Sunday, 18 February 2018

How the Sacred and Profane Worlds were Joined



This is an abridged and retitled version of a chapter in The Sacred History of Being, which explores  interconnections between earthly and Divine realities in antiquity. A key thing to observe is that the idea of such interconnections is established on logical grounds. The reality of the Divine world is inferred, on the basis of the visible imperfections of profane reality, but the two worlds must be connected in some way if reality itself is not to be necessarily irrational in nature (this also was argued on logical grounds). Establishing the connection between the worlds was a major preoccupation in antiquity: things should ‘meet and agree’. 

The original chapter contained footnotes, which I have removed for ease of reading. I’ve reduced the number of modes of connection which are discussed also. The essential argument of the chapter however remains the same.

TY February 18, 2018.

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Since the world of the divine is a transcendent reality, the nature of that reality is not going to conform to our secular understanding of the existent world. This is an important point, which would have been considered in antiquity. Thus, there is no reason to presume that extension is represented or has reality in the same way in which extension exists in normal space. There is also no reason to presume that time is represented or has reality in the same way in which time exists in the secular world (the secular world being, by definition, the world of time, or the world existing in time). 

Almost every aspect of the world of existence will have a different nature in the divine world, to the point where we would find it difficult or impossible to establish the connection between one and the other. We are not accustomed to imagining that the ancients thought in such terms, except perhaps within the Academy, or within Parmenides circle.

There are many conceptions which are associated with the divine reality. This may seem a strange way to understand the world of the divine. But it is no more a species of imprecision to do this than it is to create a pantheon of gods, all of which have something of the divine about them. The problem with the divine is that it is forever beyond our capacity to fully understand, by definition. Therefore we can only say things about it from a particular point of view, at a particular time, and under certain circumstances. All within the limitations of the human understanding. Beyond that our interpretation is more or less imperfect. This means that our understanding of the divine is forever contingent – in essence a species of conjecture rather than full understanding.

This is a difficult idea to communicate, given the last two thousand years of theological speculation, and religious struggle in the world. It may seem an unimaginable idea – that the theological ideas of the ancient world were understood to be conjectural, and ultimately contingent on the limitations of the human understanding.

For us, even before the advent of the empirical approach to knowledge during the European enlightenment, we attempted to construct our notions of the world and what is real on what could be established as far as possible, whether what was established was on the basis of logical inference or deduction, on the basis of experience, or was revealed to us by the divine. Conjecture might have been tolerable (or even encouraged to an extent) within the church school and the seminary, but only in so far as it was desirable that scholars produced by religious institutions should be able to use their critical faculties to the best of their ability, in the service of Church and state. But in the end, conjecture is not something we generally wish to face as an important component of our picture of the world.

In constructing ideas of the gods, and creating images of them, the ancients were engaging in the enterprise of framing their understanding of the divine world. They did this on the basis of the idea that the realm of reality (which we have spoken of as Being earlier in this essay), being unchanging in its nature, must still stand behind the world of appearance and existence. This latter world is an image of it, but is not a perfect representation of it. The realm of reality embraces it, but the world of appearance and existence is necessarily a lesser world. However, because it is a good semblance of it, there must be the possibility of aspects of the realm of the reality being manifest in the world. On the basis of their ideas about the nature of the divine, of the supremely perfect Being, we might ask what they would look for in the world which would represent the presence of the supreme Being, woven all through the world, as the soul is woven all through the world in Plato’s model. They would ask: where is it? What shape does it have? How big is it? What properties does it have? And so on.

This is an incomplete list of items which were identified in antiquity as representing what we might term ‘bleedthrough’ from the divine reality. These were things which were regarded as of great importance – in a sense, of more importance than the gods themselves, in that they were aspects of the divine which had reality in our world, and did not depend to the same extent on human conjecture. They are therefore more profoundly real than the gods.

1. Limit: Before the idea of Being, there is no reason to have a sophisticated attitude to limit. One can have the idea that things are separate from other things, or must be separate from other things, and that there is a point of demarcation which marks off where one thing ends and another begins. It is also possible to have the conception that it might be desirable or even necessary to move from one side of the limit to the other. It is also possible to imagine the divine as having existence on the other side of a limit, without there being anything very sophisticated in the conception. A sophisticated conception of a modus operandi of contact with the divine however will not emerge from this, until an intellectual basis for there being a reason why things should be connected is understood. Before Being, one side of the limit or border is the concern. However, once the idea of Being is in play, then the limit itself becomes the focus of interest. The existence of a sophisticated idea of Being means that what exists is understood to be less real than reality itself (the idea of Being from St Anselm onwards was not very sophisticated).

2. Perfection: Before the idea of Being, talking of perfection is focused on the subjective notion of perfection, and the term is used either rhetorically, or refers simply to quality of workmanship or quality of action. It has no bearing on ideas relating to the divine, or to reality. The idea may however be extended to application to the divine and to the gods. By analogy, something which has great perfection will come to be understood to transcend other objects or works of a similar kind, and this transcendence will come to be applied to the divine. It is however a long step to realizing that a proposed perfection means that the divine is actually unintelligible to us, and that the divine is Being itself, beyond any fixed or rigid attributes. Perfection as a quality which may actually connect with the divine, rather than merely showing transcendence of other lesser perfections, is an idea which is dependent on the concept of the divine as Being.

3. Completion: The idea of completion is related to the idea of perfection, particularly in connection with the nature of the divine. However completion as a concept relates more closely to the idea of limit, in that it is a property of the concept of Okeanos in Greece, and the all-enveloping Apsu in Mesopotamia. It is an interesting concept in connection with the idea of a circle, since it is impossible to determine the beginning or end of a circle, at least when it is unbroken. The concept may be used in a great many ways, from indicated the completion of a form, nature, or the performance of ritual and liturgy, and so on. It might also be used to indicate the end of a life, or a process. What is completed has some property in connection with the divine, some participation with it, in that the realm of the divine must be complete as opposed to the world of existence, which is incomplete in its general nature. I suspect that the idea of completion was one of the first mundane properties in the world to be identified as a potential access point to the divine world.

4. Excellence: Excellence is a concept which the Greeks had a particular interest in, but it is an idea which, like the ideas of completion and perfection, is referred to throughout the ancient world. To excel is to exceed something. So something which possesses excellence transcends the excellence of some other thing. This is its comparative use, but it is also used intransitively, so that something can be said to have a special excellence of its own, irrespective of the qualities of other things. Hence its use by Aristotle in his moral and ethical treatises. Ultimately it is about transcendence, whether of oneself or of other things. The world of the divine is both more excellent than the secular world, but it also possesses a special excellence of its own. Excellence is something which exists in the world of existence which has a connection with the reality which stands behind it.

5. Greatness: the idea of greatness as we have seen an idea which was pressed into service in the Middle Ages to try to prove the existence of the supreme Being. Greatness is naturally something which the human understanding would wish to associate with the supreme Being. It has been in the past associated with the gods – Herodotus refers to the rituals associated with the cult of the great gods on Samos, without going into any detail, which is frustrating. The great gods were known as the ‘Kaberioi,’ which indicates a near eastern origin for this cult, since kbr is the semitic root for ‘great’. Great however is an imprecise term, merely indicating that these gods transcend other gods, or that that their special excellence is their greatness. It is however an appropriate term to describe men who might be classed in this way, who, through the quality of their greatness, on the field of battle, in their wisdom, and a thousand other attributes, might be understood to have some empathy with the gods.

6. Justice: the focus on justice in the ancient world in general, and not simply among the Greeks, might indicate to the cynical modern sensibility only that justice was in short supply. It might indeed be the case that it was much referenced precisely because there was little access to it. However the discussion of the subject in Plato makes it clear that it is an idea which has its place in this exploration of the earthly corollaries of aspects of the divine nature which have some form of existence here on earth. Justice was presumed to be something which was perfected in the divine world, but justice in the secular world is a different matter. The very nature of the world of existence means that justice – true justice is unobtainable. What we can access is a poor copy of something which can only exist elsewhere. It is interesting that both in Mesopotamia and in Greece it was the Sun god (Shamash and Apollo respectively) which were responsible for the dispensation of justice on earth.

The gods might know what is just, but our capacity to discern it is limited, and the dispensation of justice by the gods is sometimes hard for man to understand and accept. One of the images of the dispensation of justice, is of the participation in battle of the sun god. Assyrian reliefs show Shamash hovering above opposing forces in the winged circle. The meaning of this is at least two-fold: the god is involved in the outcome of the battle, which represents a way of dispensing just decision; and the to-ing and fro-ing of battle represents the difficulty of apportioning justice in the world of existence. It also means that the engagement in battle was understood by kings, priests and generals as a legitimate way of establishing right. In Homer, there is a famous passage where opposing forces are described as being bounded by ropes, which are pulled this way and that in the course of the battle.  These ropes are also found in the iconography of Shamash.  The underlying idea is the same.

7. Proportion: aspects of the divine reality can exist in the secular world expressed in terms of proportion. Thus, in a figure, a side which bears a proportionate relationship to another side, can be regarded as an image or representation of it, in a way similar to the understanding that the image of a god bears a relation to the god itself. Proportionate relationships in a structure, object or image could therefore be used as a way of enhancing the meaning of images and representations which bore a relationship with the divine reality. This is an enormous subject, worth a monograph on its own.

8. Purity: Purity is an attribute which might be associated with the idea of perfection, and often was. But purity can be attributed to things in a different way – not everything which is pure is to be regarded as a perfection. Something which is perfect is just that. Purity on the other hand, is an attribute which can be put on and put off in a way which perfection cannot.  This distinction is of great importance in the Assyrian and Babylonian contexts, since in order to create divine statues, the craftsmen required to be given a temporary divinity. Thus the purity, a temporary perfection, can be put on for the purpose of the work. This was achieved through the perfection of the appropriate ritual. Afterwards it was removed by the performance of another ritual.

9. Wholes and Totalities. Things which are whole are regarded as participating with one another, in that they share the property of wholeness, or totality. This idea is a strong pointer to the essentially subjective nature of the model of the world in which these things are important, since the wholeness of something is sometimes attributed, rather than being a property of an entity. There is a doctrine associated with wholes and totalities, which is attributed to Pythagoras. It is also referenced by Plato. The doctrine however is much older than the middle of the first millennium B.C.E.

Those are nine phenomena which can appear in the world of existence, which were understood to allow and enhance connection with the divine reality which stands eternally behind the physical world. This is an edited list, but it is sufficient to illustrate what was in the mind of man attempting contact with the divine.

Other things which we might consider, which were of great importance in the ancient world, include the idea of reduplication, principally of concepts, attributes and properties. The point of reduplication is emphasis. Two collocated symbols, meaning the same, could be understood to double the power of the image and the connection.

Another related idea is ‘collection’, sometimes expressed in ancient texts as ‘heaping up’. This refers to the bringing together, usually of good things (but not always), sometimes in the context of an altar and a priest. There may be several reasons for creating such a collocation, depending on the objects involved, but ‘heaping up’ is a good thing in itself, if the intention of the supplicant is to multiply and reduplicate the offering. It is obvious from the study of ancient iconography that many images are reduplicated directly, in a way which does not amount to a purely aesthetic distribution of images, and in addition, the meaning of symbols and tableau are reduplicated using different images. The effect is of reduplication, and to make such assemblages identifies to the informed viewer, what is the same among what is apparently different. These assemblages are of course addressed to the gods, and the divine.

Another action which was understood to convey an aspect of the divine world in the physical world is ‘division’. This concept is very closely associated with the ideas of justice and of decision, but it is possible for division to be separated from these ideas, in that division can take place without the wish or need for justice, or of decision. At least in terms of our modern understanding of what justice is. Ultimately the connection between the ideas is about ‘good order’, and ‘meeting and agreeing’.

The association of justice and the power of division with kingship is very strong in the ancient near east – the sun god Shamash is often represented as holding a saw, and the Egyptian kings were also represented with the symbol of the Neteru (axes). In both cases, the instrument for deciding the fate of anything is clearly not a weapon but a tool (though weapons of war also were understood as legitimate tools of the gods). If it is possible to understand the creation and generation of the world as a decision of the gods, then the nature of reality has been divided, at least insofar as there is now a world of existence which has descended into secular time, and which is cut down from Being itself. The power of kings to deal justice comes from their participation in the nature of the divine Being, though they live and function in the world of existence.

Division is also important in gaining an apprehension of what is real and what is not, and in understanding how one thing is different from another. Ultimately it is the basis of logic and classification which we find in developed form among the Greeks in the middle of the first millennium B.C.E. Sumerologists were puzzled to find tablets listing things together which to us had no meaningful connection, such as a large list of objects which have the property of ‘being white’. To the Sumerian scribe who assembled this list, the characteristics of whiteness would have determined the worth of the list. The items were separated out from a (hypothetical) list of all known items, and collected together as a classification of items of the same property. These properties are in a sense subjective, but only because we do not know the function of white objects in the Sumerian model of the world.

Another notion of great importance in antiquity is the idea of ‘drawing near’ to a god. This might be represented by proximity to an altar or symbol of the god, or by the device of showing the supplicant being introduced to the god by a third party, whether another god or by a priest of the divine cult. There is however a technical idea behind this concept. The idea is that by being near, you already participate in the nature of the god, to a limited extent. The connection is open, even if transaction with the divine is not in operation. Drawing near can be achieved through a collocation of offerings, through benefactions to the priesthood and the temple, through other good works, the virtue of the individual, and so on.


Saturday, 17 February 2018

Reading Thomas Yaeger



Recently I removed a number of papers which were freely available on the website Academia.edu. I did this because the site has become less and less useful, as it transitions to something offering 'premium' services. I also took down the description and metadata for other papers, many of which are chapters in the books listed below.

I saved the descriptions of my first three books, however, and together with a description of the fourth (Man and the Divine) these form a concise overview of what I have written and published so far on historical and philosophical questions.

One thing I might suggest, is that J.G. Frazer and the Platonic Theory of Being  should be read before the other two (if you are considering reading all of them). The argument is fairly technical, but shouldn't be off-putting to someone interested in philosophy. Though it was first published as an eBook in 2016, it was in fact written in London in 1993, the year after I finished my studies at UCL. It illustrates a  great deal about how and why I came to be interested in writing about the significance of the idea of Being in antiquity.


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Commercially available books:

 The Sacred History of Being (2015) 

 The discipline of philosophy was not invented by the Greeks, but was in existence elsewhere, and as far back as the middle of the second millennium BCE. It has its origin in ancient divine cult. The detail of its presence can be traced in the civilizations around the ancient Near East, and particularly in Assyria and Babylonia. The Sacred History of Being collects the key evidence together, and examines the idea of the divine as a philosophical concept in Greece, Israel, and ancient Assyria. Published as an eBook by the Anshar Press,. Available from Barnes & Noble, Itunes, Kobo, Blio, Inktera, Smashwords, etc.

Published: Nov. 02, 2015. Available in ePub format. Words: 113,510. ISBN: 9781311760678
More information available at: https://shrineinthesea.blogspot.co.uk/p/the-sacred-history-of-being-as-its.html


 J.G. Frazer and the Platonic Theory of Being (2016)

 When he was only twenty-four years old, James Frazer won a Cambridge fellowship with an essay on the development of Plato's theory of the Forms or Ideas (eidos). In this essay he argued that there was no overarching theory of Being in Plato's mind before he embarked on the writing of his dialogues, and that consequently differences in approach and discussion apparent in his work are the result of the development of his thought. He also argued that the very idea of Being is a barren notion, in that nothing can be predicated of Being. As a result Plato made a mistake, effectively conflating an epistemology with an ontology. Though the essay was written in 1879, it was not published until 1930, after much of his later work was done. Frazer became famous for his monumental study The Golden Bough, which explored a vast range of ancient and primitive myth and ritual. Here too he found intellectual processes founded in error. What was Frazer's intention in re-interpreting Plato against what Plato himself said, and his wholesale restructuring of ancient thought by reducing much of it to a pattern of error? Over 23 thousand words, a preface, select bibliography, and extensive notes. Published by the Anshar Press. Available from Barnes & Noble, Itunes, Kobo, Blio, Inktera, Smashwords, etc.

Published: April 04, 2016. Available in ePub format. Words: 22,930 ISBN: 9781310105470
More information available at: http://shrineinthesea.blogspot.co.uk/p/j.html


 Understanding Ancient Thought (2017) 

 'Understanding Ancient Thought' is the third in a series of books which examines how we assess evidence from antiquity, and frame models to make sense of that evidence. The book consists of eighteen essays, which cover a number of subject areas which are in thrall to what Foucault described as an ‘episteme’. In other words, the way the subject areas are understood within the academy is in terms of what our cultural models, language and assumptions will allow us to understand. The actual evidence may suggest an alternative view, but it is not possible to see it, or to think it. At least until the paradigmatic frame shifts to another ‘episteme’ The main thrust of the book is that two hundred years of modern scholarship concerning the past has, for the most part, assembled a fictive and tendentious version of the ancient world. 51 thousand words. Published by the Anshar Press, August 20, 2017. Available via Smashwords, Itunes, Barnes and Noble, Blio, Kobo, etc.

Published: Aug. 20, 2017. Available in ePub format. Words: 51,070. ISBN: 9781370378012
More information available at: http://shrineinthesea.blogspot.co.uk/2017/06/nineteen-meditations.html


Man and the Divine (2018)

This is my second collection of essays on philosophy and ancient history. Like my first collection, Understanding Ancient Thought, it expands further on the arguments of The Sacred History of Being, which appeared in November 2015.  Man and the Divine was published on August 12, 2018. 

Many of the essays deal with the question of esoteric knowledge in antiquity, often from slightly different angles. ‘The Death of Socrates’ is one of those, a solicited response to one of a series of dramatized readings of famous speeches from history, staged by the Almeida Theatre in London in 2017. This reading was performed by Sir Derek Jacobi. ‘Distinguishing Belief and Faith’ began as a meditation on some text by Alan Watts, but which expanded into a chapter about who believed what, and why, in ancient Mesopotamia. ‘Polytheism, Monotheism, and the Cult of the Aten’, explores Akhenaten’s religious innovations in the Egypt of the 14th century B.C.E. 

Modern scholarship generally steers away from the idea that there may be an esoteric level to the nature of reality, but approaches questions surrounding esotericism in terms of a division between those who argue that there is such an esoteric level of reality, and those who maintain that just because they can think of such a thing and give it names and descriptions, does not mean that there is such a thing as genuine esoteric knowledge. The first group are sometimes described as ‘Essentialists’, and the second, as ‘Nominalists’. I first dealt with this question  (and related questions) in my book J.G. Frazer and the Platonic Theory of Being. Frazer simply denied the idea that it was possible to say anything meaningful at all about a transcendent reality (Being), and consequently argued that Plato’s work was built on a fundamental error, through the conversion of an epistemology into an ontology.

Some of the essays discuss something of the background to the writing of The Sacred History of Being. It was important to produce a concise and focussed argument, and many interesting discussions had to be put to one side in order to achieve that. The Sacred History of Being represents the core argument. What I have written elsewhere is best understood in terms of a sequence of extended footnotes to that book.

The final essay, ’Stone Circles, Phenomenology, and the Neolithic Mind’, is necessarily more speculative than the others, and deals with the British Neolithic and Early Bronze Age, when the building of megalithic structures was at its height. It makes comparisons with Greek and Mesopotamian notions of the importance of the sky in ancient religious thought. Published by the Anshar Press. Available from Barnes & Noble, Itunes, Kobo, Blio, Inktera, Smashwords, etc.

Approximately 57,000 words. Available in ePub format. ISBN 9780463665473.
More information available at: http://shrineinthesea.blogspot.com/p/man-and-divine-2018.html


The Origins of Transcendentalism in Ancient Religion (forthcoming, 2019)


Transcendentalism is present in a number of ancient religions, located to the west of India. 

It is assumed by scholars however, that there is very little in the way of transcendentalist thought associated with these ancient religions, and that the evidence we are looking at is mainly built out of concrete imagery, fanciful myth, poetry, irrational associations, all of which are in the service of religion and the state. In other words, religion serves a series of social and ideological functions, and it is to those functions that we should look for the explanation of the cultural remains, rather than the minds of the ancients themselves.

One of the arguments of this book is that we have been sold short by enlightenment presumptions and certainties, and that what we think we know and understand about ancient religion is so far from its real basis that, for the most part, it is nearly impossible for modern scholars to make intelligible sense of it. The cultural supremacy of ancient Greece in modern western thought depends on other civilisations not having an engagement with abstraction and the idea of Being before the middle of the 1st millennium B.C.E. 

This book is relatively short, not because the questions it addresses are simple, and have easy answers. It is short because I have written four other books before this one, and, to a significant extent, it references argument and discussion which can be found in those books. It was not possible to write a short and credible introduction to an understanding of the transcendentalism which can be found in ancient religions, without first covering an enormous amount of ground.

More details will follow in due course.  




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The short bio at Academia.edu:

I'm an independent researcher and a specialist in scholarly communications, who studied the Ancient Near East and the Neo-Assyrian Empire at University College London. I'm particularly interested in the History of Ideas in the context of the ancient world, and in the importance of religion and art in understanding ancient cultures.

 My four ebooks are commercially available from Itunes, Barnes & Noble, Kobo Books, Blio, Smashwords, Inktera, etc. They are also available to read (on request) in each of the legal deposit libraries in the UK and Ireland. The Sacred History of Being is mostly available free to libraries around the globe, depending on the distributor the libraries use. Libraries respond to requests from users: if copies are free, they have little reason not to acquire one.

My blog at http://shrineinthesea.blogspot.com contains essays related to my books, discussions with readers, book chapters and chapter extracts, an RSS feed, and other discussion on philosophical, archaeological and historical subjects. I'm active on Twitter.


TY, February 17 2018; updated September 02, 2018.

Friday, 16 February 2018

Pythagorean Triples and the Generation of Space




The traditional formulation of the theorem of Pythagoras is that the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the other two sides. This is the Greek formulation, but we know that some of the properties of Pythagorean triangles were known in earlier cultures, such as in Babylonia.

The triangles of most interest were those constructed using integral values, such as the 3,4,5 triangle. These values were commensurable, and not irrational.

If we consider this in terms of the construction of the version of the triangle constructed using the square values, we can see that it is not a geometrical figure in two dimensions at all, but a line, built out of the three squared values (9, 16, and 25), exactly 25 integral units in length, with the three sides subsumed into one dimension.

This understanding of the geometrical arrangement perhaps tells us something about the ancient perception of space, and why it exists.

There are several possible Pythagorean triangles which exist, all of which exhibit the same properties, but with different combinations of integral values.

There are 16 primitive Pythagorean triples with c ≤ 100:

(3, 4, 5)  (5, 12, 13)  (8, 15, 17)  (7, 24, 25)

(20, 21, 29)  (12, 35, 37)  (9, 40, 41)  (28, 45, 53)

(11, 60, 61)  (16, 63, 65)  (33, 56, 65)  (48, 55, 73)

(13, 84, 85)  (36, 77, 85) (39, 80, 89) (65, 72, 97)

Additionally these are the 29 primitive Pythagorean triples with 100 < c ≤ 300:


(20, 99, 101) (60, 91, 109) (15, 112, 113) (44, 117, 125)

(88, 105, 137) (17, 144, 145) (24, 143, 145) (51, 140, 149)

(85, 132, 157) (119, 120, 169) (52, 165, 173) (19, 180, 181)

(57, 176, 185) (104, 153, 185) (95, 168, 193) (28, 195, 197)

(84, 187, 205) (133, 156, 205) (21, 220, 221) (140, 171, 221)

(60, 221, 229) (105, 208, 233) (120, 209, 241) (32, 255, 257)

(23, 264, 265) (96, 247, 265) (69, 260, 269) (115, 252, 277)

(160, 231, 281)


All of these Pythagorean triples when squared, represent mathematical and geometrical constructions which do not exist in Euclidean space as geometries: they are lines existing in one dimension.

We tend to look at the phenomenon of Pythagorean triangles as just that: something which has practical usage, but no further implications for the nature of the world in which we live, or our understanding of it. This is not likely to have been the case in the ancient world, in which number was venerated as something belonging to the divine and knowledge of the divine. The triples meant something profound.

What might be the meaning of the existence of these triangles and their properties?

In antiquity, it was obvious to anyone interested in number, mathematics and geometry, that there were several aspects of the physical world that involved irrationality, long before it was possible to provide logical proof of such irrationality. One of these irrationalities was the relationship between the diameter and the circumference of the circle. We know that irrationality (understood as an absence of commensuration) was a major concern in antiquity, since the existence of it seemed to undermine the idea that the world was rational, and constructed by the divine on rational principles. In other words, the existence of irrational things served to undermine the idea that the world made sense, and that it was good.

What we understand as Pythagoreanism is actually a way of approaching the world and reality on the basis of number, mathematics and geometry. We have lost a grasp of this, particularly since the close of the ancient world. Pythagorean ideas are not the creation of Pythagoras in the sixth century B.C.E., but a range of ideas about the world, focussing particularly on numbers and geometry, and the puzzles which the study of these throws up (the Greek name for these puzzles is ‘aporia’). As such, these ideas and puzzles belong to any culture which chooses to address the divine in terms of how the universe is constructed. As already suggested, the Babylonians had a sense of this, though they were also interested in the practical applications. It is also the case that the inhabitants of Britain in the late Neolithic and the early Bronze Age had such a sense.

The engineer Alexander Thom surveyed many of the megalithic circles across Britain from the 1930s into the 1970s, and established that the circles were constructed on the basis of a number of different Pythagorean triangles, and that these circles were not in fact circular.  The circumferences of these circles were modified in order to make their lengths commensurate with the length of the sides of the underlying triangles.  These modifications testify to the contemporary idea in ancient times that the incommensurate nature of diameter and circumference shouldn’t be the case.

I’ve written elsewhere that Pythagoreanism, whether in the sixth century or long before, was a transcendentalist view of the world. Meaning that the world of physics and appearance in which we live, is not reality itself, but simply a presentation of it. And the presentation of it is, in a number of ways, crooked. So some aspects of physical reality are not rational. 

This does not mean that the ancient Pythagoreans were pitching themselves against the workings of the divine, but rather that they were trying to understand why what they saw, experienced and understood, was not rational. The answer was that their place of refuge was not reality itself, but a false representation of it.

In the physical world, they could therefore not expect rationality to be woven all through it. Thom identified the obsessive concern of the ancient Britons with whole numbers, and as a consequence (though this was not understood at the time he was studying the megaliths), we know that they were looking to a world beyond the puzzles and paradoxes, in which the relationships of one thing to another were rational in nature.

The theorem of Pythagoras, however it was articulated in the late Neolithic and the early Bronze Age, provided the answer to this. The relationship between the sides of a 3, 4, 5 triangle is irrational in nature, but by squaring the sides, the result is rational and commensurate. This would have been understood to point to a world which transcended space, in that it indicated a one-dimensional reality.

 In that world, some things which are incommensurate here,  were commensurate. Which they might have taken to indicate that, beyond that limited form of reality, there was another reality with no dimensions at all, in which all irrational values existed as commensurate with one another.

Plato echoed a range of Pythagorean ideas in his work, including that reality itself exists in no particular place, has no form or shape or colour. He also suggested that forms existed beyond geometrical figures existing in space, and that these were to be accessed in the mind alone.

The Pythagoreans may have understood physical reality to have been generated as the square root of mathematical values in a higher reality. The resulting incommensuration would necessarily generate space. We could not possibly live in a reality which embraced only one dimension, or even none at all. In which case physical reality might have been understood by the ancient Pythagoreans as a compromise of sorts, which made it possible for mankind to live.

Tuesday, 6 February 2018

Free access to 'The Sacred History of Being' in your Local Library




The Sacred History of Being is now available  free to libraries, and library distributors (as of February 6, 2018)

What this means is that libraries can make as many copies as they like available to library users.

For the past few months copies have been accessible free of charge in the six legal deposit libraries in Britain and Ireland (British Library, London, National Library of Scotland, Edinburgh, etc). These copies can only be accessed singly, and in the library reading room. This change means that copies of The Sacred History of Being will be available for loan from any library that wishes to hold the book. Anywhere.

If you want to access the book from a local library, you can request that they obtain a copy. When you make your request, you can point out that copies are available free of charge, with the exception of the library distributor Overdrive, which does not distribute books at zero cost (purchase from them will cost $1.99). If there is a demand for the book, there is very little reason for your local library not to get hold of a copy for you.



eBook loans are usually issued with some kind of DRM (Digital Rights Management) software attached to the book. What this means is that the copy you have borrowed will cease to function after the standard loan period, usually around two weeks, depending on where you are. But you can re-order the book from your library as many times as you like. And for free.

If you want a permanent copy of the book, without any DRM associated with it, the book is available commercially from the principal distributor Smashwords, or from Barnes & Noble, Itunes, Blio, and a host of other eBook suppliers, with the exception of Amazon. The cost is usually around $7.99, but the price varies a little from bookseller to bookseller.

The Sacred History of Being has been in the Smashwords bestseller lists for History and Philosophy a number of times in the past two years. The book is published by the Anshar Press. The main distributor is Smashwords. ISBN: 9781311760678

Chapter List for The Sacred History of Being


This is the full chapter list for the edition of The Sacred History of Being, published on November 2, 2015. There is also a set of Reviewer Notes, which provides details about the narrative of the book. 

Preface.


Part One.


A Sense of the Past.

How old is Philosophy?
The Arrival of the Idea of Being.
The West and the Other.
The Golem.
Change and what is Permanent.
The Ontological Argument.
The Ontological Argument in Anselm.
The Ontological Argument in Descartes.
The Nature of Reality in Berkeley.
Hume and Kant on Reality.
The End of the Ontological Argument.

Part Two.


The Sweet Song of Swans.

The Academy.
The Platonic Theory of Being.
Plato’s Theory of Vision.
The Paradox of Knowledge.
Eleven attributes of Being.
Pythagoras and Totality.
Solon in the court of Croesus.
The Complexion of the Dead.
Being in Homer.

Part Three.


Ocean and the Limit of Existence.

Creation.
The Fifty names of Marduk.
The Idea of Being in Israel.
Understanding Creation as a Sacred Tree.
Being, Kabbalah, and the Assyrian Sacred Tree.
The Making and the Renewal of the Gods.
The Ritual sequence and its purpose.
The Nineveh ritual.
The Babylonian ritual.
Finding the Name of the Sacred Tree.
Postscript.

Appendices.


Thomas Taylor on the Ineffable principle.

Oannes and the Instruction of Mankind.
Ashurbanipal on the exercise of Kingship.
Select Bibliography.
Abbreviations


Available Full Chapters



The first five chapters of the book, plus the preface, are available to read in full, by following the links below. A further chapter from part one, which discusses George Berkeley's understanding of the Nature of Reality, and two chapters from part three, 'Ocean and the Limit of Existence', and  'The Idea of Being in Israel', are also available to read in full. Plus one of the appendices, which discusses the Babylonian account of the first sages, and man's acquisition of knowledge. 

Preface

Part One

A sense of the past

How old is Philosophy?
The Arrival of the idea of Being
The West and the Other
The Golem
Change and what is permanent
Recurring Questions
The Ontological Argument
The Ontological Argument in Anselm
The Ontological Argument in Descartes
The Nature of Reality in Berkeley
Hume and Kant on Reality

....


Part Three


Ocean and the Limit of Existence

The Idea of Being in Israel

....

 Appendices

Oannes and the Instruction of Mankind

[Page updated, January 10, 2019]