ch. One, "Poets and Gleemen"]

Hence it is that Graves' concept of the White Goddess is entwined with the craft of poetry: poetry is an invocation of the Goddess, and to write "true poetry" the poet has to love someone in whom the Goddess temporarily manifests. Graves' book on the White Goddess has to be read therefore as a braid, made up of a historical reconstruction of poetic grammar, as well as his personal experience of the Goddess in his association with Laura Riding, and possibly also his mother, Amalie von Ranke Graves.

The Graves Interview:

You are going to have to do a lot of research to do this properly! You can find most of what you need in three books: Robert Graves "The White Goddess" for Graves own account of his ideas; Richard Perceval Graves: "Robert Graves and the White Goddess 1940-1985" [pub 1995]; and "Robert Graves: The Years with Laura Riding 1926-1940" [pub 1990]: these last two volumes give the relevant details about Graves' collaboration with Laura Riding, and his later muse poetry. Other information about Graves' picture of ancient matriarchy can be found in his novel "King Jesus" [pub 1946] and "Seven Days in New Crete" [pub 1949] (US "Watch the North Wind Rise"). Some useful critical remarks about the thesis of "The White Goddess" can be found in Martin Seymour-Smith's "Robert Graves: His Life and Work" [1982; expanded edition pub 1995]

It might be worth asking "Graves" to expand on the method of thinking he associates with the Goddess, which he opposes to "the God Apollo's golden mean": Graves says quite a bit about this (that poetic thought is not really viable in a scientific and rational civilization) in various parts of "The White Goddess". He also wrote an interesting preface in 1976 to John Biram's book "Teknosis", in which he seriously criticises modern industrial civilization (may be hard to find this book). And/or you might ask "Graves" to describe the background to the writing of the poem "The White Goddess", showing the different elements in both his writing and his personal life which he weaves together to make a successful artistic whole. You might also ask "Graves" to compare and contrast some related poetry (such as"Juan at the Winter Solstice"; "The White Goddess" and "The Succubus").

 

Wednesday 23 December 2020

The Wider Scope of Ancient Mathematics (letter to an American Scholar)

 


Avebury Circle, photographed in 2001

Dear....., 


Hi. I became aware of your short book [.......................]  relatively recently. I wish I’d known it earlier.

I have a strong interest in the idea and function of the concept of limit in antiquity. My main object of study at UCL was ancient  Assyria (mostly the text corpus). Like the Greeks, they had a strong interest in the idea of limit, which is illustrated on the walls of their buildings, and is also represented in their images of the sacred tree. Limit also serves an important function in setting up their gods in heaven (I’ve written about both Assyrian and Babylonian rituals for this).

This tells us something of the actual basis of Mesopotamian religion, which has an origin which is quite different from what we imagine. 

Essentially ancient religions are transcendentalist in nature. In other words, they have their origins in a focus on abstract conceptions (limit, infinity, infinite series,completion, totality, etc). Which makes a nonsense of the idea that the Greeks were the first to grapple with sophisticated abstract thought. Clement of Alexandria created a list of civilizations which practised philosophy, and added the Greeks as the* last* to adopt the practice of philosophy.

Since you might be interested in the wider scope of ancient mathematics, I am writing to you to point you at a couple of articles which illustrate that these concerns were a feature of building projects in Neolithic Britain also. The Horus numbers are there, as the basis of establishing Euler’s number via a geometric construction. Euler’s number being the final result of a convergent infinite series.

Did they get their mathematics from Egypt, or did they develop them themselves? I have no idea. Why Euler’s number? It’s a mathematical stand-in for the extreme limit, which is infinity.


‘At Reality’s Edge’

https://shrineinthesea.blogspot.com/2020/12/at-realitys-edge.html?spref=tw%20%20# (Short article)

‘The Mathematical Origins of the Megalithic Yard’

http://shrineinthesea.blogspot.com/2020/02/the-mathematical-origins-of-megalithic.html (Long  article)

Best regards,

 

Thomas Yaeger

At Reality's Edge

 

[Some notes I made while I was writing up The Mathematical Origins of the Megalithic Yard in early 2020. The notes conclude with some observations of the importance of the idea of limit in Mesopotamia, and its connection with the Assyrian Sacred Tree, and their notion of kingship.  I could have finished up with a short discussion of Egyptian interest in the idea of limit, particularly since we know (from the Rhind Papyrus) that they used the same method of calculation of Euler's number as in ancient Britain. That discussion with follow later.]


***


It has been twenty two days since I started to write up the article ‘The Mathematical Origins of the Megalithic Yard’ (mid February 2020). In this article, I suggested that those who designed the. circles came to the idea of the megalithic yard of 2.72 feet as the consequence of an interest in infinite series, and particularly those which approach a limit. The most important of these limits is the one which is known as Euler’s number, which, when rounded up from 2.7218… is 2.72.

This limit was first noticed in relatively modern times in the context of the calculation of compound interest, but the number, and the process by which it is arrived at, can be found in many other contexts.

Effectively, the number (when worked out to thousands of places), is the number as it would be found at infinity. So it can stand as an indicator of ultimate limit and of infinity. It is associated with the idea of ‘one’, as I’ve discussed in the article, and also as an irrational equivalent of one, which is a rational whole number.

An irrational counterpart to ‘one’, in a proto-pythagorean community, would have been easy to understand as belonging to a world beyond this one – i.e., a transcendent reality which is more perfect than this world, which is full of irrationality and measures which are incommensurable. The number may have been understood as being irrational to us because it is being represented in our finite world, and not irrational.

It also stood for the edge of our reality, and therefore would have signified the possibility of a joining between the transcendent reality, and our world of physical reality. Finding ways in which the worlds could be joined, and the incommensurate made commensurate, seems to have been a major preoccupation in the Neolithic, as it was also to philosophers and mathematicians in Greece during the second half of the first millennium BCE.

After I finished the article, I wondered how difficult it is to construct a series which will arrive at Euler’s number, how it might have been done, and how long it would take to come to the result.

A little research showed that there were many ways to construct suitable series of numbers, and a geometric calculation could produce a reasonable approximation reasonably quickly, without enormous calculations.  

 We don’t know for certain what base was used for calculations in the British Neolithic, but they were certainly aware of base 10, since they used powers of ten in their construction (ie, instead of a 3,4,5 triangle, they would sometimes use 30,40, 50 as their measures, knowing that the sides would be similarly commensurate after squaring). If they were using the English foot as their basic measure, it is likely they were counting to base 12 (ie, in duodecimal). But the construction of a series only requires whole numbers, arranged as fractions.

1 + 1/100000)^100000 = 2.7182682371923

100,000 is a lot of iterations, so it is unlikely that the determination was done in this way. The process will result in Euler’s number with any consistently generated series.

It can be done geometrically, which is much more practical, and is probably the technique which was used in the Neolithic. Using a sequence such as:

1/2  +  1/4  +  1//8  +  1/16  + ... = 1



Those who generated such a geometrical figure did so knowing that the series converged on a limit from observing the initial results. What they wanted was to find out a reasonably accurate value for the limit itself. The square could therefore be of any size (read as the value ‘one’), and might well have been created in a large field, with the fractions indicated by small stones.

I’ve written elsewhere about the importance given to limits and boundaries in ancient Assyria and Babylonia, particularly in connection with sites connected with the gods, and the rituals for the installation of the gods in Heaven. Sometimes aspects of the design of the Assyrian Sacred Tree were unwrapped, and represented on pavings as lotuses, alternately open and closed. Which is a way of indicating at these edge points that both possibilities are open, and even perhaps that opposing states are commensurate with each other in infinity.

It has already been identified that the Sacred Tree represents a form of limit, and consequently of the nature of divinity which has its true existence in a world beyond the constraints of finitude.  The design of the alternating lotuses also was used to separate the registers of images adjoining the collosal Lamassu statues which guarded the entrances of royal palaces. There was an image of the sacred tree, with two winged genies behind Assurbanipal’s throne, which seems to indicate that the king was understood to embody the transcendent reality which lies behind the world of the here and now.[the identification of the king with the divine reality appears in various royal letters] He is the perfect man, and the very image of God

[March 8, 2020]

 

[ Minor text corrections, Jan 1, 2021]

Wednesday 9 December 2020

Revolt in Athens in the late Seventh Century BCE (A letter to SemprePhi)

At 19:12 29/11/2020, Thomas Yaeger wrote:

[.......]

Hi. I didn't mean to do any work on the DoP [Death of Pan] today, but it was a quiet Sunday, and I decided in the morning to explore expanding the content headings into sections. This is a much more abstract discussion than in the earlier books, but that is how imagined it would be. So I need a lot of references to existing articles and chapters, enabling readers to have access to real detail. The article 'An Appetite for Knowledge' will be the basis of this, but much expanded.

So far I've argued that a great deal of intellectual and philosophical input to Greek civilization comes from Mesopotamia and Egypt, which is the case. But I've been arguing in terms of a sixth century BCE input, via Pythagoras, just to open the door to an acceptance of the possibility of an east-west transmission. Plato's determination to get hold of the three volumes concerning Pythagorean doctrine offered for sale by Philolaus, tells us that he understood that they contained information useful for the understanding of cult doctrine in Greece.Something had been lost along the way.

Martin Bernal argued, on the basis of comparisons of Egyptian and Greek words, that the Greek vocabulary was heavily indebted to Egyptian, and that the borrowings probably dated back to the mid-2nd millennium, when there were major population movements from Egypt and North Africa. Some of those ended up in the Peloponnese and in Anatolia. I think that he is right about that line of transmission.

But there is a third route of transmission. After the second millennium, but before Pythagoras. I mentioned it in a chapter which didn't make it into SHB for one reason and another, but which has since been published. There is an obscure quote preserved in Eusebius, which says that the Assyrian king Sennacherib captured Athens. This would have been around 701-700 BCE. Any classicist reading that will find it deeply shocking. Generally I try not to mention it.

[……………] This story is [likely to be] true because it explains a peculiarity in Sennacherib's campaign records - half of them are missing from the archives in Assyria. The quotation goes on to mention that Sennacherib built a temple in Athens, which he filled with brazen statues, and that his exploits were recorded in cuneiform on the statues. Now we know why they were missing.

It takes a while to build a temple, and to fill it with brazen statues, so Sennacherib and his troops were there for a while.

I sent the completed chapter to Simo Parpola, and asked if he had anything else to add to the pot. He replied *the same day* with an article he'd contributed to a volume of conference proceedings in 2004, in which he was able to trace the westward expansion of the Assyrians across Anatolia, from their records, all the way to Ionia, which of course was part of greater Greece at this time. They were always aiming for Greece. He didn't know they made the mainland. But they did.

How long were the Assyrians in Athens, and in Attica? I guessed five years or so. But I started to look for some kind of end point to  the Assyrian occupation. I could find nothing.  Parpola had pointed out in his article that a number of features of Greek political and social organisation looked like borrowings from Assyrian organisation, such as naming eponyms for each year, and the institution of Archons. So I looked further, and found an interesting account of a tyrants revolt in 632 BCE (revolt of Cilon). The Greeks recorded tyrants often with very little detail. They were tyrants if they opposed the established authorities. The detail we have is that conspirators were hunted down by the Archons and killed (their grave site has been excavated, and it isn't pretty - the skeletons are in manacles and their mouths have been stopped up with stones).

The date is significant. The last important king of Assyria was Ashurbanipal, who disappears entirely from the record in 632-1 BCE (the empire staggered on till about 609). Possibly as the result of a palace revolt. We don't know. But this would be the right time to rise up  against a hated occupying force.

If the revolt and the collapse of the Assyrian empire are connected, this would mean that the Assyrians were in Athens  for  nearly *seventy  years.*

[..........................................................] 

I'll deal with the Assyrian occupation in a couple of papers further down the line.
 
Best, Thomas



Tuesday 8 December 2020

Mathematics and Calculation in Antiquity (letter to a Cambridge Scholar)





Date: Sun, 06 Dec 2020 12:56:04 +0000
To: .............cam.ac.uk
From: thomas yaeger 
Subject: Mathematics and Calculation in Antiquity


Dear........,
 

I’m supplying here the address of an article which may be of interest to you, since a) you are interested in early examples of sophisticated human cognition, and also b) in examples of ideas, languages and cultures being transmitted west to east in deep antiquity. This article addresses both of these areas.

The article took seven years before it assumed its current form. It started off as a relatively minor component in a project on the presence of abstract ideas in the ANE and the Levant before the Greeks, which resulted in my book, ‘The Sacred History of Being’ (2015).

What the article argues is that the mathematics which can be found in the vast majority of megalithic rings in Britain, France and elsewhere, show that builders had a grasp of infinite series and Euler’s number from very early on (late 4th mill. BCE onwards, up until around 1400 BCE, which is when they seem to have stopped constructing them).

The pattern of their distribution around Europe and the Mediterranean suggests the original builders travelled westwards, and then north to Britain.

One of the reasons why no-one has considered the presence of Euler’s number in these structures (2.72, supposedly first discovered by Bernoulli), is of course, why would they know this number? It is also assumed that the number would have been too hard to calculate in such ancient times, even if they did have a loose grasp of infinite series.

This is not actually the case – it can be established geometrically with a relatively small number of iterations (less than a dozen). Interestingly the procedure for doing this can be found in the Rhind Papyrus, which dates from around the 17th century BCE, but was originally compiled earlier. In a publication issued by the British Museum in the late eighties, Gay Robins and her husband identified that the Egyptians were working with an understanding of infinite series. And showed the Egyptian diagram, illustrating how it was done.

The geometric process for establishing Euler’s number can be done on the ground, using small stones. I explored the Avebury complex pretty thoroughly in 2001 and 2002, and noticed  brickish sized stones collected together, on the edge of one of the circles, almost lost in the grass. I had no idea why they might be there at the time, but they may have been what they used in the geometric construction . Effectively, the small stones are telling us what the whole structure is for.



 




The article is at:

http://shrineinthesea.blogspot.com/2020/02/the-mathematical-origins-of-megalithic.html

The short book on the Rhind Papyrus is at:

https://www.amazon.co.uk/Rhind-Mathematical-Papyrus-Ancient-Egyptian/dp/0714109444

My book is available from CUL (and elsewhere) in eBook format. 

[text correction, December23, 2020]  

 

Best regards, Thomas Yaeger.

December 6, 2020.

Tuesday 24 November 2020

The Prisoners in the Cave

 @SemprePhi drew my attention to the following book review on the 23rd November:

Phillip Sidney Horky, Plato and Pythagoreanism 2013. Reviewed by Simon Trépanier bmcr.brynmawr.edu/2014/2014-05-1… #brynmawr #philosophy

I responded in four short posts, which I’ve now augmented with further discussion.

@SemprePhi Hi. Thanks for the pointer to Horky's book and the review. Where to start! You cannot rely on Aristotle for accurate information about the Pythagoreans. Huffman has been occupying academic space for thirty years, and won't cross the boundaries. 1/

Note the whole argument is based on the idea that philosophy in Greece is an autocthonous development. Not invented elsewhere. I've shown that Pythagoras derived many of his ideas from Mesopotamia. And that these influences are reflected in Plato. They just don't want to see. 2/

Or they fear to step outside the accepted paradigm for fear of committing heresy, and having to pay for their sin. There is much information about what Pythagoras brought back from the east in Greek writing. But scholars don't know what it is, and why [it] is important. 3/

In order to stay within the acceptable paradigm, or 'episteme', they don't read the full range of sources which are available. Consequently it is difficult to make sense of the sources that they do read. If you read the full range of sources, it is an eye-opener. 4/

Philosophers and Historians are nervous about crossing the boundaries of their subjects, not just because of the risk to their reputations. They are happiest when sense can be made of what they are looking at. That sense isn’t always the sense that things made in antiquity. Modern scholars make fictions, and sit upon the pile they have made.

The philosopher Adrian Moore wrote a history of the infinite in 1990, and presented a series on BBC radio in 2016 on the same subject. Both discuss the problems and issues around the human response to the idea of the infinite. However Moore’s idea of the history of man’s relationship is strangely structured. Writing about the broadcast series I pointed out that:

We  get many clues about the Greek understanding of the infinite and the unlimited from a number of Plato’s dialogues, including The TimaeusThe SophistThe RepublicThe TheaetetusThe Laws, and The Parmenides. In skipping Plato, the first reference to Parmenides and his notion of the universe as simply one and one alone, is as an introduction in the first episode to his pupil Zeno of Elea, and his response to paradox. There is no discussion of Plato’s demolition of Parmenides arguments, no discussion of the Platonic forms, no discussion of the relationship of the forms to the form of the Good, which is another way of talking about what is infinite, and no discussion of what amounts to a different logical modality in the pages of Plato (where he discusses things passing into one another by means of their similitude), which is a way of understanding the relationship of finite things to the infinite.  

What Moore has constructed is a Catholic perspective on the idea of the infinite, since it is viewed from the perspective of Thomas Aquinas and Bishop Anselm. What made sense to those scholars, makes sense to Moore. Plato was largely unavailable to any scholars  of that period (with the exception of some sections of the Timaeus). But to write now about the infinite as if the writings of Plato are unknown to us, or of no importance to our understanding of the human response to the infinite, is difficult to fathom. I summarised part of this first episode of the series as follows:

Essentially Aristotle’s rapprochement, which Moore characterises as an attempt to make the concept of the infinite more palatable to the Greeks, involved dividing the idea of the infinite into two. As already mentioned, one of these was the potential infinite, and the second was the actual infinite. As outlined in the first episode, Zeno’s paradoxes depended on the idea of an infinite divisibility, which seemed to make the idea of any kind of movement impossible, since that would require a universe of infinite complexity. Zeno therefore regarded all forms of movement as illusion. Since in order to travel a certain distance, you would have to travel half the distance to your destination, and then half of the distance remaining, and then half of that, and half of what still remained, and so on. Which would result in an infinite number of steps. Which would be impossible. 

Aristotle’s response was that though the various stages of the journey could be understood in such a way, the stages were not marked, and did not have to be considered in making a journey. The idea of limit is however a crucial point. What Aristotle was saying is that there are two ways of looking at the idea of what a limit is.  Essentially there is limitation which is defined by what a thing is, and there is limitation which is not. In the first case the limit of a thing cannot be transcended without the nature of that thing turning into something else.

The essence of this argument is that there are forms of limit which can be ignored. One of which is the actual infinite: instead we should deal with the potential infinite. The actual infinite, by its nature, is always there. But we cannot deal with it. The potential infinite we can work with, since it is not always there, and spread infinitely through reality. So we can count numbers without ever arriving at infinity, or ever being in danger of arriving there. Moore mentioned that this conception of infinity more or less became an orthodoxy after Aristotle, though not everyone accepted that his argument against actual infinity was solid. Which is something of an understatement. Aristotle’s distinction between the potential infinite and the actual infinite is between what is, in practical terms, something we can treat as finite, and what is actually infinite. 

 

Moore has defined himself as an Aristotelian finitist, meaning that, since (he argues), man cannot deal with the actual infinite, only the potential infinite can make any sense to us. And so, much ancient discussion is swept away, as of very little interest or importance. This is why we cannot easily understand much of the intellectual world of antiquity. Instead we choose to write unflattering fictions about it.

I said that we cannot rely on Aristotle for accurate information on the Pythagoreans. This is not because I regard him as a poor scholar. Both Plato and Aristotle taught in the Academy in Athens. They were both dealing with a body of traditional doctrine (there are many passages where a comparison shows this – their discussion of the importance of the liver, for example). But they had quite different ways of discussing doctrine. Plato gives the reader real information about the subject, but hedges it about with other arguments, and sometimes talks in terms of images and myth (the account of the prisoners in the cave, in the Republic, for example). So his work makes sense to those who already know the doctrine, and intrigues those who don’t. Aristotle on the other hand, seems to have had the job of sifting through students to find those who might have the intelligence to  be able to grasp the essence of the doctrine (when properly instructed). He did this sometimes by constructing complex sophistical arguments which actually contradicted doctrine, and sometimes even rational sense.

Two examples: The first is Aristotle’s Nicomachean Ethics, originally a series of lectures, ends up concluding the gods cannot act in the world, but only contemplate. Imagine the response to that argument in the ancient world! Why did Aristotle argue like this? He was looking for students who could provide critical rational responses to the argument, and who could  see that it did not make any sense in a reality which was (at the time) populated by divinities expected to play a constructive role in the world. The second example is Aristotle’s comments on logical modality (mostly in the Metaphysics), which I’ve discussed elsewhere (in ‘Logical Modality in Classical Athens’). This also contradicts traditional doctrine which underpinned the human relationship with the divine. And not just in Greece. Plato discusses the logical modality which enables contact and engagement with the divine, and other authors do too. We ignore all of this information concerning doctrine, because we prefer the unfathomable shadows on the wall.

However, despite the occasional tricksiness of Aristotle, he tells us something important, which, if we are familiar with relevant texts by other authors, we can figure out. I quote again from my critical review of Adrian Moore’s broadcast History of the Infinite, concerning the arguments of Zeno:.

The idea of limit is however a crucial point. What Aristotle was saying is that there are two ways of looking at the idea of what a limit is.  Essentially there is limitation which is defined by what a thing is, and there is limitation which is not. In the first case the limit of a thing cannot be transcended without the nature of that thing turning into something else.

Aristotle’s discussion references the doctrinal view which is also discussed by Plato. Which is that there is an important connection between the idea of limit and the infinite. The infinite is just another way of specifying what is unlimited, and beyond the physical world. Paradoxically, it is the actual limit of what is, and what can be. This does not represent a retreat from commerce with the actual infinite, but actually tells us how that commerce was supposed to work.

However the physical and finite world is also full of limits. These sometimes function as boundaries, and serve to close off access. Some limits you can choose to pass beyond, and there are others which you cannot pass. And in some cases, because of the nature of the limit, it is the nature of the limit itself which allows commerce with the ultimate limit of everything, which is where the Gods were once understood to have their existence.

This is the most important thing to understand about antiquity, both east and west. For Moore, the actual infinite is simply something which defies our understanding. In antiquity, the actual infinite was something of vital importance, and which we could have commerce with through its earthlly analogues (totalities, completions, limits. etc). Aristotle, in talking about Zeno’s paradox, is referencing the key doctrinal point, which is that reality has a double nature. And that we have (if we are properly informed), a choice about how we respond to that double nature.

In modern times, we no longer have this choice, since the doctrine concerning actual infinity has been mostly lost, and in fact entirely lost to those who function in the modern successors of Plato’s Academy. We are stuck in a world that imagines it must deal with everything in terms of calculable finitudes. Effectively we are, to quote the Mesopotamian king Esarhaddon, “blind and deaf ” for the whole of our lives.

It was not always so.






Monday 23 November 2020

'The Shout' and Other Stories

 


>Date: Sun, 20 Jun 1999 17:21:14 -0400 (EDT)
>From: mobydick@westerncanon.com
>Subject: Lecture Hall Message 22

>From: marie …….:

>Dated : June 20, 1999 at 17:21:12
>Subject: the Shout and Other Stories

>I am in fourth year at university in France and I am preparing
>a study on Robert Graves and the importance of fantasy,
>unreality in reality, and the flavour of 'supernatural' in his
>English short stories. It would be great to have some comments
>about that and about any link it could have with his poetry.

This is a particulary interesting question. Graves' short stories are quite different from most of his novels, in that the stories reflect aspects of his personal experience in a significantly modified form. The novels by contrast are reworkings of existing narratives, usually with some interpretative spin (Graves spoke of I, Claudius as an interpretative biography). His most famous short story is 'The Shout', written not sooner than his period of professorship in Egypt (and not, as stated by Graves himself in his 1965 preface to the Collected Short Stories, dating from 1924). Exactly why Graves wrote 'The Shout' is unclear: the couple in the story is loosely based on himself and his wife Nancy, but no known incident in his life up until its writing seems to fit. There is a later incident however, which does seem to reflect aspects of the story: the breaking up of Schuyler Jackson's marriage by Laura Riding.

In the Introduction to the Collected Short Stories Graves acknowledges that: "Pure fiction is beyond my imaginative range: I fetched back the main elements of The Shout from a cricket-match at Littlemore Asylum, Oxford." However elsewhere he says that the idea of the story occurred to him "one day while I was walking in the desert near Heliopolis in Egypt and came upon a stony stretch where I stopped to pick up a few mis-shapen pebbles; what virtue was in them I do not know, but I somehow had the story from them." [see Richard Perceval Graves, The Years with Laura Riding 1926-1940, Ch. 7: 'Seeing Ghosts'; and note 73 to the Chap.]. Given the way Graves worked his material, both accounts are likely to be correct, and 'The Shout' is a composite of these elements forged together in part by his unconscious (during the twenties Graves was heavily influenced by Freudian ideas, and wrote a book on the meaning of dreams). The story also reflects an interest in whether or not the soul is bound to the body during every moment of life - perhaps prompted by a wish to explain the phenomena of the shared dream, premonitions, and also ghosts.

My own guess is that the man with the 'terror shout', Charles, actually represents Laura Riding, who was in Egypt with Robert and Nancy. The story would therefore reflect the destructive impact of Riding on the relationship between Robert and Nancy. Except that, in the story, 'Charles' is exorcised by the breaking of the stone which holds his soul. In real life the outcome was quite different.

The same technique (incubation of an idea in the unconscious) seems to underlie much of Graves poetry. 'The Clipped Stater,' which is notionally about Alexander the Great, utilises elements from a number of sources, including events in the life of T.E. Lawrence. This braiding together of ideas could of course, in theory, be done consciously, but Graves felt that poets who wrote in this way, under the tutelage of the god Apollo, were frauds.

In Fairies and Fusiliers (1917), Graves included a poem (available on the web) which is an example of the fantastic intruding into reality: 'Corporal Stare'. It appears to recount an incident which happened during his time in the trenches: a man who had been killed appeared to Graves and his companions while they were having a meal:

Then through the window suddenly,
Badge, stripes and medals all complete,
We saw him swagger up the street,
Just like a live man - Corporal Stare!
Stare! Killed last May at Festubert.
Caught on patrol near the Boche wire,
Torn horribly by machine-gun fire!
He paused, saluted smartly, grinned,
Then passed away like a puff of wind

In the later Goodbye to All That Graves recounts an incident which seems to be the basis of the poem:

At Béthune, I saw the ghost of a man named Private Challoner... When he went out [to France] with a draft to join the First Battalion, he shook my hand and said "I'll meet you again in France, sir". In June he passed by our 'C' Company billet, where we were just having a special dinner to celebrate our safe return from Cuinchy... Private Challoner looked in at the window, saluted, and passed on. I could not mistake him, or the cap-badge he wore; yet no Royal Welch battalion was billeted within miles of Béthune at the time. I jumped up, looked out of the window, and saw nothing except a fag-end smoking on the pavement. Challoner had been killed at Festubert in May.
[Chapter 14 of the 1957 edition]

In the same passage Graves gives details of the civilised menu of the dinner: in the circumstances, an equally fantastic intrusion into the unreal reality of the war in France.

Not much has been changed here - perhaps because the incident has power and meaning in itself, in its strangeness, without the necessity of a literary metamorphosis to make the hair on the back of the neck stand. Graves has however altered the rank and name of the soldier, collapsing together the ghost and his reaction to the apparition.

Graves is unusual as a poet in supplying a good deal of useful detail about his working methods: to some extent his writings on poetry illuminate aspects of his prose technique also. I would recommend that you consult: the Collected Writings on Poetry, edited by Paul O'Prey, 1995; The White Goddess, (1961 edition); The Meaning of Dreams, 1924; and also Poetic Unreason and other Studies, 1925. Richard Percival Graves three volume biography is probably the best available for the study you propose, followed by Martin Seymour-Smith's Robert Graves: His Life and Work, 1982; expanded edition, 1995].

Sunday 22 November 2020

Seven Days in New Crete



Date: Sun, 10 Oct 1999 23:00:15 +0000
Subject: Re: "Seven days in New Crete"

>I am an Italian university student. I am specializing in English
>literature at the University of Pescara, Italy and, for my thesis, I am
>preparing a study on Robert Graves' fiction... I have found this archive and I have
>thought to call for help. In a chapter of my thesis I have to tell about a Graves'
>novel, called "Seven days in New Crete", but in my country I was not able to
>find any news about it. It would be great to have some critical comments
>on this novel and any link it could have with another novel, called
>"1984" by George Orwell about the utopian thematic. I would be very happy
>if somebody paid attention to my help request. Thanks a lot, Alessandra.

Alessandra,

'Seven days in New Crete' is one of several works in which Graves explored his thesis that the original theological and social structures of the human race were matriarchal. In other words,that the principal divinity - in fact the only original divinity - was once 'The Goddess', and that, formerly, social organization had feminine characteristics, as contrasted with the 'masculine' social structures of the modern world.

The principal discussion of this thesis can be found in 'The White Goddess', first published in 1948. The idea first surfaced in 'The Golden Fleece'. It quickly dominated Graves thoughts, and 'The Golden Fleece' was put aside while Graves wrote the first draft of 'The White Goddess' (originally titled 'The Roebuck in the Thicket'). The matriarchial idea also plays a significant role in the novel 'King Jesus'. Graves translated Apuleius' 'Golden Ass' in the same decade, and Apuleius' work seems to have confirmed Graves in the belief that he was on the right track. The 'Goddess' is a key figure in Apuleius's novel, though in his work it is a specific goddess who is referred to (Isis), rather than 'The Goddess' of Graves' thesis.

The novel fits broadly into the category of science fiction, and explores a utopian future. Graves began planning a utopian novel in the summer of 1940 [see: Richard Perceval Graves' 'Robert Graves and the White Goddess': 'Work in Hand', p18] whose ideas of social and political organisation were founded chiefly upon former ideas of Laura Riding which he hoped would eventually inspire a 'practical organization of decent people'. He told his son David of his idea for the novel: David was however not impressed, and said that 'any practical organization of decent people would be suppressed at once by the government' and that he thought it 'time this Western industrial civilization was ended'. Possbily because of this criticism, the novel was laid aside for nearly seven years.

New Crete is divided into kingdoms, but powers of the kings are 'entrusted to them by their queens'. The governing principle is a custom based 'not on a code of laws, but for the most part on the inspired utterances of poets' who receive the guidance of the Muse (the Goddess). The system is run by women who 'act directly on behalf of the Goddess'. Thus women are 'naturally' treated by men as the superior sex. RPG comments that:

'This is a society living in harmony with the natural world; and each individual is allocated to one of the 'five estates' not by birth but by capacity. Money has been abolished; different villages have different social customs, so that one may live in a monogamous, polygamous, or even polyandrous society and yet be perfectly virtuous; there are even 'bagnios', brothels which it is no disgrace to visit, and 'where one goes when one isn't in love with anyone in particular but feels unhappily lecherous'; while war has become ritulalized into a kind of moderately violent rugger, so that the only deaths, apart from those by natural causes, occur as part of the ritual of goddess-worship.' [Richard Perceval Graves' 'Robert Graves and the White Goddess' p143-4].

'Seven Days in New Crete' is not in fact a serious utopia: its inhabitants are unhappy with its complacency and indifference: the New Cretans do not possess 'the quality that we prize as character: the look of indomitability which comes from dire experiences nobly faced and overcome'. Therefore the rulers have deliberately introduced 'a seed of trouble... since true love and wisdom spring only from calamity'. Graves novel is therefore anti-utopian.

On the face of it, there isn't much to connect Orwell's '1984' and Graves' utopian novel. They were both composed in the late 1940's, and both result from an anxiety about evident tendencies in the modern world. Orwell's literary sources included Wells, London, Huxley and Zamyatin (principally Zamyatin): I do not know whether or not Orwell read Graves' book. However both works are responses to the political and social dislocations of the early twentieth century. Both men wished for the creation of a new social order, but were rather pessimistic about the practicalities of this. Graves was particularly influenced by Laura Riding's ideas on politics and society during their time together, though afterwards he reacted against them: it is therefore interesting to speculate on the nature of 'Seven Days in New Crete' had Graves written it while still under the spell of Riding. It might have been whole-heartedly utopian in outlook.

Are there significant parallels between the novels? In both novels society is split up into different areas and levels, which have different rules of behaviour, as if they were autonomous societies: in Orwell's novel these are the 'zones of influence'; and in Graves' future society different areas of New Crete have different customs and mores. War has been ritualised in both societies: in '1984' it serves to underpin inequality and to soak up overproduction. Also, in both Orwell's and Graves' novels there is a social hierarchy: in '1984' membership of the oligarchy (the party) is presented as essentially non-hereditary - this is because the oligarchy's purpose is to preserve itself, rather than the families of its members; in 'Seven Days in New Crete' status is acquired on the basis of 'capacity'. Both societies continue because the ruling elite has the power to nominate its successors. Thus in both cases the society is totalitarian, in that all the reins of power are in the hands of a small oligarchic group, whatever the outward appearances of difference and diversity.

Both these novels owe a great deal to the circumstances of their creation, and looking at the context of their creation is probably the best way to make useful comparisons.

Friday 20 November 2020

The Nazarene Gospel Restored




A response to an email inquiry about Robert Graves book 'The Nazarene Gospel Restored'. It dates from November 1999, and has been missing from the web for several years. The book has been reissued by Carcanet (2010), and edited by John Presley, though it is not currently available from them. However the reissue means that it is a little easier to find than it was. Its page is at: https://www.carcanet.co.uk/cgi-bin/indexer?product=9781857546675. There is a review of this edition by Peter Costello from 2011, at: https://www.carcanet.co.uk/cgi-bin/scribe?showdoc=1184;doctype=review



Thomas Yaeger, November 20, 2020.





Subject: The Nazarene Gospel Restored

Date: Wed, 10 Nov 1999 22:01:29 +0100
MIME-Version: 1.0
X-Priority: 3
X-MSMail-Priority: Normal
X-MimeOLE: Produced By Microsoft MimeOLE V4.72.2106.4


>I'm interested in finding "The Nazarene Gospel Restored"
>which I have been searching for a long time.
>I think it is part of a trilogy he wrote along
>with "King Jesus" and "Jesus in Rome". So far my
>search has been unsuccessful. I'd appreciate
>any information about this book.

The Nazarene Gospel Restored (published by Cassell, London, 1953; and Doubleday in New York, 1954) is one of the most difficult (but not *the* most difficult) of Graves' works to find. Estimates as to how many were printed vary: the largest estimate I have come across is 5,000 copies in all. I have seen only two copies for sale, one in Oxford, and the other in London, and I now own one of those. You may eventually find a copy through one of the specialist book dealers listed on the appropriate page of the Robert Graves Archive, or you may find it by pure chance (as I did). However, the book is available in academic libraries (there is a copy in the Mocatta Library at University College, London, for example), and it is also scheduled for republication in the Carcanet 'Robert Graves Programme' series in a couple of years.

It is not, as you suggest, part of a formal trilogy. The book deals with much of the same New Testament material, but it was written significantly later than King Jesus (which was published in 1946 by Cassell), and with the assistance of his co-author, Joshua Podro, a skilled Hebraicist and Biblical scholar. King Jesus by contrast leans heavily in the direction of the researches which produced The White Goddess: there is a good deal in the novel about Graves' ideas of the sacred king, and also the tree alphabet, for example, which does not reappear in The Nazarene Gospel Restored, though Graves had made the aquaintance of Joshua Podro by the time he came to write King Jesus.

Jesus in Rome is, like The Nazarene Gospel Restored, not a work of fiction, and also co-authored with Joshua Podro (published by Cassell in 1957). It might be regarded as an extended addendum to the earlier study of the Gospels.

One of the most interesting of the speakers at the August 1995 Centenary Conference in Oxford was Hyam Maccoby. He was there principally to acknowledge his indebtedness to Graves' work in the area of New Testament studies. Maccoby contributed a paper to the first issue of Gravesiana (June 1996) which was based on what he had to say at the 1995 conference, titled: 'Robert Graves and the Nazarene Gospel Restored'.Maccoby explains that:

In King Jesus, the main preoccupation of Jesus is to combat the Goddess. His death is the revenge of the Goddess, whose reign he has challenged in the name of Jehovah, the patriarchal God. All this has disappeared in The Nazarene Gospel Restored. Instead, Jesus is simply an apocalyptic Jew, whose aim is to fulfil the prophecies of the Old Testament about the coming of a human liberating Messiah, and thereby [to] release his people from slavery to Rome. His death comes about not in combat with the Goddess, but with the imperial power of Rome.

Maccoby also throws light on the poor reception accorded to The Nazarene Gospel Restored, pointing out that

From the standpoint of New Testament scholarship, The Nazarene Gospel Restored belongs to ... the Tuebingen school founded by F. C. Baur. This school of thought builds on the insight that the early Christian Church was split into two warring factions, the Jerusalem Church (sometimes called the Petrine Church) and the Pauline, or Gentile Church. ....The Jewish-Christians of the Jerusalem Church, on this view, regarded themselves as part of the general Jewish community, not as a new religion. They saw Jesus as a human Messiah... who never claimed divinity.... The Pauline Church on the other hand, had turned Jesus from a Jewish messiah into a Hellenistic saviour-god, substituting mystical identification with the death of the god for the Jewish belief in the revelation on Mount Sinai.. 
.
The Tuebingen theory was strongly opposed at the time. Maccoby argues that 'part of the opposition to The Nazarene Gospel Restored arose from the indignant conviction that Graves and Podro do were reverting to dangerous theories that had been safely scotched.' Maccoby also indicates that more recent scholars have brought new evidence to bear, showing that the split between Paul and Peter has a real basis, and mentions in particular S.G.F. Brandon.

The implication of the Tuebingen argument is that important political aspects of the life of Jesus and the activities of the various religious groups mentioned in the gospels have been downplayed, distorted, or even removed from the texts. Graves view was that 'many of the incidents in the Gospels have to be "despiritualised" in order to arrive at their historical meaning'. Paul made Jesus acceptable to Rome by depoliticising his life, and avoiding 'all awareness of Jesus as a claimant to the Jewish throne'.

The book is also short on the kind of scholarly apparatus one might expect in a work of New Testament exegesis. This has led some readers of the book to doubt that Graves worked from a base of thorough knowledge of his sources. Maccoby argues that the contrary is true, a fact which was shown by the libel action taken out against the Times Literary Supplement, which had published a hostile anonymous review. This review 'was followed by a correspondence in which the reviewer accused Graves of deliberately falsifying the Greek of a New Testament text. Graves was able to show that his textual scholarship was far superior to that of the reviewer, who had failed to take into account some important textual variations. The TLS eventually published an apololgy and the libel action was never taken to court'. Original sources are cited fully, but Graves was reluctant to become involved in dull exchanges with the views of other scholars: the consequence is that it has been too easy for scholars to dismiss the importance of the book.


Page first mounted 13 November 1999.

Thursday 12 November 2020

Conversations in Mathematics, Physics, Cosmology and Philosophy

 


I compiled this list of broadcasts in the BBC R4 series 'In Our Time', which has now been running for more than 20 years, and is moderated by the author Melvyn Bragg. The full list of broadcasts is now around 900 shows. I'm gratetful for whoever compiled the full list of shows, which made this compilation fairly straightforward to do. 

Why did I make this compilation? I wanted to assemble a body of discussion for the purpose of comment. I will provide this as and when I've listened to a particular broadcast. I've listened to quite a few of these over the years, but not remotely the majority of them. I will take them in no obvious order, according to what is of interest to me at the time.  The commentary will be added in the form of footnotes. 

Those who are familiar with my work will know that I challenge a number of aspects of the history of ideas, sometimes accepted uncritically, and those narratives that are built on conventions which have little in the way of substantial foundations. The reason for challenging our view of  our intellectual history is twofold: what we think we know about that history constrains what we can understand about the past, and therefore what we can do and think in the future.

Having gone through the entire list of broadcasts, there are some striking omissions, though these may be more apparent than real.  Cantor's work on the infinite and set theory may be discussed in the broadcast on Bertrand Russell, or in the broadcast on the concept of the Infinite. The absence of a programme about Frege may be explained in a similar way. 

There is also a large set of returning contributors, (Roger Penrose puts in a number of appearances, which of course is no bad thing). And some subjects have been discussed more than once: discovering why may be interesting.

Each individual show can be accessed by clicking on the date of broadcast.

Thomas Yaeger, November 12, 2020.


20 May 1999

The Universe's Origins

Martin Rees, Astronomer Royal and Royal Society Research Professor in Astronomy and Physics, Cambridge University
Paul Davies, theoretical physicist and Visiting Professor at Imperial College, London

25 November 1999

Consciousness

Ted Honderich, philosopher and former Grote Professor of the Philosophy of Mind and Logic, University College London
Roger Penrose, physicist, mathematician and author of The Large, The Small, and the Human Mind

30 December 1999

Time

Neil Johnson, theoretical physicist at the Clarendon Laboratory, Oxford University and Royal Institution Christmas Lectures 1999 on the subject of Time
Lee Smolin, cosmologist and Professor of Physics, Pennsylvania State University

24 February 2000

Grand unified theory

Brian Greene, Professor of Physics and Mathematics, Columbia University and Cornell University
Martin Rees, Astronomer Royal and Royal Society Research Professor in Astronomy and Physics at Cambridge University

19 October 2000

Laws of Nature

Mark Buchanan, physicist and author of Ubiquity
Frank Close, theoretical physicist and author of Lucifer's Legacy: The Meaning of Asymmetry
Nancy Cartwright, Professor of Philosophy, LSE

11 January 2001

Mathematics and Platonism

Ian Stewart, Professor of Mathematics and Gresham Professor of Geometry, University of Warwick
Margaret Wertheim, science writer, journalist and author of Pythagoras' Trousers
John D. Barrow, Professor of Applied Mathematics and Theoretical Physics, University of Cambridge.

22 February 2001

Quantum Gravity

John Gribbin, Visiting Fellow in Astronomy, University of Sussex
Lee Smolin, Professor of Physics, Centre for Gravitational Physics and Geometry, Pennsylvania State University and Visiting Professor of Physics at Imperial College, London
Janna Levin, Advanced Fellow, Department of Applied Mathematics and Theoretical Physics, Cambridge University

12 April 2001

Black Holes

Martin Rees, Astronomer Royal – 2001, Professor of Physics and Astronomy at Cambridge University
Jocelyn Bell Burnell, Professor of Physics at The Open University
Martin Ward, director of the X-Ray Astronomy Group at the University of Leicester

10 January 2002

Nuclear Physics

Jim Al-Khalili, Senior Lecturer in Physics at the University of Surrey
Christine Sutton, Particle Physicist and Lecturer in Physics at St Catherine's College Oxford
John Gribbin, Visiting Fellow in Astronomy at the University of Sussex

7 February 2002

The Universe's Shape

Martin Rees, Royal Society Research Professor in Astronomy and Physics, Cambridge University
Julian Barbour, Independent Theoretical Physicist
Janna Levin, Advanced Fellow in Theoretical Physics at the University of Cambridge

2 May 2002

Physics of Reality – Quantum Mechanics

Roger Penrose, Emeritus Rouse Ball Professor of Mathematics, Oxford University
Fay Dowker, Lecturer in Theoretical Physics, Queen Mary, University of London
Tony Sudbery, Professor of Mathematics, University of York

16 May 2002

Chaos Theory – was the universe chaotic or orderly?

Susan Greenfield, senior research fellow, Lincoln College, Oxford
David Papineau, Professor of the Philosophy of Science, King's College London
Neil Johnson, University Lecturer in Physics at Oxford University

27 Mar 2003

Supernovas – the life cycle of stars

Paul Murdin, Senior Fellow at the Institute of Astronomy, Cambridge
Janna Levin, Advanced Fellow in Theoretical Physics in the Department of Applied Mathematics & Theoretical Physics at the University of Cambridge
Phil Charles, Professor of Astronomy at Southampton University

2 October 2003

James Clerk Maxwell – great 19th century physicist

Simon Schaffer, Reader in History and Philosophy of Science at the University of Cambridge
Peter Harman, Professor of the History of Science at Lancaster University and editor of The Scientific Letters and Papers of James Clerk Maxwell
Joanna Haigh, Professor of Atmospheric Physics at Imperial College London

23 October 2003

Infinity – a brief history.

Ian Stewart, Professor of Mathematics at the University of Warwick
Robert D. Kaplan, co-founder of The Math Circle at Harvard University and author of The Art of the Infinite: Our Lost Language of Numbers
Sarah Rees, Reader in Pure Mathematics at the University of Newcastle

19 February 2004

Rutherford – the father of nuclear physics

Simon Schaffer, Professor in the History and Philosophy of Science at the University of Cambridge
Jim Al-Khalili, Senior Lecturer in Physics at the University of Surrey
Patricia Fara, Fellow of Clare College, Cambridge

25 March 2004

Theories of Everything – still the holy grail of physics?

Brian Greene, Professor of Physics and Mathematics at Columbia University and author of The Fabric of the Cosmos
John Barrow, Professor of Mathematical Sciences at the University of Cambridge and author of The Constants of Nature
Val Gibson, particle physicist from the Cavendish Laboratory and Fellow of Trinity College, Cambridge

13 May 2004

Zero – everything about nothing

Robert D. Kaplan, co-founder of the Maths Circle at Harvard University and author of The Nothing That Is: A Natural History of Zero
Ian Stewart, Professor of Mathematics at the University of Warwick
Lisa Jardine, Professor of Renaissance Studies at Queen Mary, University of London

2 September 2004

Pi – the number that doesn't add up

Robert D. Kaplan, co-founder of the Maths Circle at Harvard University
Eleanor Robson, Lecturer in the Department of History and Philosophy of Science at Cambridge University
Ian Stewart, Professor of Mathematics at the University of Warwick

16 December 2004

The Second Law of Thermodynamics – the most important thing you will ever know

John Gribbin, Visiting Fellow in Astronomy at the University of Sussex
Peter Atkins, Professor of Chemistry at Oxford University
Monica Grady, Head of Petrology and Meteoritics at the Natural History Museum

17 March 2005

Dark Energy – the unknown force breaking the universe apart

Martin Rees, Astronomer Royal and Professor of Cosmology and Astrophysics, Cambridge University
Carolin CrawfordRoyal Society University Research Fellow at the Institute of AstronomyUniversity of Cambridge
Roger Penrose, Emeritus Rouse Ball Professor of Maths at Oxford University

29 September 2005

Magnetism – an attractive history

Stephen Pumfrey, Senior Lecturer in the History of Science at the University of Lancaster

John Heilbron, Emeritus Professor of History at the University of California, Berkeley
Lisa Jardine, Professor of Renaissance Studies at Queen MaryUniversity of London

24 November 2005

The Graviton – the quest for the theoretical gravity particle

Roger Cashmore, Former Research Director at CERN and Principal of Brasenose College, Oxford

Jim Al-Khalili, Professor of Physics at the University of Surrey
Sheila Rowan, Reader in Physics in the Department of Physics and Astronomy at the University of Glasgow

12 January 2006

Prime Numbers – the building blocks of mathematics

Marcus du Sautoy, Professor of Mathematics and Fellow of Wadham College at the University of Oxford

Robin Wilson, Professor of Pure Mathematics at the Open University and Gresham Professor of Geometry
Jackie Stedall, Junior Research Fellow in the History of Mathematics at Queen's College, Oxford

9 March 2006

Negative numbers – how they spread across civilizations

Ian Stewart, Professor of Mathematics at the University of Warwick

Colva Roney-Dougal, Lecturer in Pure Mathematics at the University of St Andrews
Raymond Flood, Lecturer in Computing Studies and Mathematics at Kellogg College, Oxford

29 June 2006

Galaxies – extra-galactic nebulae, black holes, stars and dark matter

John Gribbin, Visiting Fellow in Astronomy at the University of Sussex

Carolin CrawfordRoyal Society University Research Fellow at the Institute of Astronomy at Cambridge
Robert Kennicutt, Plumian Professor of Astronomy and Experimental Philosophy at the University of Cambridge

2 November 2006

The Poincaré conjecture – how a 19th-century mathematician changed how we think about the shape of the universe

June Barrow-Green, Lecturer in the History of Mathematics at the Open University

Ian Stewart, Professor of Mathematics at the University of Warwick
Marcus du Sautoy, Professor of Mathematics at the University of Oxford

30 November 2006

The Speed of Light – a cosmic speed limit?

John Barrow, Professor of Mathematical Sciences and Gresham Professor of Astronomy at Cambridge University

Iwan Morus, Senior Lecturer in the History of Science at The University of Wales, Aberystwyth
Jocelyn Bell Burnell, Visiting Professor of Astrophysics at Oxford University.

14 December 2006

Indian Maths – laying the foundations for modern numerals and zero as a number

George Gheverghese Joseph, Honorary Reader in Mathematics Education at Manchester University

Colva Roney-Dougal, Lecturer in Pure Mathematics at the University of St Andrews
Dennis Almeida, Lecturer in Mathematics Education at Exeter University and the Open University

19 April 2007

Symmetry – the pattern at the heart of our physical world

Fay Dowker, Reader in Theoretical Physics at Imperial College, London

Marcus du Sautoy, Professor of Mathematics at the University of Oxford
Ian Stewart, Professor of Mathematics at the University of Warwick

17 May 2007

Gravitational Waves – a new window on the universe

Jim Al-Khalili, Professor of Physics at the University of Surrey

Carolin Crawford, Royal Society Research Fellow at the Institute of Astronomy, Cambridgee
Sheila Rowan, Professor in Experimental Physics in the Department of Physics and Astronomy at the University of Glasgow

4 October 2007

Antimatter – where has it all gone?

Val Gibson, Reader in High Energy Physics at the University of Cambridge

Frank Close, Professor of Physics at Exeter College, University of Oxford
Ruth Gregory, Professor of Mathematics and Physics at the University of Durham

29 November 2007

The Fibonacci Sequence – – the numbers in nature

Marcus du Sautoy, Professor of Mathematics at the University of Oxford

Jackie Stedall, Junior Research Fellow in History of Mathematics at Queen's College, Oxford
Ron Knott, Visiting Fellow in the Department of Mathematics at the University of Surrey

21 February 2008

The Multiverse – the universe is not enough

Martin Rees, President of the Royal Society and Professor of Cosmology and Astrophysics at the University of Cambridge

Fay Dowker, Reader in Theoretical Physics at Imperial College
Bernard Carr, Professor of Mathematics and Astronomy at Queen Mary, University of London

3 April 2008

Newton's Laws of Motion – they put a man on the Moon

Simon Schaffer, Professor in History and Philosophy of Science at the University of Cambridge and Fellow of Darwin College

Raymond Flood, University Lecturer in Computing Studies and Mathematics and Senior Tutor at Kellogg College, Oxford
Rob Iliffe, Professor of Intellectual History and History of Science at the University of Sussex

29 May 2008

Probability – heads or tails?

Marcus du Sautoy, Professor of Mathematics at the University of Oxford

Colva Roney-Dougal, Lecturer in Pure Mathematics at the University of St Andrews
Ian Stewart, Professor of Mathematics at the University of Warwick

9 October 2008

Gödel's incompleteness theorems – the dirty secret of maths science

Marcus du Sautoy, Professor of Mathematics at Wadham CollegeUniversity of Oxford

John D. Barrow, Professor of Mathematical Sciences at the University of Cambridge and Gresham Professor of Geometry
Philip Welch, Professor of Mathematical Logic at the University of Bristol

4 December 2008

Heat: A History -from fire to thermodynamics

Simon Schaffer, Professor of History of Science at the University of Cambridge and Fellow of Darwin College

Hasok Chang, Professor of Philosophy of Science at University College London
Joanna Haigh, Professor of Atmospheric Physics at Imperial College London

18 December 2008

The Physics of Time – does time even exist?

Jim Al-Khalili, Professor of Theoretical Physics and Chair in the Public Engagement in Science at the University of Surrey

Monica Grady, Professor of Planetary and Space Sciences at the Open University
Ian Stewart, Professor of Mathematics at the University of Warwick

5 March 2009

The Measurement problem in Physics – Man is not the measure of all things

Basil Hiley, Emeritus Professor of Physics at Birkbeck, University of London

Simon Saunders, Reader in Philosophy of Physics and University Lecturer in Philosophy of Science at the University of Oxford
Roger Penrose, Emeritus Rouse Ball Professor of Mathematics at the University of Oxford

30 April 2009

The Vacuum of Space – a programme about nothing?

Frank Close, Professor of Physics at Exeter College, Oxford

Jocelyn Bell Burnell, Visiting Professor in Astrophysics at Oxford University
Ruth Gregory, Professor of Theoretical Physics at Durham University

24 September 2009

Leibniz vs Newton – who first calculated the calculus?

Simon Schaffer, Professor of History of Science at the University of Cambridge and Fellow of Darwin College

Patricia Fara, Senior Tutor at Clare College, Cambridge
Jackie Stedall, Departmental Lecturer in History of Mathematics at the University of Oxford

12 November 2009

The Discovery of Radiation – from radio waves to gamma rays

Jim Al-Khalili, Professor of Theoretical Physics and Chair in the Public Engagement in Science at the University of Surrey

Frank Close, Professor of Physics at Exeter College, University of Oxford
Frank James, Professor of the History of Science at the Royal Institution

10 December 2009

Pythagoras and the Pythagoreans – maths and mysticism

Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick

Serafina Cuomo, Reader in Roman History at Birkbeck College, University of London
John O'Connor, Senior Lecturer in Mathematics at the University of St Andrews

11 February 2010

The Unintended Consequences of Mathematics

John D. Barrow, Professor of Mathematical Sciences at the University of Cambridge and Professor of Geometry at Gresham College, London

Colva Roney-Dougal, Lecturer in Pure Mathematics at the University of St Andrews
Marcus du Sautoy, Charles Simonyi Professor for the Public Understanding of Science and Professor of Mathematics at the University of Oxford.

6 May 2010

The Cool Universe

Carolin Crawford, Member of the Institute of Astronomy, and Fellow of Emmanuel College, at the University of Cambridge

Paul Murdin, Visiting Professor of Astronomy at Liverpool John Moores University's Astronomy Research Institute
Michael Rowan-Robinson, Professor of Astrophysics at Imperial College, London

23 September 2010

Imaginary numbers

Marcus du Sautoy, Professor of Mathematics at Oxford University

Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick
Caroline Series[1] Professor of Mathematics at the University of Warwick

21 October 2010

History of logic

A. C. Grayling, Professor of Philosophy at Birkbeck, University of London

Peter Millican, Gilbert Ryle Fellow in Philosophy at Hertford College, Oxford
Rosanna Keefe, [5], Senior Lecturer in Philosophy at the University of Sheffield

16 December 2010

Daoism

Tim Barrett, Professor of East Asian History at the School of Oriental and African StudiesUniversity of London

Martin Palmer, Director of the International Consultancy on Religion, Education and Culture
Hilde de Weerdt, Fellow and Tutor in Chinese History at Pembroke College, University of Oxford

13 January 2011

Random and Pseudorandom

Marcus du Sautoy, Professor of Mathematics at the University of Oxford

Colva Roney-Dougal, Senior Lecturer in Pure Mathematics at the University of St Andrews
Timothy Gowers, Royal Society Research Professor in Mathematics at the University of Cambridge

3 March 2011

The Age of the Universe

Martin Rees, Astronomer Royal and Emeritus Professor of Cosmology and Astrophysics at the University of Cambridge

Carolin Crawford, Member of the Institute of Astronomy and Fellow of Emmanuel College at the University of Cambridge
Carlos Frenk, Director of the Institute for Computational Cosmology at the University of Durham

14 April 2011

The Neutrino

Frank Close, Professor of Physics at Exeter College at the University of Oxford

Susan Cartwright, Senior Lecturer in Particle Physics and Astrophysics at the University of Sheffield
David Wark, Professor of Particle Physics at Imperial College, London, and the Rutherford Appleton Laboratory

8 December 2011

Heraclitus

Angie Hobbs, associate professor of Philosophy and Senior Fellow in the Public Understanding of Philosophy at the University of Warwick

Peter Adamson, Professor of Ancient and Medieval Philosophy at King's College London
James Warren, Senior Lecturer in Classics and a Fellow of Corpus Christi College, Cambridge

26 January 2012

The Scientific method

Simon Schaffer, Professor of the History of Science at the University of Cambridge

John Worrall, Professor of the Philosophy of Science at the London School of Economics and Political Science
Michela Massimi, Senior Lecturer in the Philosophy of Science at University College London

29 March 2012

The Measurement of Time

Kristen Lippincott, Former Director of the Royal Observatory, Greenwich

Jim Bennett, Director of the Museum of the History of Science at the University of Oxford
Jonathan Betts, Senior Curator of Horology at the Royal Observatory, Greenwich

19 April 2012

Neoplatonism

Angie Hobbs, associate professor of Philosophy and Senior Fellow in the Public Understanding of Philosophy at the University of Warwick

Peter Adamson, Professor of Ancient and Medieval Philosophy at King's College London
Anne Sheppard, Professor of Ancient Philosophy at Royal Holloway, University of London

10 May 2012

Game Theory

Ian StewartEmeritus Professor of Mathematics at the University of Warwick

Andrew Colman, Professor of Psychology at the University of Leicester
Richard Bradley, Professor of Philosophy at the London School of Economics and Political Science

27 September 2012

The Ontological Argument

John Haldane, Professor of Philosophy at the University of St Andrews

Peter Millican, Professor of Philosophy at the University of Oxford
Clare Carlisle, Lecturer in Philosophy of religion at King's College London

25 October 2012

Fermat's Last Theorem

Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the Public Understanding of Science at the University of Oxford

Vicky Neale, Fellow and Director of Studies in Mathematics at Murray Edwards College at the University of Cambridge
Samir Siksek, Professor at the Mathematics Institute at the University of Warwick

29 November 2012

Crystallography

Judith Howard, Director of the Biophysical Sciences Institute and Professor of Chemistry at the University of Durham

Chris Hammond, Life Fellow in Material Science at the University of Leeds
Mike Glazer, Emeritus Professor of Physics at the University of Oxford and Visiting Professor of Physics at the University of Warwick

6 December 2012

Bertrand Russell

A. C. Grayling, Master of the New College of the Humanities and a Supernumerary Fellow of St Anne's College, Oxford

Mike Beaney, Professor of Philosophy at the University of York
Hilary Greaves, Lecturer in Philosophy and Fellow of Somerville College, Oxford

7 March 2013

Absolute Zero

Simon Schaffer, Professor of the History of Science at the University of Cambridge

Stephen Blundell, Professor of Physics at the University of Oxford
Nicola Wilkin, Lecturer in Theoretical Physics at the University of Birmingham

2 May 2013

Gnosticism

Martin Palmer, Director of the International Consultancy on Religion, Education, and Culture

Caroline Humfress, Reader in History at Birkbeck College, University of London
Alastair Logan, Honorary University Fellow of the Department of Theology and Religion at the University of Exeter

16 May 2013

Cosmic rays

Carolin CrawfordGresham Professor of Astronomy and a member of the Institute of Astronomy at the University of Cambridge

Alan WatsonEmeritus Professor of Physics at the University of Leeds
Tim Greenshaw, Professor of Physics at the University of Liverpool

6 June 2013

Relativity

Ruth Gregory, Professor of Mathematics and Physics at Durham University

Martin ReesAstronomer Royal and Emeritus Professor of Cosmology and Astrophysics at the University of Cambridge
Roger PenroseEmeritus Rouse Ball Professor of Mathematics at the University of Oxford

5 December 2013

Hindu Ideas of Creation

Jessica Frazier[30] Lecturer in Religious Studies at the University of Kent and a research fellow of the Oxford Centre for Hindu Studies at the University of Oxford

Chakravarthi Ram-Prasad[31] Professor of Comparative Religion and Philosophy at Lancaster University
Gavin Flood[32] Professor of Hindu Studies and Comparative Religion at the University of Oxford

19 December 2013

Complexity

Ian Stewart[36] Emeritus Professor of Mathematics at the University of Warwick

Jeff Johnson, [37] Professor of Complexity Science and Design at the Open University
Eve Mitleton-Kelly, [38] Director of the Complexity Research Group at the London School of Economics

20 March 2014

Bishop Berkeley

Peter Millican[69] Gilbert Ryle Fellow and Professor of Philosophy at Hertford College, Oxford

Tom Stoneham[70] Professor of Philosophy at the University of York
Michela Massimi, [71] Senior Lecturer in Philosophy of Science at the University of Edinburgh

3 April 2014

States of Matter

Andrea Sella[75] Professor of Materials and Inorganic Chemistry at University College London

Athene Donald[76] Professor of Experimental Physics at the University of Cambridge
Justin Wark, [77] Professor of Physics and Fellow of Trinity College, Oxford

25 September 2014

e

Colva Roney-Dougal[119] Reader in Pure Mathematics at the University of St Andrews

June Barrow-Green[120] Senior Lecturer in the History of Maths at the Open University
Vicky Neale[121] Whitehead Lecturer at the Mathematical Institute and Balliol College, Oxford

30 October 2014

Nuclear Fusion

Philippa Browning, [134] Professor of Astrophysics, Jodrell Bank Centre for Astrophysics, School of Physics and Astronomy, University of Manchester

Steve Cowley, [135] Professor in Plasma Physics, Faculty of Natural Sciences, Department of Physics Imperial College, London
Justin Wark, [136] Professor of Physics, University of Oxford

4 December 2014

Zen

Tim Barrett, [148] Emeritus Professor at Department of the Study of Religions, SOAS, University of London

Lucia Dolce, [149] Numata Reader in Japanese Buddhism at SOAS, University of London
Eric Greene, [150] Lecturer in East Asian Religions at the University of Bristol

22 January 2015

Phenomenology

Simon Glendinning[160] Professor of European Philosophy in the European Institute at the London School of Economics

Joanna Hodge, [161] Professor of Philosophy at Manchester Metropolitan University
Stephen Mulhall[162] Professor of Philosophy and Tutor at New College, Oxford

5 February 2015

Ashoka the Great

Jessica Frazier[166] Lecturer in Religious Studies at the University of Kent and a research fellow at the Oxford Centre for Hindu Studies

Naomi Appleton, [167] Chancellor's Fellow in Religious Studies at the University of Edinburgh
Richard Gombrich[168] Founder and Academic Director of the Oxford Centre for Buddhist Studies and Emeritus Professor of Sanskrit at the University of Oxford

12 February 2015

The Photon

Frank Close[169] Professor Emeritus of Physics at the University of Oxford

Wendy Flavell, [170] Professor of Surface Physics at the University of Manchester
Susan Cartwright, [171] Senior Lecturer in Physics and Astronomy at the University of Sheffield

12 March 2015

Dark matter

Carolin Crawford[181] Public Astronomer at the Institute of Astronomy, University of Cambridge
Gresham Professor of Astronomy

Carlos Frenk[182] Ogden Professor of Fundamental Physics and Director of the Institute for Computational Cosmology at the University of Durham
Anne Green, [183] Reader in Physics at the University of Nottingham

24 September 2015

Perpetual motion

Ruth Gregory, Professor of Mathematics and Physics at Durham University

Frank Close, Professor Emeritus of Physics at the University of Oxford
Steven Bramwell, Professor of Physics and former Professor of Chemistry at University College London

5 November 2015

P v NP

Colva Roney-Dougal, Reader in Pure Mathematics at the University of St Andrews

Timothy Gowers, Royal Society Research Professor in Mathematics at the University of Cambridge
Leslie Ann Goldberg, Professor of Computer Science and Fellow of St Edmund HallUniversity of Oxford

25 December 2015

Michael Faraday

Geoffrey Cantor, Professor Emeritus of the History of Science at the University of Leeds

Laura Herz, Professor of Physics at the University of Oxford
Frank James, Professor of the History of Science at the Royal Institution

14 April 2016

The Neutron

Val Gibson, Professor of High Energy Physics at the University of Cambridge and fellow of Trinity College

Andrew Harrison, chief executive officer of Diamond Light Source and Professor in Chemistry at the University of Edinburgh
Frank Close, Professor Emeritus of Physics at the University of Oxford

28 April 2016

Euclid's Elements

Marcus du Sautoy, Professor of Mathematics and Simonyi Professor for the Public Understanding of Science at the University of Oxford

Serafina Cuomo, Reader in Roman History at Birkbeck, University of London
June Barrow-Green, Professor of the History of Mathematics at the Open University

22 September 2016

Zeno's paradoxes

Marcus du Sautoy, Professor of Mathematics and Simonyi Professor for the Public Understanding of Science at the University of Oxford

Barbara Sattler, Lecturer in Philosophy at the University of St Andrews
James Warren, Reader in Ancient Philosophy at the University of Cambridge

29 December 2016

Johannes Kepler

David Wootton, Professor of History at the University of York

Ulinka Rublack, Professor of Early Modern European History at the University of Cambridge and Fellow of St John's College
Adam Mosley, associate professor in the Department of History at Swansea University

16 February 2017

Maths in the Early Islamic World

Colva Roney-Dougal, Reader in Pure Mathematics at the University of St Andrews

Peter Pormann, Professor of Classics & Graeco-Arabic Studies at the University of Manchester
Jim Al-Khalili, Professor of Physics at the University of Surrey

6 April 2017

Pauli exclusion principle

Frank Close, Fellow Emeritus at Exeter College, Oxford

Michela Massimi, Professor of Philosophy of Science at the University of Edinburgh
Graham Farmelo, Bye-Fellow of Churchill College, Cambridge

29 June 2017

Plato's Republic

Angie Hobbs, Professor of the Public Understanding of Philosophy at the University of Sheffield

M.M. McCabe, Professor of Ancient Philosophy Emerita at King's College London
James Warren, Fellow of Corpus Christi College and a Reader in Ancient Philosophy at the University of Cambridge

30 November 2017

Carl Friedrich Gauss

Marcus du Sautoy, Professor of Mathematics and Simonyi Professor for the Public Understanding of Science at the University of Oxford

Colva Roney-Dougal, Reader in Pure Mathematics at the University of St Andrews
Nick Evans, Professor of Theoretical Physics at the University of Southampton

26 April 2018

Proton

Frank Close, Professor Emeritus of Physics at the University of Oxford

Helen Heath, Reader in Physics at the University of Bristol
Simon Jolly, Lecturer in High Energy Physics at University College London

9 May 2019

Bergson and Time

Keith Ansell-Pearson, Professor of Philosophy at the University of Warwick

Emily Thomas, Assistant Professor in Philosophy at Durham University
Mark Sinclair, Reader in Philosophy at the University of Roehampton

23 May 2019

Kinetic Theory

Steven Bramwell, Professor of Physics at University College London
Isobel Falconer, Reader in History of Mathematics at the University of St Andrews
Ted Forgan, Emeritus Professor of Physics at the University of Birmingham

23 January 2020

Solar Wind

Andrew Coates,Professor of Physics and Deputy Director in charge of the Solar System at the Mullard Space Science LaboratoryUniversity College London
Helen Mason, Reader in Solar Physics at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Fellow at St Edmund's College, Cambridge
Tim Horbury, Professor of Physics at Imperial College London

5 March 2020

Paul Dirac

Graham Farmelo, Biographer of Dirac and Fellow at Churchill College, Cambridge
Valerie Gibson, Professor of High Energy Physics at the University of Cambridge and Fellow of Trinity College
David Berman, Professor of Theoretical Physics at Queen Mary University of London

8 October 2020

Deism

Richard Serjeantson, Fellow and Lecturer in History, Trinity CollegeUniversity of Cambridge
Katie East, Lecturer in History with the School of History, Classics and Archaeology at Newcastle University
Thomas Ahnert, Professor of Intellectual History at the University of Edinburgh

15 October 2020

Alan Turing

Leslie Ann Goldberg, Professor of Computer Science and Fellow of St Edmund HallUniversity of Oxford
Simon Schaffer,Professor of the History of Science at the University of Cambridge and Fellow of Darwin College
Andrew Hodges, Biographer of Turing and Emeritus Fellow of Wadham College, Oxford