108 ideas
| 19693 | There is practical wisdom (for action), and theoretical wisdom (for deep understanding) [Aristotle, by Whitcomb] |
| Full Idea: Aristotle takes wisdom to come in two forms, the practical and the theoretical, the former of which is good judgement about how to act, and the latter of which is deep knowledge or understanding. | |
| From: report of Aristotle (works [c.330 BCE]) by Dennis Whitcomb - Wisdom Intro | |
| A reaction: The interesting question is then whether the two are connected. One might be thoroughly 'sensible' about action, without counting as 'wise', which seems to require a broader view of what is being done. Whitcomb endorses Aristotle on this idea. |
| 2474 | It seems likely that analysis of concepts is impossible, but justification can survive without it [Fodor] |
| Full Idea: Lots of philosophers fear that if concepts don't have analyses, justification breaks down. My own guess is that concepts don't have analyses and that justification will survive all the same. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 3 n2) |
| 2481 | Despite all the efforts of philosophers, nothing can ever be reduced to anything [Fodor] |
| Full Idea: The general truth is that nothing ever reduces to anything, however hard philosophers may try. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 6) |
| 1575 | For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle] |
| Full Idea: For Aristotle logos is the ability to speak rationally about, with the hope of attaining knowledge, questions of value. | |
| From: comment on Aristotle (works [c.330 BCE]) by David Roochnik - The Tragedy of Reason p.26 |
| 1589 | Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle] |
| Full Idea: Aristotle is the great theoretician who articulates a vision of a world in which natural and stable structures can be rationally discovered. His is the most optimistic and richest view of the possibilities of logos | |
| From: comment on Aristotle (works [c.330 BCE]) by David Roochnik - The Tragedy of Reason p.95 |
| 2505 | Turing invented the idea of mechanical rationality (just based on syntax) [Fodor] |
| Full Idea: The most important thing that has happened in cognitive science was Turing's invention of the notion of mechanical rationality (because some inferences are rational in virtue of the syntax of their sentences). | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.17) |
| 8200 | Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine] |
| Full Idea: A real definition, according to the Aristotelian tradition, gives the essence of the kind of thing defined. Man is defined as a rational animal, and thus rationality and animality are of the essence of each of us. | |
| From: report of Aristotle (works [c.330 BCE]) by Willard Quine - Vagaries of Definition p.51 | |
| A reaction: Compare Idea 4385. Personally I prefer the Aristotelian approach, but we may have to say 'We cannot identify the essence of x, and so x cannot be defined'. Compare 'his mood was hard to define' with 'his mood was hostile'. |
| 4385 | Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson] |
| Full Idea: For Aristotle, to give a definition one must first state the genus and then the differentia of the kind of thing to be defined. | |
| From: report of Aristotle (works [c.330 BCE]) by J.O. Urmson - Aristotle's Doctrine of the Mean p.157 | |
| A reaction: Presumably a modern definition would just be a list of properties, but Aristotle seeks the substance. How does he define a genus? - by placing it in a further genus? |
| 2470 | Transcendental arguments move from knowing Q to knowing P because it depends on Q [Fodor] |
| Full Idea: Transcendental arguments ran: "If it weren't that P, we couldn't know (now 'say' or 'think' or 'judge') that Q; and we do know (now…) that Q; therefore P". Old and new arguments tend to be equally unconvincing, because of their empiricist preconceptions. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 3) |
| 15901 | Trying to represent curves, we study arbitrary functions, leading to the ordinals, which produces set theory [Cantor, by Lavine] |
| Full Idea: The notion of a function evolved gradually from wanting to see what curves can be represented as trigonometric series. The study of arbitrary functions led Cantor to the ordinal numbers, which led to set theory. | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite I |
| 18098 | Cantor proved that all sets have more subsets than they have members [Cantor, by Bostock] |
| Full Idea: Cantor's diagonalisation argument generalises to show that any set has more subsets than it has members. | |
| From: report of George Cantor (works [1880]) by David Bostock - Philosophy of Mathematics 4.5 | |
| A reaction: Thus three members will generate seven subsets. This means that 'there is no end to the series of cardinal numbers' (Bostock p.106). |
| 13444 | Cantor's Theorem: for any set x, its power set P(x) has more members than x [Cantor, by Hart,WD] |
| Full Idea: Cantor's Theorem says that for any set x, its power set P(x) has more members than x. | |
| From: report of George Cantor (works [1880]) by William D. Hart - The Evolution of Logic 1 |
| 15505 | If a set is 'a many thought of as one', beginners should protest against singleton sets [Cantor, by Lewis] |
| Full Idea: Cantor taught that a set is 'a many, which can be thought of as one'. ...After a time the unfortunate beginner student is told that some classes - the singletons - have only a single member. Here is a just cause for student protest, if ever there was one. | |
| From: report of George Cantor (works [1880]) by David Lewis - Parts of Classes 2.1 | |
| A reaction: There is a parallel question, almost lost in the mists of time, of whether 'one' is a number. 'Zero' is obviously dubious, but if numbers are for counting, that needs units, so the unit is the precondition of counting, not part of it. |
| 10701 | Cantor showed that supposed contradictions in infinity were just a lack of clarity [Cantor, by Potter] |
| Full Idea: Cantor's theories exhibited the contradictions others had claimed to derive from the supposition of infinite sets as confusions resulting from the failure to mark the necessary distinctions with sufficient clarity. | |
| From: report of George Cantor (works [1880]) by Michael Potter - Set Theory and Its Philosophy Intro 1 |
| 10865 | The continuum is the powerset of the integers, which moves up a level [Cantor, by Clegg] |
| Full Idea: Cantor discovered that the continuum is the powerset of the integers. While adding or multiplying infinities didn't move up a level of complexity, multiplying a number by itself an infinite number of times did. | |
| From: report of George Cantor (works [1880]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.14 |
| 13016 | The Axiom of Union dates from 1899, and seems fairly obvious [Cantor, by Maddy] |
| Full Idea: Cantor first stated the Union Axiom in a letter to Dedekind in 1899. It is nearly too obvious to deserve comment from most commentators. Justifications usually rest on 'limitation of size' or on the 'iterative conception'. | |
| From: report of George Cantor (works [1880]) by Penelope Maddy - Believing the Axioms I §1.3 | |
| A reaction: Surely someone can think of some way to challenge it! An opportunity to become notorious, and get invited to conferences. |
| 14199 | Cantor's sets were just collections, but Dedekind's were containers [Cantor, by Oliver/Smiley] |
| Full Idea: Cantor's definition of a set was a collection of its members into a whole, but within a few years Dedekind had the idea of a set as a container, enclosing its members like a sack. | |
| From: report of George Cantor (works [1880]) by Oliver,A/Smiley,T - What are Sets and What are they For? Intro | |
| A reaction: As the article goes on to show, these two view don't seem significantly different until you start to ask about the status of the null set and of singletons. I intuitively vote for Dedekind. Set theory is the study of brackets. |
| 13282 | Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki] |
| Full Idea: Aristotle proposes to relativise unity and plurality, so that a single object can be both one (indivisible) and many (divisible) simultaneously, without contradiction, relative to different measures. Wholeness has degrees, with the strength of the unity. | |
| From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 7.2.12 | |
| A reaction: [see Koslicki's account of Aristotle for details] As always, the Aristotelian approach looks by far the most promising. Simplistic mechanical accounts of how parts make wholes aren't going to work. We must include the conventional and conceptual bit. |
| 4730 | For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady] |
| Full Idea: Aristotle apparently believed that the subject-predicate structure of Greek reflected the substance-accident nature of reality. | |
| From: report of Aristotle (works [c.330 BCE]) by Paul O'Grady - Relativism Ch.4 | |
| A reaction: We need not assume that Aristotle is wrong. It is a chicken-and-egg. There is something obvious about subject-predicate language, if one assumes that unified objects are part of nature, and not just conventional. |
| 10082 | There are infinite sets that are not enumerable [Cantor, by Smith,P] |
| Full Idea: Cantor's Theorem (1874) says there are infinite sets that are not enumerable. This is proved by his 1891 'diagonal argument'. | |
| From: report of George Cantor (works [1880]) by Peter Smith - Intro to Gödel's Theorems 2.3 | |
| A reaction: [Smith summarises the diagonal argument] |
| 13483 | Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD] |
| Full Idea: The problem of Cantor's Paradox is that the power set of the universe has to be both bigger than the universe (by Cantor's theorem) and not bigger (since it is a subset of the universe). | |
| From: report of George Cantor (works [1880]) by William D. Hart - The Evolution of Logic 3 | |
| A reaction: Russell eliminates the 'universe' in his theory of types. I don't see why you can't just say that the members of the set are hypothetical rather than real, and that hypothetically the universe might contain more things than it does. |
| 8710 | The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend] |
| Full Idea: Cantor's Paradox says that the powerset of a set has a cardinal number strictly greater than the original set, but that means that the powerset of the set of all the cardinal numbers is greater than itself. | |
| From: report of George Cantor (works [1880]) by Michèle Friend - Introducing the Philosophy of Mathematics | |
| A reaction: Friend cites this with the Burali-Forti paradox and the Russell paradox as the best examples of the problems of set theory in the early twentieth century. Did this mean that sets misdescribe reality, or that we had constructed them wrongly? |
| 15910 | Cantor named the third realm between the finite and the Absolute the 'transfinite' [Cantor, by Lavine] |
| Full Idea: Cantor believed he had discovered that between the finite and the 'Absolute', which is 'incomprehensible to the human understanding', there is a third category, which he called 'the transfinite'. | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite III.4 |
| 15905 | Cantor proved the points on a plane are in one-to-one correspondence to the points on a line [Cantor, by Lavine] |
| Full Idea: In 1878 Cantor published the unexpected result that one can put the points on a plane, or indeed any n-dimensional space, into one-to-one correspondence with the points on a line. | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite III.1 |
| 9983 | Cantor took the ordinal numbers to be primary [Cantor, by Tait] |
| Full Idea: Cantor took the ordinal numbers to be primary: in his generalization of the cardinals and ordinals into the transfinite, it is the ordinals that he calls 'numbers'. | |
| From: report of George Cantor (works [1880]) by William W. Tait - Frege versus Cantor and Dedekind VI | |
| A reaction: [Tait says Dedekind also favours the ordinals] It is unclear how the matter might be settled. Humans cannot give the cardinality of large groups without counting up through the ordinals. A cardinal gets its meaning from its place in the ordinals? |
| 17798 | Cantor presented the totality of natural numbers as finite, not infinite [Cantor, by Mayberry] |
| Full Idea: Cantor taught us to regard the totality of natural numbers, which was formerly thought to be infinite, as really finite after all. | |
| From: report of George Cantor (works [1880]) by John Mayberry - What Required for Foundation for Maths? p.414-2 | |
| A reaction: I presume this is because they are (by definition) countable. |
| 9971 | Cantor introduced the distinction between cardinals and ordinals [Cantor, by Tait] |
| Full Idea: Cantor introduced the distinction between cardinal and ordinal numbers. | |
| From: report of George Cantor (works [1880]) by William W. Tait - Frege versus Cantor and Dedekind Intro | |
| A reaction: This seems remarkably late for what looks like a very significant clarification. The two concepts coincide in finite cases, but come apart in infinite cases (Tait p.58). |
| 9892 | Cantor showed that ordinals are more basic than cardinals [Cantor, by Dummett] |
| Full Idea: Cantor's work revealed that the notion of an ordinal number is more fundamental than that of a cardinal number. | |
| From: report of George Cantor (works [1880]) by Michael Dummett - Frege philosophy of mathematics Ch.23 | |
| A reaction: Dummett makes it sound like a proof, which I find hard to believe. Is the notion that I have 'more' sheep than you logically prior to how many sheep we have? If I have one more, that implies the next number, whatever that number may be. Hm. |
| 14136 | A cardinal is an abstraction, from the nature of a set's elements, and from their order [Cantor] |
| Full Idea: The cardinal number of M is the general idea which, by means of our active faculty of thought, is deduced from the collection M, by abstracting from the nature of its diverse elements and from the order in which they are given. | |
| From: George Cantor (works [1880]), quoted by Bertrand Russell - The Principles of Mathematics §284 | |
| A reaction: [Russell cites 'Math. Annalen, XLVI, §1'] See Fine 1998 on this. |
| 11015 | Cantor's diagonal argument proved you can't list all decimal numbers between 0 and 1 [Cantor, by Read] |
| Full Idea: Cantor's diagonal argument showed that all the infinite decimals between 0 and 1 cannot be written down even in a single never-ending list. | |
| From: report of George Cantor (works [1880]) by Stephen Read - Thinking About Logic Ch.6 |
| 15906 | Cantor tried to prove points on a line matched naturals or reals - but nothing in between [Cantor, by Lavine] |
| Full Idea: Cantor said he could show that every infinite set of points on the line could be placed into one-to-one correspondence with either the natural numbers or the real numbers - with no intermediate possibilies (the Continuum hypothesis). His proof failed. | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite III.1 |
| 15903 | A real is associated with an infinite set of infinite Cauchy sequences of rationals [Cantor, by Lavine] |
| Full Idea: Cantor's theory of Cauchy sequences defines a real number to be associated with an infinite set of infinite sequences of rational numbers. | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite II.6 | |
| A reaction: This sounds remarkably like the endless decimals we use when we try to write down an actual real number. |
| 18251 | Irrational numbers are the limits of Cauchy sequences of rational numbers [Cantor, by Lavine] |
| Full Idea: Cantor introduced irrationals to play the role of limits of Cauchy sequences of rational numbers. | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite 4.2 |
| 15902 | Irrationals and the Dedekind Cut implied infinite classes, but they seemed to have logical difficulties [Cantor, by Lavine] |
| Full Idea: From the very nature of an irrational number, it seems necessary to understand the mathematical infinite thoroughly before an adequate theory of irrationals is possible. Infinite classes are obvious in the Dedekind Cut, but have logical difficulties | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite II Intro | |
| A reaction: Almost the whole theory of analysis (calculus) rested on the irrationals, so a theory of the infinite was suddenly (in the 1870s) vital for mathematics. Cantor wasn't just being eccentric or mystical. |
| 15908 | It was Cantor's diagonal argument which revealed infinities greater than that of the real numbers [Cantor, by Lavine] |
| Full Idea: Cantor's 1891 diagonal argument revealed there are infinitely many infinite powers. Indeed, it showed more: it shows that given any set there is another of greater power. Hence there is an infinite power strictly greater than that of the set of the reals. | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite III.2 |
| 13464 | Cantor proposes that there won't be a potential infinity if there is no actual infinity [Cantor, by Hart,WD] |
| Full Idea: What we might call 'Cantor's Thesis' is that there won't be a potential infinity of any sort unless there is an actual infinity of some sort. | |
| From: report of George Cantor (works [1880]) by William D. Hart - The Evolution of Logic 1 | |
| A reaction: This idea is nicely calculated to stop Aristotle in his tracks. |
| 10112 | The naturals won't map onto the reals, so there are different sizes of infinity [Cantor, by George/Velleman] |
| Full Idea: Cantor showed that the complete totality of natural numbers cannot be mapped 1-1 onto the complete totality of the real numbers - so there are different sizes of infinity. | |
| From: report of George Cantor (works [1880]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.4 |
| 17889 | CH: An infinite set of reals corresponds 1-1 either to the naturals or to the reals [Cantor, by Koellner] |
| Full Idea: Cantor's Continuum Hypothesis (CH) says that for every infinite set X of reals there is either a one-to-one correspondence between X and the natural numbers, or between X and the real numbers. | |
| From: report of George Cantor (works [1880]) by Peter Koellner - On the Question of Absolute Undecidability 1.2 | |
| A reaction: Every single writer I read defines this differently, which drives me crazy, but is also helpfully illuminating. There is a moral there somewhere. |
| 10883 | Cantor's Continuum Hypothesis says there is a gap between the natural and the real numbers [Cantor, by Horsten] |
| Full Idea: Cantor's Continuum Hypothesis states that there are no sets which are too large for there to be a one-to-one correspondence between the set and the natural numbers, but too small for there to exist a one-to-one correspondence with the real numbers. | |
| From: report of George Cantor (works [1880]) by Leon Horsten - Philosophy of Mathematics §5.1 |
| 8733 | The Continuum Hypothesis says there are no sets between the natural numbers and reals [Cantor, by Shapiro] |
| Full Idea: Cantor's 'continuum hypothesis' is the assertion that there are no infinite cardinalities strictly between the size of the natural numbers and the size of the real numbers. | |
| From: report of George Cantor (works [1880]) by Stewart Shapiro - Thinking About Mathematics 2.4 | |
| A reaction: The tricky question is whether this hypothesis can be proved. |
| 13528 | Continuum Hypothesis: there are no sets between N and P(N) [Cantor, by Wolf,RS] |
| Full Idea: Cantor's conjecture (the Continuum Hypothesis) is that there are no sets between N and P(N). The 'generalized' version replaces N with an arbitrary infinite set. | |
| From: report of George Cantor (works [1880]) by Robert S. Wolf - A Tour through Mathematical Logic 2.2 | |
| A reaction: The initial impression is that there is a single gap in the numbers, like a hole in ozone layer, but the generalised version implies an infinity of gaps. How can there be gaps in the numbers? Weird. |
| 9555 | Continuum Hypothesis: no cardinal greater than aleph-null but less than cardinality of the continuum [Cantor, by Chihara] |
| Full Idea: Cantor's Continuum Hypothesis was that there is no cardinal number greater than aleph-null but less than the cardinality of the continuum. | |
| From: report of George Cantor (works [1880]) by Charles Chihara - A Structural Account of Mathematics 05.1 | |
| A reaction: I have no view on this (have you?), but the proposal that there are gaps in the number sequences has to excite all philosophers. |
| 13447 | Cantor: there is no size between naturals and reals, or between a set and its power set [Cantor, by Hart,WD] |
| Full Idea: Cantor conjectured that there is no size between those of the naturals and the reals - called the 'continuum hypothesis'. The generalized version says that for no infinite set A is there a set larger than A but smaller than P(A). | |
| From: report of George Cantor (works [1880]) by William D. Hart - The Evolution of Logic 1 | |
| A reaction: Thus there are gaps between infinite numbers, and the power set is the next size up from any infinity. Much discussion as ensued about whether these two can be proved. |
| 15893 | Cantor's theory concerns collections which can be counted, using the ordinals [Cantor, by Lavine] |
| Full Idea: Cantor's set theory was not of collections in some familiar sense, but of collections that can be counted using the indexes - the finite and transfinite ordinal numbers. ..He treated infinite collections as if they were finite. | |
| From: report of George Cantor (works [1880]) by Shaughan Lavine - Understanding the Infinite I |
| 18174 | Cantor extended ordinals into the transfinite, and they can thus measure infinite cardinalities [Cantor, by Maddy] |
| Full Idea: Cantor's second innovation was to extend the sequence of ordinal numbers into the transfinite, forming a handy scale for measuring infinite cardinalities. | |
| From: report of George Cantor (works [1880]) by Penelope Maddy - Naturalism in Mathematics I.1 | |
| A reaction: Struggling with this. The ordinals seem to locate the cardinals, but in what sense do they 'measure' them? |
| 18173 | Cardinality strictly concerns one-one correspondence, to test infinite sameness of size [Cantor, by Maddy] |
| Full Idea: Cantor's first innovation was to treat cardinality as strictly a matter of one-to-one correspondence, so that the question of whether two infinite sets are or aren't of the same size suddenly makes sense. | |
| From: report of George Cantor (works [1880]) by Penelope Maddy - Naturalism in Mathematics I.1 | |
| A reaction: It makes sense, except that all sets which are infinite but countable can be put into one-to-one correspondence with one another. What's that all about, then? |
| 10232 | Property extensions outstrip objects, so shortage of objects caused the Caesar problem [Cantor, by Shapiro] |
| Full Idea: Cantor's theorem entails that there are more property extensions than objects. So there are not enough objects in any domain to serve as extensions for that domain. So Frege's view that numbers are objects led to the Caesar problem. | |
| From: report of George Cantor (works [1880]) by Stewart Shapiro - Philosophy of Mathematics 4.6 | |
| A reaction: So the possibility that Caesar might have to be a number arises because otherwise we are threatening to run out of numbers? Is that really the problem? |
| 18176 | Pure mathematics is pure set theory [Cantor] |
| Full Idea: Pure mathematics ...according to my conception is nothing other than pure set theory. | |
| From: George Cantor (works [1880], I.1), quoted by Penelope Maddy - Naturalism in Mathematics I.1 | |
| A reaction: [an unpublished paper of 1884] So right at the beginning of set theory this claim was being made, before it was axiomatised, and so on. Zermelo endorsed the view, and it flourished unchallenged until Benacerraf (1965). |
| 8631 | Cantor says that maths originates only by abstraction from objects [Cantor, by Frege] |
| Full Idea: Cantor calls mathematics an empirical science in so far as it begins with consideration of things in the external world; on his view, number originates only by abstraction from objects. | |
| From: report of George Cantor (works [1880]) by Gottlob Frege - Grundlagen der Arithmetik (Foundations) §21 | |
| A reaction: Frege utterly opposed this view, and he seems to have won the day, but I am rather thrilled to find the great Cantor endorsing my own intuitions on the subject. The difficulty is to explain 'abstraction'. |
| 2469 | The world is full of messy small things producing stable large-scale properties (e.g. mountains) [Fodor] |
| Full Idea: Damn near everything we know about the world (e.g. a mountain) suggests that unimaginably complicated to-ings and fro-ings of bits and pieces at the extreme microlevel manage somehow to converge on stable macrolevel properties. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 2) | |
| A reaction: This is clearly true, and is a vital part of the physicalist picture of the mind. Personally I prefer the word 'processes' to 'properties', since no one seems to really know what a property is. A process is an abstraction from events. |
| 2475 | Don't define something by a good instance of it; a good example is a special case of the ordinary example [Fodor] |
| Full Idea: It's a mistake to try to construe the notion of an instance in terms of the notion of a good instance (e.g. Platonic Forms); the latter is patently a special case of the former, so the right order of exposition is the other way round. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 4) |
| 13276 | The unmoved mover and the soul show Aristotelian form as the ultimate mereological atom [Aristotle, by Koslicki] |
| Full Idea: Aristotle's discussion of the unmoved mover and of the soul confirms the suspicion that form, when it is not thought of as the object represented in a definition, plays the role of the ultimate mereological atom within his system. | |
| From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 6.6 | |
| A reaction: Aristotle is concerned with which things are 'divisible', and he cites these two examples as indivisible, but they may be too unusual to offer an actual theory of how Aristotle builds up wholes from atoms. He denies atoms in matter. |
| 13277 | The 'form' is the recipe for building wholes of a particular kind [Aristotle, by Koslicki] |
| Full Idea: Thus in Aristotle we may think of an object's formal components as a sort of recipe for how to build wholes of that particular kind. | |
| From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 7.2.5 | |
| A reaction: In the elusive business of pinning down what Aristotle means by the crucial idea of 'form', this analogy strikes me as being quite illuminating. It would fit DNA in living things, and the design of an artifact. |
| 5991 | For Aristotle, knowledge is of causes, and is theoretical, practical or productive [Aristotle, by Code] |
| Full Idea: Aristotle thinks that in general we have knowledge or understanding when we grasp causes, and he distinguishes three fundamental types of knowledge - theoretical, practical and productive. | |
| From: report of Aristotle (works [c.330 BCE]) by Alan D. Code - Aristotle | |
| A reaction: Productive knowledge we tend to label as 'knowing how'. The centrality of causes for knowledge would get Aristotle nowadays labelled as a 'naturalist'. It is hard to disagree with his three types, though they may overlap. |
| 2502 | How do you count beliefs? [Fodor] |
| Full Idea: There is no agreed way of counting beliefs. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.16) |
| 2501 | Berkeley seems to have mistakenly thought that chairs are the same as after-images [Fodor] |
| Full Idea: Berkeley seems to have believed that tables and chairs are logically homogeneous with afterimages. I assume that he was wrong to believe this. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.16) |
| 11239 | The notion of a priori truth is absent in Aristotle [Aristotle, by Politis] |
| Full Idea: The notion of a priori truth is conspicuously absent in Aristotle. | |
| From: report of Aristotle (works [c.330 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 1.5 | |
| A reaction: Cf. Idea 11240. |
| 2465 | Maybe explaining the mechanics of perception will explain the concepts involved [Fodor] |
| Full Idea: Why mightn't fleshing out the standard psychological account of perception itself count as learning what perceptual justification amounts to? | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 1) |
| 23312 | Aristotle is a rationalist, but reason is slowly acquired through perception and experience [Aristotle, by Frede,M] |
| Full Idea: Aristotle is a rationalist …but reason for him is a disposition which we only acquire over time. Its acquisition is made possible primarily by perception and experience. | |
| From: report of Aristotle (works [c.330 BCE]) by Michael Frede - Aristotle's Rationalism p.173 | |
| A reaction: I would describe this process as the gradual acquisition of the skill of objectivity, which needs the right knowledge and concepts to evaluate new experiences. |
| 2504 | Rationalism can be based on an evolved computational brain with innate structure [Fodor] |
| Full Idea: Pinker's rationalism involves four main ideas: mind is a computational system, which is massively modular with a lot of innate structure resulting from evolution. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.17) |
| 2493 | According to empiricists abstraction is the fundamental mental process [Fodor] |
| Full Idea: According to empiricists, the fundamental mental process is not theory construction but abstraction. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.12) |
| 2494 | Rationalists say there is more to a concept than the experience that prompts it [Fodor] |
| Full Idea: That there is more in the content of a concept than there is in the experiences that prompt us to form it is the burden of the traditional rationalist critique of empiricism (as worked out by Leibniz and Kant). | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.12) |
| 16111 | Aristotle wants to fit common intuitions, and therefore uses language as a guide [Aristotle, by Gill,ML] |
| Full Idea: Since Aristotle generally prefers a metaphysical theory that accords with common intuitions, he frequently relies on facts about language to guide his metaphysical claims. | |
| From: report of Aristotle (works [c.330 BCE]) by Mary Louise Gill - Aristotle on Substance Ch.5 | |
| A reaction: I approve of his procedure. I take intuition to be largely rational justifications too complex for us to enunciate fully, and language embodies folk intuitions in its concepts (especially if the concepts occur in many languages). |
| 16971 | Plato says sciences are unified around Forms; Aristotle says they're unified around substance [Aristotle, by Moravcsik] |
| Full Idea: Plato's unity of science principle states that all - legitimate - sciences are ultimately about the Forms. Aristotle's principle states that all sciences must be, ultimately, about substances, or aspects of substances. | |
| From: report of Aristotle (works [c.330 BCE], 1) by Julius Moravcsik - Aristotle on Adequate Explanations 1 |
| 11243 | Aristotelian explanations are facts, while modern explanations depend on human conceptions [Aristotle, by Politis] |
| Full Idea: For Aristotle things which explain (the explanantia) are facts, which should not be associated with the modern view that says explanations are dependent on how we conceive and describe the world (where causes are independent of us). | |
| From: report of Aristotle (works [c.330 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 2.1 | |
| A reaction: There must be some room in modern thought for the Aristotelian view, if some sort of robust scientific realism is being maintained against the highly linguistic view of philosophy found in the twentieth century. |
| 3320 | Aristotle's standard analysis of species and genus involves specifying things in terms of something more general [Aristotle, by Benardete,JA] |
| Full Idea: The standard Aristotelian doctrine of species and genus in the theory of anything whatever involves specifying what the thing is in terms of something more general. | |
| From: report of Aristotle (works [c.330 BCE]) by José A. Benardete - Metaphysics: the logical approach Ch.10 |
| 12000 | Aristotle regularly says that essential properties explain other significant properties [Aristotle, by Kung] |
| Full Idea: The view that essential properties are those in virtue of which other significant properties of the subjects under investigation can be explained is encountered repeatedly in Aristotle's work. | |
| From: report of Aristotle (works [c.330 BCE]) by Joan Kung - Aristotle on Essence and Explanation IV | |
| A reaction: What does 'significant' mean here? I take it that the significant properties are the ones which explain the role, function and powers of the object. |
| 2503 | Empirical approaches see mind connections as mirrors/maps of reality [Fodor] |
| Full Idea: Empirical approaches to cognition say the human mind is a blank slate at birth; experiences write on the slate, and association extracts and extrapolates trends from the record of experience. The mind is an image of statistical regularities of the world. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.17) | |
| A reaction: The 'blank slate' is an exaggeration. The mind at least has the tools to make associations. He tries to make it sound implausible, but the word 'extrapolates' contains a wealth of possibilities that could build into a plausible theory. |
| 2508 | The function of a mind is obvious [Fodor] |
| Full Idea: Like hands, you don't have to know how the mind evolved to make a pretty shrewd guess at what it's for; for example, that it's to think with. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.17) | |
| A reaction: I like this. This is one of the basic facts of philosophy of mind, and it frequently gets lost in the fog. It is obvious that the components of the mind (say, experience and intentionality) will be better understood if their function is remembered. |
| 2485 | Do intentional states explain our behaviour? [Fodor] |
| Full Idea: Intentional Realism is the idea that our intentional mental states causally explain our behaviour; so holistic semantics (which says no two people have the same intentional states, or share generalisations) is irrealistic about intentional mental states. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 6) | |
| A reaction: ...presumably because two people CAN have the same behaviour. The key question would be whether the intentional states have to be conscious. |
| 2506 | If I have a set of mental modules, someone had better be in charge of them! [Fodor] |
| Full Idea: If there is a community of computers living in my head, there had also better be somebody who is in charge; and, by God, it had better be me. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.17) | |
| A reaction: Dennett quotes this as a quaintly old-fashioned view. I agree quite strongly with Fodor, for reasons that Dennett should like - evolutionary ones. A mind is a useless tool without central co-ordination. What makes my long-term plans? It isn't anarchy! |
| 2467 | Functionalists see pains as properties involving relations and causation [Fodor] |
| Full Idea: Functionalists claim that pains and the like are higher-order, relational properties that things have in virtue of the pattern of causal interactions that they (can or do) enter into. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 2) | |
| A reaction: The whole idea of a property being purely 'relational' strikes me as dubious (or even nonsense). "Is north of" is a relation, but it is totally derived from more basical physical geographical properties. |
| 2489 | Why bother with neurons? You don't explain bird flight by examining feathers [Fodor] |
| Full Idea: Compare Churchland's strategy rooted in neurological modelling with "if it's flight you want to understand, what you need to look at is feathers". | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 8) | |
| A reaction: Sounds good, but may be a false analogy. You learn a lot about snake movement if you examine their scales. |
| 2468 | Type physicalism is a stronger claim than token physicalism [Fodor] |
| Full Idea: "Type" physicalism is supposed, by general consensus, to be stronger than "token" physicalism; stronger, that is, than the mere claim that all mental states are necessarily physically instantiated. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 2) | |
| A reaction: Such philosopher's terminology always seems cut-and-dried, until you ask exactly what is identical to what. The word 'type' is a very broad concept. Are trees the same type of thing as roses? A thought always requires the same 'type' of brain event? |
| 2490 | Modern connectionism is just Hume's theory of the 'association' of 'ideas' [Fodor] |
| Full Idea: Churchland is pushing a version of connectionism ….in which if you think of the elements as "ideas" and call the connections between them "associations", you've got a psychology that is no great advance on David Hume. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 8) | |
| A reaction: See Fodor's book 'Humean Variations' on how Hume should be improved. This idea strikes me as important for understanding Hume, who is very reticent about what his real views are on the mind. |
| 2476 | The goal of thought is to understand the world, not instantly sort it into conceptual categories [Fodor] |
| Full Idea: The question whether there are recognitional concepts is really the question what thought is for - for directing action, or for discerning truth. And Descartes was right on this: the goal of thought is to understand the world, not to sort it. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 4) |
| 23300 | Aristotle and the Stoics denied rationality to animals, while Platonists affirmed it [Aristotle, by Sorabji] |
| Full Idea: Aristotle, and also the Stoics, denied rationality to animals. …The Platonists, the Pythagoreans, and some more independent Aristotelians, did grant reason and intellect to animals. | |
| From: report of Aristotle (works [c.330 BCE]) by Richard Sorabji - Rationality 'Denial' | |
| A reaction: This is not the same as affirming or denying their consciousness. The debate depends on how rationality is conceived. |
| 2499 | Modules analyse stimuli, they don't tell you what to do [Fodor] |
| Full Idea: The thinking involved in "figuring out" what to do is a quite different kind of mental process than the stimulus analysis that modules perform. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.13) | |
| A reaction: My PA theory fits this perfectly. My inner assistant keeps providing information about needs, duties etc., but takes no part in my decisions. Psychology must include the Will. |
| 2509 | Modules have in-built specialist information [Fodor] |
| Full Idea: Modules contain lots of specialized information about the problem domains that they compute in. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.17) | |
| A reaction: At this point we must be cautious about modularity. I doubt whether 'information' is the right word. I think 'specialized procedures' might make more sense. |
| 2491 | Modules have encapsulation, inaccessibility, private concepts, innateness [Fodor] |
| Full Idea: The four essential properties of modules are: encapsulation (information doesn't flow, as in the persistence of illusions); inaccessibility (unreportable); domain specificity (they have private concepts); innateness (genetically preprogrammed). | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.11) | |
| A reaction: If they have no information flow, and are unreportable and private, this makes empirical testing of Fodor's hypothesis a little tricky. He must be on to something, though. |
| 2497 | Something must take an overview of the modules [Fodor] |
| Full Idea: It is not plausible that the mind could be made only of modules; one does sometimes manage to balance one's checkbook, and there can't be an innate, specialized intelligence for doing that. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.13) | |
| A reaction: I agree strongly with this. My own mind strikes me as being highly modular, but as long as I am aware of the output of the modules, I can pass judgement. The judger is more than a 'module'. |
| 2495 | Obvious modules are language and commonsense explanation [Fodor] |
| Full Idea: The best candidates for the status of mental modules are language (the first one, put there by Chomsky), commonsense biology, commonsense physics, commonsense psychology, and aspects of visual form perception. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.13) | |
| A reaction: My favourite higher level module is my Personal Assistant, who keeps nagging me to do sundry things, only some of which I agree to. It is an innate superego, but still a servant of the Self. |
| 2498 | Modules make the world manageable [Fodor] |
| Full Idea: Modules function to present the world to thought under descriptions that are germane to the success of behaviour. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.13) | |
| A reaction: "Descriptions" might be a bold word to use about something so obscure, but this pinpoints the evolutionary nature of modularity theory, to which I subscribe. |
| 2500 | Babies talk in consistent patterns [Fodor] |
| Full Idea: "Who Mummy love?" is recognizably baby talk; but "love Mummy who?" is not. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.14) | |
| A reaction: Not convincing. If she is embracing Daddy, and asking baby, she might get the answer "Daddy", after a bit of coaxing. Who knows what babies up the Amazon respond to? |
| 2496 | Blindness doesn't destroy spatial concepts [Fodor] |
| Full Idea: Blind children are not, in general, linguistically impaired; not even in their talk about space. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.13) | |
| A reaction: This is offered to demonstrate that spatial concepts are innate, even in the blind. But then we would expect anyone who has to move in space to develop spatial concepts from experience. |
| 2507 | Rationality rises above modules [Fodor] |
| Full Idea: Probably, modular computation doesn't explain how minds are rational; it's just a sort of precursor. You work through it to get a view of how horribly hard our rationality is to understand. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.17) | |
| A reaction: The choice is between a Self which weighs and judges the inputs, or merely decisions that automatically result from the balance of inputs. The latter seems unlikely. Vetoes are essential. |
| 2480 | Language is ambiguous, but thought isn't [Fodor] |
| Full Idea: Thinking can't just be in sequences of English words since, notoriously, thought needs to be ambiguity-free in ways that mere word sequences are not. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 6) | |
| A reaction: I think this is a strong argument in favour of (at least) propositions. Thoughts are unambiguous, but their expression need not be. Sentences could be expanded to achieve clarity. |
| 2487 | Mentalese may also incorporate some natural language [Fodor] |
| Full Idea: I don't think it is true that all thought is in Mentalese. It is quite likely (e.g. in arithmetic algorithms) that Mentalese co-opts bits of natural language. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 6) | |
| A reaction: Presumably language itself would have to be coded in mentalese. If there is some other way for thought to work, the whole mind could use it, and skip mentalese. |
| 2483 | Mentalese doesn't require a theory of meaning [Fodor] |
| Full Idea: Mentalese doesn't need Grice's theory of natural-language meaning, or indeed any theory of natural-language meaning whatsoever. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 6) | |
| A reaction: Presumably what is represented by mentalese is a quite separate question from whether there exists a mentalese that does some sort of representing. Sounds plausible. |
| 2486 | Content can't be causal role, because causal role is decided by content [Fodor] |
| Full Idea: Functional role semantics wants to analyze the content of a belief in terms of its inferential (causal) relations; but that seems the wrong way round. The content of a belief determines its causal role. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 6) | |
| A reaction: This is one of my favourite ideas, which keeps coming to mind when considering functional accounts of mental life. The buck of explanation must, however, stop somewhere. |
| 8715 | Infinities expand the bounds of the conceivable; we explore concepts to explore conceivability [Cantor, by Friend] |
| Full Idea: Cantor (in his exploration of infinities) pushed the bounds of conceivability further than anyone before him. To discover what is conceivable, we have to enquire into the concept. | |
| From: report of George Cantor (works [1880]) by Michèle Friend - Introducing the Philosophy of Mathematics 6.5 | |
| A reaction: This remark comes during a discussion of Husserl's phenomenology. Intuitionists challenge Cantor's claim, and restrict what is conceivable to what is provable. Does possibility depend on conceivability? |
| 2492 | Experience can't explain itself; the concepts needed must originate outside experience [Fodor] |
| Full Idea: Experience can't explain itself; eventually, some of the concepts that explaining experience requires have to come from outside it. Eventually, some of them have to be built in. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch.12) |
| 2471 | Are concepts best seen as capacities? [Fodor] |
| Full Idea: Virtually all modern theorists about philosophy, mind or language tend to agree that concepts are capacities, in particular concepts are epistemic capacities. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 3) | |
| A reaction: This view seems to describe concepts in functional terms, which generates my perennial question: what is it about concepts that enables them to fulfil that particular role? |
| 2472 | For Pragmatists having a concept means being able to do something [Fodor] |
| Full Idea: It's a paradigmatically Pragmatist idea that having a concept consists in being able to do something. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 3) | |
| A reaction: If you defined a bicycle simply by what you could do with it, you wouldn't explain much. I wonder if pragmatism and functionalism come from the same intellectual stable? |
| 13454 | Cantor says (vaguely) that we abstract numbers from equal sized sets [Hart,WD on Cantor] |
| Full Idea: Cantor thought that we abstract a number as something common to all and only those sets any one of which has as many members as any other. ...However one wants to see the logic of the inference. The irony is that set theory lays out this logic. | |
| From: comment on George Cantor (works [1880]) by William D. Hart - The Evolution of Logic 1 | |
| A reaction: The logic Hart has in mind is the notion of an equivalence relation between sets. This idea sums up the older and more modern concepts of abstraction, the first as psychological, the second as logical (or trying very hard to be!). Cf Idea 9145. |
| 2482 | It seems unlikely that meaning can be reduced to communicative intentions, or any mental states [Fodor] |
| Full Idea: Nobody now thinks that the reduction of the meaning of English sentences to facts about the communicative intentions of English speakers - or to any facts about mental states - is likely to go through. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 6) | |
| A reaction: Most attempts at 'reduction' of meaning seem to go rather badly. I assume it would be very difficult to characterise 'intentions' without implicit reference to meaning. |
| 2477 | If to understand "fish" you must know facts about them, where does that end? [Fodor] |
| Full Idea: If learning that fish typically live in streams is part of learning "fish", typical utterances of "pet fish" (living in bowls) are counterexamples. This argument iterates (e.g "big pet fish"). So learning where they live can't be part of learning "fish". | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 5) | |
| A reaction: Using 'typical' twice is rather misleading here. Town folk can learn 'fish' as typically living in bowls. There is no one way to learn a word meaning. |
| 11240 | The notion of analytic truth is absent in Aristotle [Aristotle, by Politis] |
| Full Idea: The notion of analytic truth is conspicuously absent in Aristotle. | |
| From: report of Aristotle (works [c.330 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 1.5 | |
| A reaction: Cf. Idea 11239. |
| 2473 | Analysis is impossible without the analytic/synthetic distinction [Fodor] |
| Full Idea: If there is no analytic/synthetic distinction then there are no analyses. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 3) | |
| A reaction: There are no precise analyses. I see no reason why a holistic view of language prohibits the careful elucidation of key concepts in the system. It's just a bit fluid. |
| 2484 | The theory of the content of thought as 'Mentalese' explains why the Private Language Argument doesn't work [Fodor] |
| Full Idea: If the Mentalese story about the content of thought is true, then there couldn't be a Private Language Argument. Good. That explains why there isn't one. | |
| From: Jerry A. Fodor (In a Critical Condition [2000], Ch. 6) | |
| A reaction: Presumably Mentalese implies that all language is, in the first instance, intrinsically private. Dogs, for example, need Mentalese, since they self-evidently think. |
| 6559 | Aristotle never actually says that man is a rational animal [Aristotle, by Fogelin] |
| Full Idea: To the best of my knowledge (and somewhat to my surprise), Aristotle never actually says that man is a rational animal; however, he all but says it. | |
| From: report of Aristotle (works [c.330 BCE]) by Robert Fogelin - Walking the Tightrope of Reason Ch.1 | |
| A reaction: When I read this I thought that this database would prove Fogelin wrong, but it actually supports him, as I can't find it in Aristotle either. Descartes refers to it in Med.Two. In Idea 5133 Aristotle does say that man is a 'social being'. But 22586! |
| 11150 | It is the mark of an educated mind to be able to entertain an idea without accepting it [Aristotle] |
| Full Idea: It is the mark of an educated mind to be able to entertain an idea without accepting it. | |
| From: Aristotle (works [c.330 BCE]) | |
| A reaction: The epigraph on a David Chalmers website. A wonderful remark, and it should be on the wall of every beginners' philosophy class. However, while it is in the spirit of Aristotle, it appears to be a misattribution with no ancient provenance. |
| 3037 | Aristotle said the educated were superior to the uneducated as the living are to the dead [Aristotle, by Diog. Laertius] |
| Full Idea: Aristotle was asked how much educated men were superior to those uneducated; "As much," he said, "as the living are to the dead." | |
| From: report of Aristotle (works [c.330 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 05.1.11 |
| 8660 | There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend] |
| Full Idea: Aristotle developed his own distinction between potential infinity (never running out) and actual infinity (there being a collection of an actual infinite number of things, such as places, times, objects). He decided that actual infinity was incoherent. | |
| From: report of Aristotle (works [c.330 BCE]) by Michèle Friend - Introducing the Philosophy of Mathematics 1.3 | |
| A reaction: Friend argues, plausibly, that this won't do, since potential infinity doesn't make much sense if there is not an actual infinity of things to supply the demand. It seems to just illustrate how boggling and uncongenial infinity was to Aristotle. |
| 12058 | Aristotle's matter can become any other kind of matter [Aristotle, by Wiggins] |
| Full Idea: Aristotle's conception of matter permits any kind of matter to become any other kind of matter. | |
| From: report of Aristotle (works [c.330 BCE]) by David Wiggins - Substance 4.11.2 | |
| A reaction: This is obviously crucial background information when we read Aristotle on matter. Our 92+ elements, and fixed fundamental particles, gives a quite different picture. Aristotle would discuss form and matter quite differently now. |
| 10863 | Cantor proved that three dimensions have the same number of points as one dimension [Cantor, by Clegg] |
| Full Idea: Cantor proved that one-dimensional space has exactly the same number of points as does two dimensions, or our familiar three-dimensional space. | |
| From: report of George Cantor (works [1880]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.14 |
| 13465 | Only God is absolutely infinite [Cantor, by Hart,WD] |
| Full Idea: Cantor said that only God is absolutely infinite. | |
| From: report of George Cantor (works [1880]) by William D. Hart - The Evolution of Logic 1 | |
| A reaction: We are used to the austere 'God of the philosophers', but this gives us an even more austere 'God of the mathematicians'. |
| 22729 | The concepts of gods arose from observing the soul, and the cosmos [Aristotle, by Sext.Empiricus] |
| Full Idea: Aristotle said that the conception of gods arose among mankind from two originating causes, namely from events which concern the soul and from celestial phenomena. | |
| From: report of Aristotle (works [c.330 BCE], Frag 10) by Sextus Empiricus - Against the Physicists (two books) I.20 | |
| A reaction: The cosmos suggests order, and possible creation. What do events of the soul suggest? It doesn't seem to be its non-physical nature, because Aristotle is more of a functionalist. Puzzling. (It says later that gods are like the soul). |