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Thought Itself

The History of Philosophy, Logic & The Mind with Eric Gerlach

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Greek Philosophy

Aristotle’s Categories & The Order Of Carroll’s Wonderland

Aristotle argued in his Categories that there are ten sorts of things, substance, quantity, quality, relatives, place, time, position, state, action and passion.  In reverse order, this charts the order of events and characters in Lewis Carroll’s Wonderland.  I have often wondered if the Caterpillar and Cheshire Cat stand for inclusive and exclusive OR, but also as time and space.  Time includes many things together all at once, while space is exclusive, such that nothing can be exactly in the same space as anything else, much like the dueling perspectives the Cat mocks as oppositely insane.  Now I see that Carroll was working from inclusive passion, being acted-upon, to exclusive substance, things that are identical to themselves and nothing else.

In reverse order, Aristotle’s ten categories are passion, action, state, position, time, place, relatives, quality, quantity, and substance.

First, the White Rabbit is passion, who acts on Alice, moved by her passion without thinking into chasing after the rabbit.

Second, the mouse is action, after the banquet hall, where Alice can’t act but is moved by her tears, where Alice acts on the mouse who flees her passionate talk of her cat, acted-upon by Alice, but negatively, opposite the way the White Rabbit acted-upon her.

Third, there is the bird’s caucus race, which mocks politics, also known as the state.

Fourth, the White Rabbit mistakes Alice for his servant, and Alice takes on the servant’s position, ultimately finding herself in quite the imposition, filling the White Rabbit’s entire house.

Fifth, the Caterpillar is time, who takes away the certainty of all things, and includes all changes and possibilities as indeterminate.

Sixth, the Cheshire cat is space, who shows Alice conflicting positions, each exclusive and opposed to the other.

Seventh, the Duchess and baby are relatives or relations, and Alice moves from taking the position outside the pigeon defending the egg in her next, to the cat who watches the Duchess beat her baby, to Alice dropping the baby when it turns into a pig, as the cat thought it would.

Eighth, the Mad Tea Party is quality, with the Hatter and Hare insane, of bad mind, and the Hare insisting he used the best butter to fix the pocket watch, which is terrible.

Ninth, the Queen of Heart’s garden is quantity, with the two, five and seven cards forming an addition problem and the Queen threatening everyone with subtraction.

Tenth and finally, the King of Heart’s trial is substance, or lack thereof, just as the Tea Party lacked quality, with the tarts as a substance stolen and returned, the jury and king incapable of coming to substantive, proof-worthy judgements, and Alice declaring everything to be an empty pack of cards, devoid of substance and meaning.

Turtles All The Way Down & Around

Ludwig Wittgenstein (1889 – 1951) is my favorite of the latest, greatest philosophers, and I learned his work from Hans Sluga and Barry Stroud at Berkeley, who taught me that Wittgenstein’s later thought experiments can lead to much more than he or we have worked out about truth and meaning.  Wittgenstein’s thinking can answer many questions about thinking, not completely but more fruitfully, as Wittgenstein says, than other thinkers can.

The turn between Wittgenstein’s earlier and later thought is much like the Indian metaphor of turtles supporting the world and the question that arises from such an arrangement.  Locke, Hume, Russell and other European philosophers have brought up the Indian debate about what the world sits on such that it is stable and continues. Some say that it sits on a turtle, an animal that symbolizes the cosmos in India and China, as it is flat on the bottom like the earth, and round on the top like the sky.  Others ask what the turtle sits on if the world sits on it, and someone once said it’s turtles all the way down.  Some have called this an infinite regress, an endless series that vanishes over the horizon, Buddha called it an unsolvable problem, Plato called it the greatest difficulty for philosophy, and today some call it the foundationalism debate, arguing whether or not knowledge or certainty sit on anything known or certain.

Philosophy is the love and study of wisdom, truth, meaning and thought.  Thought interweaves several elements in our world. We sense, see, hear, touch, smell and taste things in our world.  We also feel, feeling good, bad, tense and calm about the things we sense.  We also remember, sense and feel things that are not in our world, but were.  We also reason, building what we remember from sense and feeling into thoughts.  In the middle of all this are words, things we hear and see from others that are interwoven with what we sense, feel, remember, and think.

Is sensing a thing without words, feelings or memories a thought?  Is looking at an apple thinking? Is looking at it and feeling a feeling thinking?  If I look at an apple and feel happy, is that a thought without words or images in mind?  Some say yes, and others say no. Once we have several things interwoven, including the words we use to mean things, many call that thought.  Some say thought is logical and rational, such that it follows rules, or follows rules when it is right and correct in judgement.  Others say that this is the turtle problem yet again.

If things need thoughts to make sense of them, and if thoughts need thoughts, such as rules, or plans to make sense of them, is there thought that makes logical, self-aware, rational sense of thought itself?  Are there words that make sense out of how we use words to mean things and know things?  Some say yes, and it terminates in the rules and forms of logic, and others say no, and we simply continue to gather and divide things without an underlying logic that brings all of our wants and plans into common, coherent systems, visions or words.  As Zhuangzi the Daoist asks, What do our ways or words rely on such that our words mean things?

What do turtles sit on?  Some say other turtles. The Buddha in India and Wittgenstein in Britain answered the question with similar, simple metaphors that show us more than any system or logic in images or words can completely in itself.  Thought and our world are interwoven, such that it isn’t turtles all the way down, but turtles all the way around.  Much as Nicholas of Cusa and Hegel said about a circle, it is an infinite regress, but it is also complete in itself, and continues right in front of us.  It isn’t that truth or rules rely or rest on any specific thing, but rather situations of sense, feeling, memory, reason and words mean things all together.

Situations shift, and these shifts show us how things mean things to us better than any specific words can.  As Wittgenstein said, there is what can be said, but what can be said is only a part of what can be shown, which is best done not with complete, enclosed systems of words or images but by leading people through many open-ended situations of mind, stagings of thought, what Wittgenstein called thought experiments that involve many and any elements.

Much as Alice is frustrated with her sister’s text without pictures in the opening of Wonderland, words and rules without many interrelated examples of rich situations and the infinite variety found in them confuse us and lead us into considering words outside of actual, useful meaning.  Carroll wrestled with Boole’s algebra much as Wittgenstein wrestled with Frege’s logic, and both came to the conclusion that words and systems can trap us like a fly in a bottle.

As Zhuangzi said, once we have the rabbit, we can forget the trap, and then we can involve the trap or not as we like, such that we can have words with others who have forgotten words, remembering and forgetting words and understandings freely as we please rather than sitting on particular words or systems as final, fixed foundations.  Wittgenstein enjoyed reading Alice’s adventures to two sisters in Wales where he worked on his final thoughts, and he likely heard and felt Carroll’s deeper meaning, that it is good to use thought, rules and logic to show others how open-ended thought can be, beyond anyone’s particular logic, words, thought or feelings.

Buddha called the interweaving of everything codependent-arising, life as a tangle of many forms of life, as we see in Klimt’s painting Death and Life, which he began in Vienna 1908 and finished in 1915, the time Wittgenstein left Vienna to study logic, mathematics and philosophy with Russell at Cambridge.  Klimt was not only one of the most influential painters of Wittgenstein’s Vienna, he painted a portrait of Wittgenstein’s sister, who was also psycho-analyzed by Sigmund Freud.  As we might suspect, Wittgenstein’s family had some pull in Vienna, which in Klimt’s day was the city with the latest, greatest culture, replaced in the 1920s by Paris, the 40s by New York and the 60s by San Francisco.  Wittgenstein said that life and thought are like an old city, with many forms of life inter-tangled for centuries.

Much as Buddha taught there is no essence or nature that completely defines or causes a thing because it arises out of the relationships it shares with other things outside of itself, Wittgenstein argued that life is like a thread without a single strand running through the entire length, and so we should always beware of the lure of the secret cellar, the proud idea that we have hit bedrock and completely revealed the truth rather than revealed yet another strong connection between different interwoven things.  The cure for this proud ignorance, what Heraclitus called the human disease, is a rich variety of interwoven examples and elements that continue to show us more and more about the greater whole, endlessly.

Alice, Aristotle’s Syllogisms & Boole’s AND, OR & NOT

I have been working on Lewis Carroll’s Alice in Wonderland and Through the Looking Glass for many years now to find the logical and philosophical forms hiding inside it, and as I have been teaching logic this semester I have used the class as an excuse to go over Aristotle, Boole and Carroll’s work carefully.  In the process, I have found many Aristotelian and Boolean forms that are structural to both works that I have never seen before.

Aristotle’s four “perfect” syllogisms and Boole’s inclusive and exclusive operations of AND, OR and NOT, gathering and dividing as John Stuart Mill would say, form the positions and plot of both Alice books.  Carroll was studying the logic of Aristotle, Mill and Boole as he wrote both of Alice’s adventures, visually presenting logic as characters, but also as emotions, as inclusive and exclusive feelings that operate in our thoughts and our world together.  Carroll was trying to show us that syllogisms and logical operations are series of emotions, of feelings that gather and divide things in sequences as the underlying structure of thought with the underlying structure of his stories about Alice.

In the first book of Wonderland, Alice works her way from an inclusive AND, the White Rabbit, past the inclusive OR of the caterpillar, the exclusive OR of the Cheshire Cat, to the NOT of the Queen of Hearts, who chops off heads.  The various symbols for NOT Boole and other logicians use look a bit like an ax next to a capital letter, a symbol for a group much like a regal head who stands for the common people. Alice says it is all a pack of cards, meaningless manipulation of symbols and pieces regardless of meaning, and disrupts her imaginary dream.

The White Rabbit is like an addition problem, an AND, Alice and her older sister, inclusive of different elements, the two sisters, and exclusive, specialized and late to a specific event at a precise time.  This makes the White Rabbit an absurdly rational animal, as Aristotle would say, both man and beast.  Alice, bored with her sister reading to herself, charges after the White Rabbit down the rabbit hole, with no thought as to how she would get out again, like a wildly inclusive child, mirroring the absurdly inclusive combination of a rabbit with a waistcoat, and unlike her sister, who is carefully considering a specialized text.  Alice dreams she follows the absurdly complex White Rabbit as she can’t follow her sister in reading a boring specialized text that gathers a very narrow sort of element. A child needs emotions, pictures, words and many things to stay interested in a story.

In the second book of the Looking Glass, Alice works her way from the Red Queen, another NOT like the red Queen of Hearts, past the White Queen, a childlike inclusive AND, timid like the White Rabbit, to the end of the board where Alice is the OR, who must inclusively and exclusively choose between inclusive AND, the White Queen on her right, and exclusive NOT, the Red Queen on her left.  The Queens test Alice and find she can’t inclusively add or exclusively subtract things the ways they ask her to, they take her to a banquet where food turns into people and people into food, and Alice hates it and turns the table over, upsetting her second dream. Wonderland works from childlike AND past OR to adult NOT, from inclusion to exclusion, and the Looking Glass works from adult NOT past childlike AND to bring the childlike-adult balance of OR, both inclusive and exclusive.

The four royal pieces of the Looking Glass world, the Red Queen, Red King, White Queen and White King, are the four corners of Aristotle’s Square of Opposition, a visual presentation of logic popular in Europe for centuries.  The White Queen, inclusively open like a child, is the universal positive (All, All, All), the Red Queen is the universal negative (All, None, None), the White King is the particular positive (Some, All, Some) and the Red King is the particular negative (Some, None, Some-Not).  In the end, Alice sits as an inclusive-exclusive OR between All and None, as the one who must decide for herself, with her powers of logic and reason, some and some not like an adult between the extremes, as Aristotle advises us in ethics.  There are countless examples of syllogistic reasoning in both texts, but here are central examples that show each royal chess piece as an Aristotelean corner.

BARBARA, the Positive Universal Syllogism:  If All A is B, and All B is C, then All A is C.  If all things are possible to think if you Shut your eyes and try very hard, as the White Queen suggests to Alice, and if all impossible things are things indeed, even if they, unicorns and we are all quite mental, then Alice can think six or more impossible things before breakfast if she shuts her eyes, imagines, and tries very hard, as the White Queen implies but doesn’t say directly, meaning what she doesn’t say syllogistically.  In Venn diagram form, if A is entirely B, and B is similarly C, then A must also be C.

CELARENT, the Negative Universal Syllogism: If All A is B, and No B is C, then No A is C.  If All ways are mine, as the Red Queen says, and None of what’s mine is yours, as the Duchess moralizes, then none of these ways are yours, is what the Red Queen means but doesn’t say, which we understand and infer quite syllogistically from what is given in her words.  As a Venn diagram, if A is entirely B, and no B is C, then no A can be C.

DARII, the Positive Particular Syllogism:  If Some A is B, and All B is C, then Some A is C.  If the White King says he sent almost all his horses along with his men, but not two of them who are needed in the game later, and if Alice has met all the thousands that were sent, 4,207 precisely who pass Alice on her way, then Alice has met some but not all of the horses, namely the Red and White Knights who stand between Alice and the final square where she becomes a queen.  As a Venn diagram, if some A is B and all B is C then some A must be C.

FERIO, the Negative Particular Syllogism: If Some A is B, and No B is C, then Some A is not C.  If all things are dreams, as Tweedle Dum and Tweedle Dee tell Alice, and some dreams are untrue or not ours alone, then all things are somewhat untrue, and somewhat aren’t ours alone, which is what Tweedle Dum, Dee and the Red King dreaming silently imply, but don’t say.  As a Venn diagram, if some A is B and no B is C then some of A is C. As Aristotle says, if we have only some and no all or none, we can’t draw syllogistic judgements completely, leaving us with only a relative, somewhat satisfying conclusion, just as the Red King silently dreams and says nothing to Alice after she happily dances around hand in hand with both twin brothers.

If you are interested in more, please read my lecture on Logic, Lewis Carroll and Alice’s Adventures, which is very much under development and in progress at the moment, as can hopefully be understood.  It may turn out that all negativity is merely a playful, innocent kitten after all.

Leibniz & The Principle Of Non-Contradiction

Gottfried Wilhelm Leibniz (1646 – 1716 CE) was a German philosopher and mathematician who invented calculus around the same time as Isaac Newton.  Newton tried to confusingly name everything after himself, with many types of newtons, so science kept one kind, the newton as unit of force, and used Leibniz less self-serving system of notation for the rest of Calculus and physics instead.  Leibniz’s first job was alchemist’s assistant, and then he became a lawyer’s assistant, perhaps with more worldly success.  Leibniz published little during his lifetime, and to this day no definitive collection exists of his various and disparate writings.  His most famous writings are his Monadology and his Discourse on Metaphysics.

Leibniz invented the binary system still used by computers today, which may or may not give way to something else like quantum computers in the future, which do not rely on two separate values such as 1 and 0.  Leibniz was a sinophile, who loved Chinese culture, studied Chinese thought that was available to him, and invented his binary system inspired by the Yi Jing (I Ching), the ancient Chinese binary divination system that represents all possible situations with solid and broken lines just as Leibniz’s binary system represents all numbers with ones and zeros.  Leibniz was communicating with Christian missionaries in China, and he, like some of the missionaries, believed that Europeans could learn much from Confucianism that was in line with Christianity.  An admirer of the Chinese abacus, Leibniz was one of the most important innovators of the mechanical calculator, an early computer which employed his binary system.

Like Descartes and Spinoza, Leibniz believed that God created the world as a rational, mechanical apparatus.  Because of this, Leibniz famously argued that this is the best of all possible worlds.  As God is omniscient, God was aware of all possible worlds before creation, and chose this to be the created world, so it must therefore be the best.  Of course, many who ponder the problem of evil, the theological problem debated for centuries about how suffering in a rational world is possible, would question this assertion.  Leibniz came up with a pure deductive understanding of the world, which was quite unlike how we experience it.  The infinite, the eternal, is for the mathematician Leibniz an infinite series of distinct points, the elementary particles of the universe, eternal and indivisible, like the atoms (“without cut”) of the ancient Indian and Greek atomists.  This infinite plurality is entirely made of mind, and each is its entire universe, what Leibniz calls a pre-established harmony.

Leibniz is a strange, outlying philosopher, one I mention but don’t cover extensively for Modern European Philosophy, but he is very important to the history of logic, not only because he helped invent the binary computer, which is where many modern logics live, but he is also one of the first to articulate something Aristotle argues for but doesn’t draw into an explicit principle, what some logicians still call the Law of Non-Contradiction, but most others refer to as the Principle of Non-Contradiction, as it is more understood by secular scholars today as something psychological, but was, for Aristotle, Avicenna, Aquinas and others a law of the universe, one that Nagarjuna of India, Heraclitus of Greece and Hui Shi of China would certainly deny.

The Principle of Non-Contradiction, or PNC for short, can be stated as: If a statement is true, then its negation is false, and if a statement is false, then its negation is true.  For example, if the statement Leibniz is a logician is true, then the statement Leibniz is not a logician is false, and vice-versa.  Kant and Russell, advocates of logic and the Principle of Non-Contradiction, studied the work of Leibniz intensely, advocating this principle.  Russell, who founded Logical Positivism, the basis of Analytic Philosophy, the dominant school of philosophy in the Anglophonic world, argued that we can base all logic, mathematics and certain, objective science on the single truth of the Principle of Non-Contradiction.  In formal logic, Graham Priest at CUNY is one of the most famous critics of the principle, arguing, like Hui Shi and Heraclitus, that at least some contradictions are possible, such that Leibniz could be a logician but also not in different ways for different purposes which are both valid.

What is a contradiction?  It is an argument, between sides, in its most visible and audible form.  We can contradict ourselves, and argue with ourselves, which isn’t the same thing, but similar.  A simple contradiction in speech, between two sides, whether or not there are one or two people, or more, is I turned the lights off and No, you didn’t, which is a difference of opinion.  If we assume there isn’t a relative dimmer switch, and the lights could go more on or more off, then one side is right and the other side is wrong.  Switches are designed as bifurcating devices, as a serious dilemma that could go one way or the other, like the contradiction over the switch. Checking to see if the lights are on or off can resolve the dilemma, debate and contradiction, unless there is a twist, and it turns out, given further evidence and experience, that the switch doesn’t work, or the lights were turned off by someone else later, or its the wrong switch, or the wrong set of lights that should never be turned off, unlike all the others.  Even given the simple, bifurcating device of the switch there is a complex human situation that can easily involve contradiction between differently interested parties.

If this is what a contradiction is, then what is the principle of non-contradiction saying?  That people can’t get into debates? Aristotle, like Kant long after him, and like Russell long after Kant, argued that not all questions can be solved correctly, but some can, and it is the task of the human mind to use reason to solve what can be solved completely.  As for favorite flavor of ice-cream, there are some flavors that would turn heads in many cultures, but it is a matter of subjective taste and opinion. However, insofar as math and logic are supposed to ideally work, in these matters and questions there are true, objective and singular answers that are not relatively true, but absolutely true, much as many would say that two and three together making five is universally, objectively, absolutely and even ideally true, beyond practices or culture.

The principle of non-contradiction applies to these truths, such that if someone contradicts what is absolutely true, they are necessarily wrong.  If two and three make five, in all possible ways, then anyone who says two and three make four or six is simply and completely wrong, regardless of their upbringing, practices, cultures, or success, as it is not about what pragmatically works, but what is positively true.  Much as Kant argues about morality, it isn’t what keeps the ship sailing, but what is true that we should believe, even if it means disaster and we all go down with the ship, because right is what is overall important, not results.  This is the major issue we will talk through again in many ways between positivism and pragmatism.

Aristotle, Farabi, Avicenna, Aquinas, Leibniz, Kant and Russell are some of the central thinkers who made the principle of non-contradiction what it is today.  Aristotle said that skeptics like Heraclitus are no better than plants, understanding nothing. Avicenna said those who say fire and beatings are and are not good, only relative evils, should be burned and beaten until they stop saying such things, which is hopefully a joke at the expense of skeptics like al-Ghazali, the Sufi mystic, who criticized Avicenna and was criticized by Averroes.  Russell argues that Mill, Dewey and all other instrumentalists, utilitarians and pragmatists, who argue truth is not ideal but relative cannot say anything with certainty, and have to investigate all possibilities continuously to absurdity, such as wondering if we truly did have coffee with breakfast.

I suggest Wittgenstein was right, as a pragmatic person myself, when he said the trick is to see we can stop and start doing philosophy when we want to, as we may never hit bedrock and have the final understandings or answers to anything.  Like Priest, Wittgenstein wrote that contradictions need not be false. Logic which excludes all contradictions as nonsense is only a small part of the ways we use language. Lewis Carroll certainly thought so. Aristotelian logic is not the genuine basis of all reasoning any more than trigonometry is the genuine basis of all geometry. (LWPP1 525)  The logic of language is more complicated than it looks. (LWPP2 44)

Wittgenstein wrote that some believe in the excluded middle, that a statement cannot be both true and false, but it is rather that true and false divide the field of possibilities, but not always into exclusive parts.  Wittgenstein gives the sad example, “Have you stopped beating your wife?” which is not simply a yes or no question, as if someone has never beaten their wife, it is true in one sense, as I am not currently engaging in domestic violence, and false in another, as saying yes implies that I used to, in a way that resembles subalternation. (RPP1 274)  The comedian Mitch Hedberg joked, I used to do a lot of drugs… I still do, but I used to, also.  Wittgenstein said contradictions are not catastrophes to be feared and avoided, but problems that require engagement with contrary judgements. (Z 685-9)  This is likely why Wittgenstein had a deep appreciation of the nonsensical problems found in the arguments of Wonderland.

I I tell you A is true and false, am I telling you nothing, or am I telling you a great deal?  If I say nothing I say nothing, even if the silence implies something significant, but if I say something contradictory, that Steve is good and Steve is not good, that the girl with the curl in the middle of her forehead is sometimes very, very good, but when she’s bad she’s horrid, I’m saying at least two things, if not implying more.  An argument tells us a lot about both sides, and often shows us things both sides can’t fully see about each other. Humor and nonsense are directly contradictory, just as fantasy contradicts reality by degree, and they teach us much about us.

Leibniz has two other principles which are important in the history of formal logic, and which Kant and Russell both support.  The second is the Principle of Identity of Indiscernibles: If two things are without any discernible difference, then they must be not two things, but identical, the same single thing.  Of course, if two things are in different locations or exist at different times, this is a discernible difference, one that would shoot any instance of the principle down.  Many illustrate this today with the example of two types of minerals labeled equally as jade in ancient China, before humanity had the technology to tell the difference.

The third is the Principle of Sufficient Reason: If something exists, there must be a reason why it exists the way it does.  Leibniz believes that the world was teleologically created by God, who controls all in this best and most rational of all possible worlds, and so he assumes that each thing can be rationally explained because each thing was rationally created by an intellect superior but similar to our own.  Many secular modern people hold this principle, but without teleology it is difficult to argue that humanity can come up with intelligible reasons that explain apples entirely, or anything else. Are there sufficient reasons apples exist and behave as they do?  What is sufficient enough for this?  Is it to our satisfaction, or are there objective reasons, in number, that exist independently?

There is one last principle that should be mentioned and strangely isn’t as much, the Principle of Bivalence: A statement must be true or false, not neither true nor false.  This is somewhat the inverse of the Principle of Non-Contradiction, that a statement must not be both true and false together, which is the third of Nagarjuna’s four things, and the Principle of Bivalence is the fourth.  Leibniz, Kant, Russell and others are focused on non-contradiction, not bivalence. This could be because Aristotle himself wanders in his answer whether neither good nor bad is both or neither, and concludes it is more-so, relatively speaking, neither, which means Aristotle allows for Nagarjuna’s fourth but not third thing.  It seems those who argue for non-contradiction think both sides can’t be right, but both sides could be wrong, as if correct is exclusive, but incorrect is inclusive, regardless of how much we all have common sense.

Logic & The Golden Age Of Islamic Philosophy

The Golden Age of Islam & World History

The Islamic Golden Age, from 800 to 1200 CE, the time of the three great Islamic philosopher-logicians, al-Farabi, Avicenna, and Averroes, was one of the most important periods of human history, like the Tang Dynasty of China (618 – 907) just before it and the Italian Renaissance (1400 – 1600) just after it.  Sumerian, Babylonian, Syrian, Persian, Indian, Greek, Roman and Chinese culture was gathered and developed in Islamic lands, first Arabia, soon after Persia, and then a vast empire that stretched from Spain to China, the largest in history.

When we study the history of thought, it is wise to remember that we have not been doing history for very long.  Writing is only several thousand years old, the type-based printing press, one of the most important devices Muslims passed from China to Europe, is only a thousand years old, and popular literacy has been very rare until recently in the wealthiest parts of our shared world.

Muslims have a great appreciation for the golden age of Islam, but we who are American or European do not.  I myself didn’t until I was in graduate school, studying the history of philosophy and religion. Unfortunately, if we are not aware of what Islam gave the world, we do not understand European or modern history much, because what ancient India, Greece and China gave our modern world passed through Islamic hands across their vast caliphates and then through caravans reached beyond.

Without paper, press, compass, gunpowder, algebra, calculated insurance rates and countless other devices and ideas, the Italian Renaissance, European colonialism and our modern post-colonial would not have happened as it did.  The Western Europeans, a.k.a. the West, my Celtic and Germanic ancestors, did not have wealthy cities in the time of ancient Athens, but like the Arabs, ignored as barbarians until their age by the powers that bordered them, they conquered many who considered themselves civilization itself. 

Christian Europeans have, for centuries after getting Greek texts from Muslims, focused on connections between ancient Greece and Western Europe, ignoring connections between ancient Babylon, Egypt, Persia and Greece, and connections between India, China, Islam and Europe, which is a very partial and narrow view of our common world history.  When we do study Islam, Europeans, such as myself, focus on Plato, Aristotle and their impact on Islamic thought, the impact of this on Christian European Neo-Platonists, or Islam in the modern world after 1700, the time when Europeans had the upper hand in money and power, which was not so before the 1600s, the time that Newton used algebra to deduce cosmic laws of physics.  

Philosophy departments rarely offer courses on Islamic philosophy or logic, and few departments of any subject study Islamic literature, philosophy, or science.  In a recent book (2005) on al-Farabi, one of the most important Aristotelian logicians for later European logic, the author begins by stating we have many, many excellent studies of the ancient Greeks, and medieval Europeans, but “our” (European) understanding of Farabi and the history of Islamic logic is “in its infancy.”  Meanwhile, Farabi’s face is on the Khazakstani dollar.  As with Indian and Chinese thought, Islamic thought is covered, if at all, as Religious Studies, not as philosophy or the history of science.

I enjoy teaching Indian, Greek and Chinese comparative philosophy, and if you study these subjects, you will eventually find that understanding Islamic philosophy is very helpful, but quite hard to do, because there has been a greater appreciation of Indian and Chinese culture and thought in European scholarship and counter-cultural movements that involve the Bay Area, San Francisco and Berkeley.  Some have said this could be an example of the grandfather effect: If everyone in the family gives heck to the next one over, then the grandfather gives heck to the father, the father gives heck to the son, and so the grandfather and son share a bond, giving and getting heck from the father, the middleman, and they can go out for ice-cream.

Islam fought Europe, India and China, taking land, captives and converts.  This is why it is easier for we, and other scholars of East and South Asia, to avoid and ignore the positive side of Islam.  I have some excellent Ahadith, sayings of the prophet Mohammed, the second source of Islam after the Koran, much like the Jewish Talmud, which give a more positive view of Islam as a source of multiculturalism, science and logic: – Go in quest of knowledge, even unto China. – It is better to teach knowledge one hour in the night than to pray straight through it. – A moment’s reflection is better than 60 years devotion. – The ink of the scholar is holier than the blood of the martyrs.

Many times after quoting these lines, first to professors and fellow graduate students, and then to my own students, I have been asked how Muslims can say such things and also be so authoritarian and traditional in ways.  Humanity is always capable, and in each civilization openly displays, both intelligence and ignorance, both innovation and brutality. We should use the best and the worst of Islamic civilization to better understand the best and the worst of our own.  Americans are seen by many Europeans in the same light, as sex-repressed, illogical, violent people who threaten logic, decency and civilization with pride, wealth, and power.

Consider that 1492 was not simply the year Columbus sailed the ocean blue, for India, to get around the Muslims between India, him and Spain, but the year that Spain was reconquered from Muslims by Christians, and then Portugal soon after, as well as the first year of the Spanish Inquisition, and then the Portuguese Inquisition, the infamous persecutions of Jews and others deemed heretical by the Church.  Jews and Christians who were not Catholic such as Nestorians fled to Islamic lands from Catholic persecutions. Jews went from thriving and contributing much scholarship in Islamic Spain to outright persecution and secrecy underground in a year’s time. Maimonides (1135 – 1204 CE), the famous Jewish philosopher who thankfully lived long before all of this in Cordoba, Spain, and said he read Aristotle but could not understand him at all, until he read Farabi, which solved everything to perfection.

Few European Christians are aware of the reverence that Muslims hold for Jesus, who is mentioned in the Quran more than anyone, the greatest prophet before Mohammed, and Mohammed isn’t mentioned much, as he’s the one hearing it from God.  According to Islam, Jesus did not claim to be the solitary son of God, but rather taught that all are equally daughters and sons of God, and Muslims study the Torah and New Testaments and finding this in the words of Jesus himself.  For Muslims, Jesus is the patron saint of scholars and wisdom, similar to Confucius in China, who also centers his philosophy on compassion, and Jesus sounds much like Confucius in many of the sayings attributed to him by Muslims.

The worst man is the scholar who is in error, since many people will err due to him.

The one who has learned and taught is great in the kingdom of heaven.

When asked how he could perform miracles such as walking on water, he asked in return, “Are stone, mud and gold all equal in your sight?”

When asked, “Teacher, who are the people of my race?”, Jesus said, “All the children of Adam, and that which you would not have done to yourself, do not do to others”.

When asked “Who was your teacher?”, Jesus replied, “No one taught me.  I saw the ugliness of ignorance and avoided it.”

Abacus, Algebra & Abstraction

When we touch a table or look at a wall, what part of the experience is objective, and which part is subjective?  Is the solidity or surface itself simply objective, and is it something different than the subjective experience and feeling we get interacting with it?  It is difficult to say what is the form of the object itself and what is formed by the mind of the subject, a problem that has plagued philosophy all over the world at least since words were written down.

One of the most confusing things about what we call objectivity and subjectivity, which are words with several syllables that no one can simply point to or explain very well, even when they do try, is the modern contradiction of many saying logic and mathematics are symbolic abstractions, images on paper or thoughts in the mind, but also that they are the underlying objective truth, not intangibly abstract, but the reality of the real itself.  We have believed in invisible spirits, gods, and laws ruling things, as their very essence, and Greek, Islamic and European logicians often speak these ways about logic and truth.

Between the ancient Greeks, such as Aristotle, who thought the gods, our superiors, are rational, but also physical, like Aristotle’s unmoved mover, and modern Europeans, such as Descartes, who thought the soul, our innermost self, is immaterial, but superior to the lowly physical body, like the gods, with no French Christian in Descartes’ time daring to say God was a physical being for fear of being tortured as a heretic, there were Muslims, like Farabi and Avicenna, who argue thought, much like we imagine math, is ideal, and mental, thus not physical, like a fire in the head of the ancient world.

Muslims thus stand as a bridge between ancient polytheism, monotheism, and modern abstractions found in philosophy, science, mathematics, and logic. Islamic society developed new practices of imagination and abstraction, representing things as symbols, images, pictures and words, such as number symbols and psychological terms, and this fits the mental becoming more like an image, as something higher and meaningful, but strangely as immaterial and unreal, superior but invisible, graspable but beyond at the same time.

A base 10 system of symbols that represents reality is an easy number for us because we often have it in front of us as fingers, which often serve as a counting device, with five and five making ten together, a simple addition problem.  Once we have number words we can count our fingers, as we can use our fingers to point at other things and count them. Counting boards of ancient Egypt, Greece and Rome and abacuses of China also group things by tens and tens of tens to count larger groups of things with a decimal, ten-based system.  The Babylonians had a six-based system we still use to tell time, with 60 minutes to an hour, and there are basic sixes in the five fingers and hand, with six including the palm for counting, as well as the head, torso, arms and legs as six. There are some tribes that count to twenty quickly using their knees, hands, feet and other parts to stand for particular numbers.

Beyond four or five, we lose count of things, like Danzig says of crows.  On the one hand, we could say four or five good things about things, but on the other hand, we could say four or five bad things about the same things.  Cultures share the words more and less before they share words for particular numbers, and then they often do not have words beyond ten or twelve, just as we say twelve but then thirteen, which is clearly three-ten in a way twelve isn’t two-ten.  Beyond twelve, two sixes, countable on both hands.  The word calculate is based on the Latin calculus, which means pebble, like a pebble on a counting board.  To calculate, particularly before algebra replaced previous practices like counting boards and abacuses with written symbols that we can work mechanistically, as a form of language that functions like a piece of counting and calculating technology.

The Egyptians had a base 10 system, but they sometimes wrote numbers in various orders, as two ones, one ten, and three hundreds to mean three hundred and twelve, but order doesn’t matter, so 1, 1, 10, 100, 100, 100 is one way of writing it, but you could also write 1, 10, 100, 1, 100, 100 or 100, 1, 100, 10, 100, 1, as with a small number of numbers, less than five, we can count the numbers and add them together all the same.  The Roman method is actually a 5 based system, as there are 5s (V), and other 5 based numbers as basic structures such that placing a one to the left or right of the five, unlike with the Egyptian method, matters.

The Indian numerals, which Islamic scholars used as the basis for algebra, is even better than the Roman improvement on the Egyptian numerals, as it has an order more like the Romans, but is a simple decimal system like the Egyptians, without fives or counting backwards or forwards from them.  The Roman numeral system actually has seven symbols, I, V, X, L, C, D and M, for 1, 5, 10, 50, 100, 500 and 1,000, but the Indian numeral system has ten symbols, and uses all ten to count from one to ten, unlike the Roman numerals, which make us count up or back as it uses three symbols, I (one), V (five) and X (ten) to count from one to ten.  This means Roman numbers are often much longer, like the strange long dates in Roman numerals on movies only some can read, using twelve symbols to say 1981, what Indian numerals can say in four, but if we want algebra to handle long division, taking steps to determine which number between one and ten several symbols are each time is preventatively difficult.

Before Islamic algebra, much of the world used the Egyptian doubling method (including ancient Greece and Rome) to do division.  Unfortunately, this method could not keep track of remainders and could not take account of series and other functions critical to the growth of math, trade and mechanical technology.  Islamic mathematicians and logicians took the Indian base 10 system, along with the Indian numerals that became our Indian-Arabic numerals we use today, and began doing math in the form of equations.  Algebra allowed trade caravans to keep greater accounts of goods, as well as sophisticated forms of insurance and banking. Islamic merchants traded by caravan all the way up through Russia and Scandinavia, as coins discovered attest.

European Castles are modeled on Islamic questles, the Persian word for fort, far more than they are on Roman palisades, forts surrounded by log fences.  Medieval dress and decoration are not modeled on Roman togas, but rather Persian and Turkish fashions. Consider hospitals with many beds, doses measured with algebra, and mechanical innovations that use gears, pistons and clocks were all passed from Islamic to European hands before Europe became wealthy and powerful.  Europe owes very much to Islamic mechanics and mathematics.

Central to logic, it was with Islamic mathematics, logic and science that equations became the language and device that structures our modern shared world.  The ancient Greeks such as Euclid and Aristotle talked out problems in long spoken form. Today, many scholars use algebraic logic to explain ancient Greek ideas, but it can be quite anachronistic and misleading to do this without acknowledging Islamic contributions.  For instance, the syllogisms of Aristotle seem much clearer and cleaner when presented in variables and equations of first India and then Islamic algebra. While Aristotle reasoned that if Socrates is a man, and all men are mortal, then Socrates is mortal, we today, using variables, can say that if all As are Bs, and all Bs are Cs, then all As are Cs, speaking about any groups or individuals.

One of the sources of algebraic science was code-breaking or cryptography (also cryptanalysis).  Between questles, codes had to be sent and algebra was used to make and break these codes. As nature was studied with mathematics, the philosophers and scientists discovered that algebra is an amazing tool for code-breaking nature.  What we call “science” is still very much the mathematical decoding of nature today. Consider the constant of gravity as a hidden code or message to be discovered and phrased in algebraic language. As Islamic scientists began using algebra to crack the codes of nature, they believed that they were finding the numbers that were the thoughts and speech of God.  Islamic art, which makes much use of geometric patterns, reflects this too. Isaac Newton, like many Muslim scientists, believed that mathematics is the language of nature, laws pronounced in mathematics by God over nature which cannot be contradicted.

Algebraic equations allowed for Wittgenstein’s later truth table logic and other forms that we study as Logic today.  However, equations present us with a new problem that was recognized by the central philosophers of the golden age of Islamic civilization: Is the world truly structured by equations, or are they a model in the human mind?  

Consider the infamous proof that one equals two.  Say that we start with two variables, a and b, and that they are equal.  If we multiply both sides by b, then subtract a squared, then factor out (b – a), we are left with (a = b + a), which is the same thing as saying a is equal to twice itself, which is the same thing as saying that one is equal to two.  How did we come to such a ridiculous conclusion?

This is one example where the mechanics of algebraic mathematics breaks down, and we have to add additional components, such as the rule that we cannot divide by zero.  When we factor out (b – a) and then eliminate it, it is easy to forget that if b and a are equal, we are dividing by zero, and should be left with infinity equal to twice itself, not a equal to twice itself.  The rule has to be added to the system much as a safety device has to be added to a machine to prevent it from breaking down in particular circumstances, like a safety valve that releases steam when it builds up to critical levels.  This is good evidence that mathematics is a human cultural practice, not an ideal self-existent structure.

Al-Ma’mun & Al-Kindi

In 529 CE, the Roman emperor Justinian closed Plato’s Academy, which sent several prominent members to the Royal Court of Persia, what is today Iran.  Greek works were translated into Syrian, and then with Islam a century later, Arabic. This is the time when Pseudo-Dionysius, a.k.a. Fake Dennis, wrote his Neo-Platonic skeptical mysticism and angelology in Syrian, a major source of Christian Platonism and philosophy, and this and other Platonic and Aristotelian works were increasingly brought to Baghdad, the seat of the Abbasid dynasty.  Fake Dennis, Dionysius, is “fake” because the original Dionysius was the first Christian bishop of Athens, and the later Syrian wrote under the same name, and was thought wrongly to be him. Dionysius argued positive and negative knowing, belief and doubt, katophania and apophania, work back and forth dialectically to bring our consciousness into the greater light.

Debates about logic, grammar, law, theology and philosophy between Muslims, Christians and Jews in Arabic were held in royal courts for centuries from the time of Mohammed to the present day, but it was particularly in its golden age from 800 to 1200 CE, from Al-Kindi’s discussions of the scientific, experimental method to Averroes’ extensive commentaries on Aristotle.  The Greek word philosophia was transliterated in Arabic as falsafa, distinguished from kalam, theology, which also involves logic, argument and debate.

Al-Ma’mun (786-833 CE) was the most passionate caliph in supporting scholarship and science, creating an environment that encouraged free thought and debate like no other Islamic ruler.  His father, al-Rashid, had diplomatic ties with Emperors of China and Charlemagne in Europe, and sent Charlemagne an elephant and elaborate brass water clock. In return, Charlemagne gave al-Rashid what may have been the world’s largest emerald.   At the time, Baghdad was the largest city in the world, with a population of more than a million, far larger than Athens or Rome had ever been.

The grand vizier (minister) Ja’far, featured in the 10,001 Nights (as well as Aladdin, unfortunately as the villain) was Ma’mun’s personal tutor, and instilled in him a lifelong love of knowledge and scholarship.  Ma’mun mastered theology, history, poetry, mathematics and philosophy while young, and was particularly gifted at kalam, dialectical debate and argument.  Al-Ma’mun was a supporter of the Mu’tazilites, who openly questioned literal interpretations of the Qur’an, and he founded the House of Wisdom, a center for study and inquiry which drew scholars and philosophers from all over his empire to Baghdad, becoming central to the Islamic Golden Age.

Al-Kindi (801-873), the first major Islamic philosopher, was a pioneer in the sciences, cryptography and the experimental method.  He was also one of the scholars that introduced Indian numerals and base ten system to Islam, where it was developed along with other Indian as well as Greek ideas into Algebra.  He wrote numerous medical treatises, including the memorable Treatise on Diseases caused by Phlegm.  I still haven’t read it, but I still remember the title.  Unlike Galileo and Newton, but like Einstein, Al-Kindi argued that time and space are relative, as all things save Being itself (God) are relative, subjective, and contingent, dependent on other things.  Modern scholarship often says that he merged Neo-Platonism and Aristotle together, but he also incorporated Persian Zoroastrianism and Indian logic.

Even though Christians in Europe followed Islamic Alchemy and Astrology for centuries after al-Kindi’s death, he was an early voice against both, saying they were both pseudo-sciences and that the best method of knowledge is strict observation and experimentation.  While ancient cultures observed the natural world and attempted to explain it, mechanical innovations from China as well as developments in mathematics allowed for experiments to be mechanically set up and recorded, extending beyond mere observation with experimentation.  Humanity has always been experimenting with things, but cultures of regular, mechanical and mathematical experimentation became what we know as the specialized, mechanized sciences.

Al-Farabi, The Second Teacher

Abu Nasr al-Farabi (870 – 950 CE) is known as the Second Teacher in Islamic philosophy, as he brought Aristotelian logic into Islamic thought and made it central, which connected Boethius (d. 525 CE) to Abelard (d. 1141) in France, passing Greek logic from Roman to medieval European hands along with others.  While al-Kindi (d. 866 CE) and al-Razi (d. 925) brought Greek philosophy into Islamic thought, it is al-Farabi, and following him Avicenna and Averroes, who focused on Aristotelian Peripatetic logic and what it can and can’t say.

Farabi was born in Farab, conveniently, what is today Kazakstan, northern lands of what was Persia, and his family was Turkish, from the lands Greeks and Persians fought over in Aristotle’s time.  After working as a gardener in Damascus, Syria, he moved to Baghdad and devoted himself to studying Arabic, which he didn’t know, as he spoke Turkish, as well as all the logic and philosophy he could in Syriac and Arabic with the famous logician Abu Bishr Matta (d. 911) and Ibn Haylan.  Farabi was a great musician who wrote primary studies on music theory, and it is said that he once played for al-Dawlah, ruler of Aleppo, so well that he moved everyone to tears, then made them all laugh until they fell asleep, while Farabi quietly left. He wrote many books on cosmology, politics and logic, traveled, taught, and died in Damascus in 950 CE, almost 650 years before Descartes, the first major modern European philosopher, was born in France in 1594.

There was a famous debate between Abu Bishr Matta, Farabi’s teacher and leading logican of Baghdad, and al-Sirafi, a famed jurist and grammarian, in front of Vizier Ibn al-Furat in 932 CE.  Matta argued logic is a tool for judging right and wrong words. Sirafi said it seems debate is a matter for grammarians, and wondered what Greek logic could do to help guard a Turk, Indian or Arab against speaking incorrectly.  Matta answered that logic grasps concepts that underly all languages, such that grammar and culture are irrelevant to what is true or false in any and all languages. Islamic philosophers often mention that Islam includes many cultures together as one understanding and meaning, such as the Sufi poet Rumi, who appropriated the Indian Jain metaphor of the blind men and the elephant.

Al-Farabi’s theory of certainty centers on perfect agreement, on the highest certainty in what can be known and is known to not possibly be otherwise, and how Aristotle’s syllogisms, when used correctly, can provide this, which leads to happiness and fulfillment.  While most people are only capable of theology, only the philosopher can learn the forms of complete agreement, which is participation with the perfect thought of God as far us mortals can. Al-Farabi studied and commented on all of the Organon, the logical works of Aristotle, and the Greek Neo-Platonist commentaries of Plotinus and Porphyry on Aristotle as well.  Some, the few who have read and studied his works, say his Terms Used In Logic (al-Alfaz al-Musta’malah fi’l-Mantiq) and other introductory treatises on logic and commentaries on the Organon are unsurpassed until modern times, making more sense of Aristotle than anyone had so far, perhaps even Aristotle himself.  

Farabi called his Platonism, with plenty of Aristotelianism, his foreign philosophy (al-Hikmah al-Mashriqiyah), often translated as oriental philosophy, as the word oriental was used, quite simply, to mean foreign by European translators, covering Asia, Africa and the Americas.  Al-Farabi says we should borrow some, but not all of the Greek logical terms, and some from the Arabic grammarians, similar to the Hindu grammarians of India, including what, how, which and why to seek the reasons for things with logic.  While grammarians, Farabi says, study the relationship between words, terms and sentences, the logicians study the relationship between concepts (ma’ani), thoughts and meanings, according to rules that Farabi thinks Aristotle began to articulate and he attempts to clarify.  Farabi argues that logic (mantiq) is etymologically derived from the word for speech (nutq), and that ancient philosophers used inward speech to grasp mental concepts, the “intelligibles” of things beyond their physical form, and outward speech to point to physical objects.

Farabi argues being (mawjud) is most fundamental to logic as a category and term, as it applies to each of the other categories, if they are categories, and exist, and it applies to things as well as what is true, what stands and exists, and being is the term closest in meaning to truth, more than any other word.  Substance or stuff is jawhar, which Farabi says etymologically means jewel in Persian, possibly because substance is the most precious and primary of the categories, what is and exists, and he argues that Aristotle considered actual existing individuals primary substances, and universals secondary substances, possibly mental as opposed to physical.  Farabi says that a definition (hadd) is a statement of the essential categories, while a description is a statement of accidental, inessential differences, giving us the examples Man is a rational animal, the famous statement of Aristotle, as an example of a definition, and Man is a laughing animal, sadly, as an example of mere, inessential description.  Nietzsche said, “Man is the only animal that laughs, or needs to,” likely mocking Aristotle and unfamiliar with al-Farabi.

Farabi says logic is a tool that produces certainty when used properly in all arts, and in all the practical and theoretical sciences.  Farabi argues, using and extending an example found in the Nyaya Sutra, that if we know that a cloud always has a rippling wind, and this wind causes the sound of thunder when clouds bump into each other, we can say, syllogistically, that the cloud causes the sound, and we can also, he adds, define thunder thus, as the sound made by rippling wind in clouds colliding, which is how it is caused, created and so speciated.  A definition has two parts, genus and differendum for Aristotle, the larger group that the thing shares with other things, and what can be said of it that it is different from the other things of the same set.  As such, thunder is a type of sound, and, to differentiate it from other sounds, it is specifically the sound made by rippling wind in clouds colliding.

Farabi gives the example of a circle, which can be defined as a figure with a line with all points equidistant from the center, which means, he strangely argues, that a line itself can’t be a figure.  If a figure is a larger group, and circle is a member of the set, and a certain sort of line is part of what differentiates members of the set from each other, then Farabi reasons that figure is the largest set, circle smaller, and lines incidental differences.  This is odd, as reptiles can be four-footed, and so can mammals, but if all mammals and reptiles are not then neither reptile nor four-footed is simply a larger group, but rather an intersecting set, and snakes have no feet, humans have two, as Plato and Diogenes both know while arguing over a chicken.  Venn diagrams are better at this than a tree of superior One differentiating into inferior many. This is also strangely similar to Hui Shi’s paradox that a four sided figure is more than four sided if it is a figure, as one side is contained by the lines but not a line itself.

Al-Farabi argued that thought, identified Platonically with sight and the imagination, is in the heart, which can imitate what we sense to understand and represent, and create to reason and speculate.  Farabi uses the example of imagining evil as symbolized by darkness, which is seeing darkness and feeling evil in the imagination. Farabi calls genius overflow of imagination.  Farabi argues that poetry is good for improving the imagination, which is useful in all thinking and studied subjects, but poetry can nobly direct the rational faculty to higher forms and moderate our emotions, or it can stimulate the baser emotions and pleasures, which leads to weakness of constitution and character.

Farabi argues this is how Mohammed and other prophets teach and inspire humanity through images, metaphors and analogies, as they have an overabundance of thought, imagination and meaning that helps them see images others can feel.  Angered by dismissals of Aristotle and those who studied Greek works, al Farabi argued that logic was already found in reasoning from the seen to the unseen in theology and law, and could be used to further strengthen both. Many Islamic philosophers argued, following Farabi, that philosophy and science are perfectly in accord with Islam to defend against charges of heresy, much as later European philosophers and scientists did.  Many Christian scholars worked to translate Farabi’s Arabic works on logic into Latin, including Herman the German (d. 1272), who actually worked and lived in Toledo, Spain, not Ohio.

Avicenna & The Unicorn

Ibn Sina (980-1037), whose name was Latinized by Christian Europeans as Avicenna, is often called the greatest of the Islamic philosophers, much as Plato is the most popular and extensive in influence of Greek philosophers, Confucius of Chinese philosophers, Buddha of Indian philosophers, and Kant for German philosophers, for supporters and critics alike, such that the course of Islamic philosophy is taught as leading up to and then stemming from the work of Avicenna, by Islamic scholars of the golden age and today in modern scholarship.  Islamic logic began in Islamic courts of law from the beginning, but by the year 1000, largely thanks to Farabi and Avicenna, Aristotelian Peripatetic logic was the dominant tradition of using logic to show strengths and faults in arguments.  By 1100, Avicenna had taken Aristotle’s place as his superior.  While Averroes turned back to Aristotle from Avicenna and Europeans followed him, Islamic philosophy followed Avicenna, and Averroes became more popular in Europe than he ever was in the Islamic world.

Avicenna was born in the village of Afshana in what is today Uzbekistan, his father the governor of a larger, nearby village they didn’t live in, which is an interesting strategy employed today in DC.  As a boy Avicenna is said to have learned Indian Arithmetic from an Indian grocer in his neighborhood, read all the Greek philosophy he could find, boiled it down in his notes to the essential points and then rearranged the points into as coherent arguments as he could, producing vast commentaries on many subjects as needed, and he claims to have learned nothing after the age of 18, having read all the texts he could by then, and then maturing year by year as he thought over what he learned.

Avicenna is said to be the foremost doctor of his time, and his Canon of Medicine, translated into Latin like his name, was used as a textbook for Europeans up until the 1700s, as Europe passed the Islamic world in power.  His medical practice was based on experimentation and clinical trials, as al-Kindi endorses, fusing Persian, Greek, Indian and other medical traditions together.  He hypothesized that diseases are caused by microscopic organisms, randomized control trials, as well as invented terms for hallucinations, insomnia, mania, dementia, epilepsy and syndromes.  He was the first to correctly show the workings of the eye, arguing that light does not emanate from the mind and through the eyes in perception, as we do not see in the dark, but rather light goes into the eye from outside, contradicting Aristotle, correctly.

Avicenna was an essential author for understanding Aristotle and scientific investigation, even as he argued against Aristotle on many points.  Avicenna claims to use intuition (hads) to judge Aristotle and the Peripatetics, and say whether they should have come to other conclusions or not.  Avicenna reinterpreted sections of Aristotle’s Prior Analytics and On Interpretation, two central books of the Organon, and this took the place of Farabi’s faithful Aristotle as the dominant theory of Islamic logic and philosophy, and interest fell away from the others.  The Shamsiyya of al Katibi, one of the most popular logic textbooks in human history, focuses on formal questions of Avicenna on these topics.

For Avicenna, intention, or meaning is ma’nan, an idea, the form or essence apprehended by the soul or mind, much as we understand images we see to have meaning beyond the image involved with its form, as well as universal concepts and categories, which mean things, grasping necessity of being or not, beyond the thing perceived.  We get the word intention in English from the Latin intentio, which was used to translate ma’nan into the Latin.  As the Mad Hatter tells Alice, we really should say what we mean, and mean what we say.  This is essence and existence, the mental intent and verbal form, meaning and saying together.

Following Aristotle, Avicenna says there are many ways we grasp things as abstractions, as meanings, such as perception, in which we see color and form with the eye, common sense, imagination, memory, and the highest, intellect.  It is not clear if what we call reasoning is common sense, intellect or some combination of these, along with the others, but understanding is grasping things in these ways. The Greek doctor Galen located these in the brain, as did his followers, while others, such as Farabi, located them in the heart, following Aristotle.  Avicenna thinks that imagination as highest intellect is always active when we are awake, and our minds wander, or asleep, and our minds dream, but we can direct the wandering mind by placing it under the intellect, which is thinking, which involves the analysis and synthesis, splitting things apart and putting things together, of syllogistic Aristotelian reasoning.

Avicenna argues a sheep can see, smell, hear and, if unlucky, touch a wolf with external senses, which is all fed from the senses into fantasia, common sense.  Avicenna says a sheep does not have a human intellect, but does grasp intentions, as in the wolf, what he calls estimation (wahm), what could also be called concern or care, perception of intentions, which are invisible but can be felt, not seen, smelled, heard or touched with the outer senses.  The sheep cannot see danger, or the wolf’s wrath, but can put it together with a basic sort of sense which must be internal, something the mind of the sheep adds to the sights and sounds of the wolf.  It is not entirely clear in the example if Avicenna means the sheep merely feels the wolf is dangerous, its own fear, or if the sheep feels the wolf’s desire, recognizing it as a creature with motives that are threatening instinctively.  Avicenna argues that it is basic to the retentive imagination of the sheep, which we share but also have higher inner senses, and ultimately the imagination and intellect, giving us no clear explanation of where the sheep’s fear comes from, either from instinct or conditioning.

As mentioned with Farabi, Islamic philosophers increasingly turned to the human mind and imagination as the source of reality.  Consider that Avicenna, a doctor, was treating patients for hallucinations and dementia while thinking about philosophy and the mind.  While Aristotle understood universals, such as the group of all elephants, as a physical set of things, Avicenna argued against Aristotle, by name, that universals are conceptions of the mind, fantasies of sense and imagination.  When we speak of elephants, we are talking about our concept, not the set of elephants that currently exist. This is the great debate between essence and existence of Avicenna and Averroes. Does our term elephant refer to what we think, or all actual elephants?  Averroes argued that Aristotle is right, and Avicenna is wrong, that the term does not refer to our concept of elephant, but to all physical elephants.

Before Avicenna, the Mutazilites had argued that the most general category of thought is the thing, like Farabi says of being, and things can be further divided into existent and non-existent things.  Without a thing, there is no subject for words to communicate anything. In the Quran, it says that God merely has to say to a non-existent thing, BE, and then it is.  It is unclear where God finds these non-existents to talk into existence, however, and Mutazilites argued with others about whether non-existents are already in the mind of God or not, much like all possible universes necessarily existing, but in potency, as the infinite imagination of God, which God can make immediately actual.

The Mutazilites, like Avicenna, argued that thoughts, mental categories such as horses, are fictional and non-existent, unlike actual horses and physical objects, so thoughts are, themselves, non-existent, in the same way, they argued, that the concept of unicorns is mental, and non-existent, and so are the unicorns, which also don’t exist, unlike horses but like the idea of them.  Our ideas about horses and unicorns are equally real, but imaginary, not physical, and there are physical horses our idea of horses refers to in the world, which is not true of our idea of unicorns, as far as we know from our senses, internal and external.

Avicenna argued that the essence of a thing is its definition, what mental categories can properly describe and contain it, but its existence is its individuality, which is not a mental category.  Many who followed Avicenna, such as Suhrawardi (d. 1191) argued essence is primary, superior to objects, while others, such as Mulla Sadra (d. 1640) argued essence is a secondary mental construct. Whether or not they took the side of Avicenna, whatever it may be, most Islamic philosophers, and many Christian Europeans, argued in terms Avicenna framed, even as many, but not all Christian European philosophers preferred traditional Aristotle and Averroes to Avicenna.  Sartre, the French founder of Existentialism in the 1940s, argued that existence precedes essence, not the other way around. What he means is very different from Avicenna, that we make meaning, which is secondary to physical, disorganized and illogical existence, actual daily life, deliberately unhinged from the thought of God, taking after Nietzsche.

All of this may seem strange, for a thing to not exist as particularly what it is, but consider that possibilities and potentialities don’t exist, but do, as far as we talk and think about them.  Consider someone thinking of opening door one or door two, and can’t do both, so the possibility of opening door A and door B are conflicting and real possibilities, but where are these possibilities?  Are they physically real? Are they mental? Some speak as if they are physical realities, like Averroes, but not Avicenna, who like the Mutazilites, treats mental concepts and categories as physically unreal but mentally potent, as capable of producing understanding even if they are not physically existent, like our use of the example of unicorns, which don’t exist, and so serve as a perfectly fine example of an idea that doesn’t “truly” exist.

Whether or not we are determinists, and say there is only one possible future, or open the possibility of free will or chaos, and say there could be multiple possibilities, the possibilities that contradict each other can’t be real and present and remain possibilities.  On the one hand, you and I say and agree that there are two possibilities, but on the other we can’t say that something actual is present, because neither door has been opened, and they can’t be equally opened. We share, with others, imaginary space where we imagine possibilities to figure things out, which is what we call part of reality, but it is imaginary and mental, not real.  Otherwise, our concepts of horses and unicorns are both equally real, whether or not the idea corresponds to actual things, when in fact both are real as potential, mental things that may or may not go on to correspond to actual objects.  Hegel later argued in Germany that possibilities are real, existent examples of types of non-being, which he also understands, like Avicenna, in terms of Platonic and Aristotelian potencies.

Avicenna’s floating man thought experiment should be important and included in any Intro Philosophy class because it is strikingly similar to Descartes’ Deceiving Demon, one of the first major concepts of modern European philosophy.  Avicenna, who worked with anesthetics in hospitals such as opium, asks us to imagine that we are slowly unable to feel our feet, then body, then sight and sensation, then memory and imagination. What is left, the last and most essential thing that is ourselves?  Avicenna replies that it is consciousness, our awareness of existing even if we cannot think of who or what we are. With that, we still can be said to exist. Without that, it can be said that we are no longer there.

Descartes has us imagine that there is a demon who is deceiving us and creating the world as an illusion, but the one thing the demon can not trick us about is that we are aware.  Descartes concludes his argument with the famous declaration, “I think, therefore I am”, though it would be more accurate to say, “I am aware, therefore I am”, the conclusion of Avicenna, as thinking can be removed while awareness remains.  Where does the deceiving demon of Descartes come from? The Cathars, Gnostic Manichaean Christians persecuted in France in the 1400s, believed that this world is a lie ruled by Satan, much like the shadows on the wall of Plato’s Cave.  The Catholic Church denounced this as heresy, arguing that God rules the world and speaks through the Church. Avicenna uses anesthetics rather than a demon.

Averroes, The Fruit & The Rinds

Ibn Rushd, known Latinized to Europeans as Averroes (1126-1198), lived, studied and taught in Cordoba, Spain, like Maimonides.  He wrote commentaries on all of Aristotle’s works, and like Avicenna was central for Europe’s understanding of Aristotle.  Against the Sufi mystic al-Ghazali’s book The Incoherence of the Philosophers, Averroes wrote The Incoherence of the Incoherence, arguing against skepticism for the pursuit of universal knowledge.  For Averroes, the grasp of the cognitive is the fruit, the real meaning, and the sensibles are the external rinds, like the tough outside of a cantaloupe, the wolf-song melon, also known as a Persian melon, which came from South Asia to Europe by way of the Italian province known by the same name.

While Avicenna followed much of Farabi’s Neoplatonic Aristotelianism, Averroes, the third of the great three Islamic philosophers, was quite opposed to the first two, particularly their rather Mutazilite idea that God is absolutely necessary, and acts necessarily, without freedom, but the world is contingent and possible, dependent on God as necessary and as its source.  Averroes argued that the world, as some Islamic theologians do argue, much like Calvinist Christians, that God is free to act as God pleases, but the world is absolutely deterministic, as God knows and causes everything to happen before it happens, such that if something happens in the future, as Muslims say, it will happen inshallah, if God wills it, never making absolute human judgements about the future, not because God doesn’t already know what’s going to happen, but because we human beings can’t possibly know what is fated to come.  The saying works either way.

Averroes rejects Avicenna’s faculty of estimation in animals, saying sensation and imagination in animals is all that is needed.  He substitutes the internal sense cogitation for estimation, and denies the distinction between the two types of imagination, giving him four.  For Avicenna, imagination can grasp objects that are nonexistent, but estimation grasps invisible intentions that do exist, and are particular things, not universal types, such as the sheep feeling that wolf is angry over there, not that anger is generally in wolves overall.

Averroes argues that colors and forms exist in a nobler way in the soul than in the object, oddly like abstract expressionists say in modern art, noting that an object cannot be black and white in the same way at once, but the eye can see black and white at the same time, admitting more with mind in experience than the material can admit in the object.  While a small object cannot fit in a larger one, the eye can contain the whole horizon, as much as our senses can admit, even though the eye is a tiny sphere, which shows us the power of the mind and soul in the eye.

Many scholars did not like the formalities of studying logic, such as Iben al-Salah (d. 1245), who argued that no one needs Aristotelian logic, as God gave everyone common sense, which is clearly more useful.  The juror Ign Tamiyya (d. 1328) argued that syllogisms are perfectly true, but absurdly useless and needlessly difficult. It was only with Sir Francis Bacon in the 1600s declaring Aristotle’s syllogisms, his forms of reasoning, as too rigid for the progress of the sciences that Europe turned from Averroism.

An Arabic depiction of Aristotle

An Arabic depiction of Aristotle. Muslims consider Greek philosophers to be part of their own tradition, as do Christians and Western Europeans, in spite of the fact that these philosophers believed in many gods.  Notice how dark Aristotle is depicted in skin tone, and the Chinese style folding book on the book stand between them, the same sort of book we use today, which Chinese style wood pulp paper, the sort of thing Aristotle could not possibly have owned.

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