107 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. |
| 12644 | Who cares what 'philosophy' is? Most pre-1950 thought doesn't now count as philosophy [Fodor] |
| Full Idea: Who cares what gets called 'philosophy'? It's my impression that most of what happened in philosophy before 1950 wouldn't qualify according to the present usage. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.5) | |
| A reaction: A rather breath-taking remark. Fodor is, of course, a devotee of David Hume, and of Descartes, but he never seems to refer to Greeks at all. Personally I presume that if you aren't doing what Plato and Aristotle were interested in, it ain't philosophy. |
| 12633 | Definitions often give necessary but not sufficient conditions for an extension [Fodor] |
| Full Idea: Attempts to define a term frequently elicit necessary but not sufficient conditions for membership of its extension. This is called the 'X problem', as in 'kill' means 'cause to die' plus X. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.2.1 n3) | |
| A reaction: Fodor is one of the great sceptics about definition. I just don't see why we have to have totally successful definitions before we can accept the process as a worthwhile endeavour. |
| 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 |
| 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? |
| 9955 | Contextual definitions replace a complete sentence containing the expression [George/Velleman] |
| Full Idea: A contextual definition shows how to analyse an expression in situ, by replacing a complete sentence (of a particular form) in which the expression occurs by another in which it does not. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.2) | |
| A reaction: This is a controversial procedure, which (according to Dummett) Frege originally accepted, and later rejected. It might not be the perfect definition that replacing just the expression would give you, but it is a promising step. |
| 10031 | Impredicative definitions quantify over the thing being defined [George/Velleman] |
| Full Idea: When a definition contains a quantifier whose range includes the very entity being defined, the definition is said to be 'impredicative'. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.2) | |
| A reaction: Presumably they are 'impredicative' because they do not predicate a new quality in the definiens, but make use of the qualities already known. |
| 10098 | The 'power set' of A is all the subsets of A [George/Velleman] |
| Full Idea: The 'power set' of A is all the subsets of A. P(A) = {B : B ⊆ A}. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10099 | The 'ordered pair' <a, b>, for two sets a and b, is the set {{a, b},{a}} [George/Velleman] |
| Full Idea: The 'ordered pair' <a, b>, for two sets a and b, is the set {{a, b},{a}}. The existence of this set is guaranteed by three applications of the Axiom of Pairing. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: See Idea 10100 for the Axiom of Pairing. |
| 10101 |
Cartesian Product A x B: the set of all ordered pairs |
| Full Idea: The 'Cartesian Product' of any two sets A and B is the set of all ordered pairs <a, b> in which a ∈ A and b ∈ B, and it is denoted as A x B. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10103 | Grouping by property is common in mathematics, usually using equivalence [George/Velleman] |
| Full Idea: The idea of grouping together objects that share some property is a common one in mathematics, ...and the technique most often involves the use of equivalence relations. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10104 | 'Equivalence' is a reflexive, symmetric and transitive relation; 'same first letter' partitions English words [George/Velleman] |
| Full Idea: A relation is an equivalence relation if it is reflexive, symmetric and transitive. The 'same first letter' is an equivalence relation on the set of English words. Any relation that puts a partition into clusters will be equivalence - and vice versa. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This is a key concept in the Fregean strategy for defining numbers. |
| 10096 | Even the elements of sets in ZFC are sets, resting on the pure empty set [George/Velleman] |
| Full Idea: ZFC is a theory concerned only with sets. Even the elements of all of the sets studied in ZFC are also sets (whose elements are also sets, and so on). This rests on one clearly pure set, the empty set Φ. ..Mathematics only needs pure sets. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This makes ZFC a much more metaphysically comfortable way to think about sets, because it can be viewed entirely formally. It is rather hard to disentangle a chair from the singleton set of that chair. |
| 10097 | Axiom of Extensionality: for all sets x and y, if x and y have the same elements then x = y [George/Velleman] |
| Full Idea: The Axiom of Extensionality says that for all sets x and y, if x and y have the same elements then x = y. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This seems fine in pure set theory, but hits the problem of renates and cordates in the real world. The elements coincide, but the axiom can't tell you why they coincide. |
| 10100 | Axiom of Pairing: for all sets x and y, there is a set z containing just x and y [George/Velleman] |
| Full Idea: The Axiom of Pairing says that for all sets x and y, there is a set z containing x and y, and nothing else. In symbols: ∀x∀y∃z∀w(w ∈ z ↔ (w = x ∨ w = y)). | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: See Idea 10099 for an application of this axiom. |
| 17900 | The Axiom of Reducibility made impredicative definitions possible [George/Velleman] |
| Full Idea: The Axiom of Reducibility ...had the effect of making impredicative definitions possible. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10109 | ZFC can prove that there is no set corresponding to the concept 'set' [George/Velleman] |
| Full Idea: Sets, unlike extensions, fail to correspond to all concepts. We can prove in ZFC that there is no set corresponding to the concept 'set' - that is, there is no set of all sets. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.4) | |
| A reaction: This is rather an important point for Frege. However, all concepts have extensions, but they may be proper classes, rather than precisely defined sets. |
| 10108 | As a reduction of arithmetic, set theory is not fully general, and so not logical [George/Velleman] |
| Full Idea: The problem with reducing arithmetic to ZFC is not that this theory is inconsistent (as far as we know it is not), but rather that is not completely general, and for this reason not logical. For example, it asserts the existence of sets. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.4) | |
| A reaction: Note that ZFC has not been proved consistent. |
| 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. |
| 10111 | Asserting Excluded Middle is a hallmark of realism about the natural world [George/Velleman] |
| Full Idea: A hallmark of our realist stance towards the natural world is that we are prepared to assert the Law of Excluded Middle for all statements about it. For all statements S, either S is true, or not-S is true. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.4) | |
| A reaction: Personally I firmly subscribe to realism, so I suppose I must subscribe to Excluded Middle. ...Provided the statement is properly formulated. Or does liking excluded middle lead me to realism? |
| 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. |
| 12664 | A truth-table, not inferential role, defines 'and' [Fodor] |
| Full Idea: I'm inclined to think that 'and' is defined by its truth-table (and not, for example, by its 'inferential-role'). | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.7) | |
| A reaction: Sounds right, on my general principle that something can only have a function if it has an intrinsic nature. The truth-table just formalises normal understanding of 'and', according to what it makes true. |
| 12648 | Names in thought afford a primitive way to bring John before the mind [Fodor] |
| Full Idea: Names in thought (in contrast to, say, descriptions in thought) afford a primitive way of bringing John before the mind. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3 App) | |
| A reaction: I think the 'file' account of concepts which Fodor has now latched onto gives a wonderful account of names. They are simple if you haven't opened the file yet (like 'Louis', in Evans's example). |
| 12650 | 'Paderewski' has two names in mentalese, for his pianist file and his politician file [Fodor] |
| Full Idea: Paderewski (as pianist and as politician) has two names in Mentalese. If you think there are two Paderewskis, it's important that what you get when you retrieve the pianist file differs from the politician file. You can then merge the two files. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3 App) | |
| A reaction: The same will apply to 'Hespherus' and 'Phosphorus'. We can re-separate the 'morning star' and 'evening star' files if we wish to discuss ancient Egyptian attitudes to such things. I love this idea of Fodor's. Explanations flow from it. |
| 10129 | A 'model' is a meaning-assignment which makes all the axioms true [George/Velleman] |
| Full Idea: A 'model' of a theory is an assignment of meanings to the symbols of its language which makes all of its axioms come out true. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) | |
| A reaction: If the axioms are all true, and the theory is sound, then all of the theorems will also come out true. |
| 10105 | Differences between isomorphic structures seem unimportant [George/Velleman] |
| Full Idea: Mathematicians tend to regard the differences between isomorphic mathematical structures as unimportant. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This seems to be a pointer towards Structuralism as the underlying story in mathematics. The intrinsic character of so-called 'objects' seems unimportant. How theories map onto one another (and onto the world?) is all that matters? |
| 12656 | P-and-Q gets its truth from the truth of P and truth of Q, but consistency isn't like that [Fodor] |
| Full Idea: The truth of P-and-Q is (roughly) a function of the truth of P and the truth of Q; but the consistency of P&Q isn't a function of the consistency of P and the consistency of Q. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.4.5 n33) | |
| A reaction: This is a nice deep issue. Fodor is interested in artificial intelligence at this point, but I am interested in the notion of coherence, as found in good justifications. Even consistency isn't elementary logic, never mind coherence. |
| 10119 | Consistency is a purely syntactic property, unlike the semantic property of soundness [George/Velleman] |
| Full Idea: Consistency is a purely syntactic property, unlike the semantic property of soundness. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) |
| 10126 | A 'consistent' theory cannot contain both a sentence and its negation [George/Velleman] |
| Full Idea: If there is a sentence such that both the sentence and its negation are theorems of a theory, then the theory is 'inconsistent'. Otherwise it is 'consistent'. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) |
| 10120 | Soundness is a semantic property, unlike the purely syntactic property of consistency [George/Velleman] |
| Full Idea: Soundness is a semantic property, unlike the purely syntactic property of consistency. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) |
| 10127 | A 'complete' theory contains either any sentence or its negation [George/Velleman] |
| Full Idea: If there is a sentence such that neither the sentence nor its negation are theorems of a theory, then the theory is 'incomplete'. Otherwise it is 'complete'. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) | |
| A reaction: Interesting questions are raised about undecidable sentences, irrelevant sentences, unknown sentences.... |
| 10106 | Rational numbers give answers to division problems with integers [George/Velleman] |
| Full Idea: We can think of rational numbers as providing answers to division problems involving integers. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Cf. Idea 10102. |
| 10102 | The integers are answers to subtraction problems involving natural numbers [George/Velleman] |
| Full Idea: In defining the integers in set theory, our definition will be motivated by thinking of the integers as answers to subtraction problems involving natural numbers. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Typical of how all of the families of numbers came into existence; they are 'invented' so that we can have answers to problems, even if we can't interpret the answers. It it is money, we may say the minus-number is a 'debt', but is it? Cf Idea 10106. |
| 10107 | Real numbers provide answers to square root problems [George/Velleman] |
| Full Idea: One reason for introducing the real numbers is to provide answers to square root problems. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Presumably the other main reasons is to deal with problems of exact measurement. It is interesting that there seem to be two quite distinct reasons for introducing the reals. Cf. Ideas 10102 and 10106. |
| 9946 | Logicists say mathematics is applicable because it is totally general [George/Velleman] |
| Full Idea: The logicist idea is that if mathematics is logic, and logic is the most general of disciplines, one that applies to all rational thought regardless of its content, then it is not surprising that mathematics is widely applicable. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.2) | |
| A reaction: Frege was keen to emphasise this. You are left wondering why pure logic is applicable to the physical world. The only account I can give is big-time Platonism, or Pythagoreanism. Logic reveals the engine-room of nature, where the design is done. |
| 10125 | The classical mathematician believes the real numbers form an actual set [George/Velleman] |
| Full Idea: Unlike the intuitionist, the classical mathematician believes in an actual set that contains all the real numbers. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) |
| 17899 | Second-order induction is stronger as it covers all concepts, not just first-order definable ones [George/Velleman] |
| Full Idea: The first-order version of the induction axiom is weaker than the second-order, because the latter applies to all concepts, but the first-order applies only to concepts definable by a formula in the first-order language of number theory. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7 n7) |
| 10128 | The Incompleteness proofs use arithmetic to talk about formal arithmetic [George/Velleman] |
| Full Idea: The idea behind the proofs of the Incompleteness Theorems is to use the language of Peano Arithmetic to talk about the formal system of Peano Arithmetic itself. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) | |
| A reaction: The mechanism used is to assign a Gödel Number to every possible formula, so that all reasonings become instances of arithmetic. |
| 17902 | A successor is the union of a set with its singleton [George/Velleman] |
| Full Idea: For any set x, we define the 'successor' of x to be the set S(x) = x U {x}. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This is the Fregean approach to successor, where the Dedekind approach takes 'successor' to be a primitive. Frege 1884:§76. |
| 10133 | Frege's Theorem shows the Peano Postulates can be derived from Hume's Principle [George/Velleman] |
| Full Idea: The derivability of Peano's Postulates from Hume's Principle in second-order logic has been dubbed 'Frege's Theorem', (though Frege would not have been interested, because he didn't think Hume's Principle gave an adequate definition of numebrs). | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.8 n1) | |
| A reaction: Frege said the numbers were the sets which were the extensions of the sets created by Hume's Principle. |
| 10130 | Set theory can prove the Peano Postulates [George/Velleman] |
| Full Idea: The Peano Postulates can be proven in ZFC. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) |
| 10089 | Talk of 'abstract entities' is more a label for the problem than a solution to it [George/Velleman] |
| Full Idea: One might well wonder whether talk of abstract entities is less a solution to the empiricist's problem of how a priori knowledge is possible than it is a label for the problem. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Intro) | |
| A reaction: This pinpoints my view nicely. What the platonist postulates is remote, bewildering, implausible and useless! |
| 10131 | If mathematics is not about particulars, observing particulars must be irrelevant [George/Velleman] |
| Full Idea: As, in the logicist view, mathematics is about nothing particular, it is little wonder that nothing in particular needs to be observed in order to acquire mathematical knowledge. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002]) | |
| A reaction: At the very least we can say that no one would have even dreamt of the general system of arithmetic is they hadn't had experience of the particulars. Frege thought generality ensured applicability, but extreme generality might entail irrelevance. |
| 10092 | In the unramified theory of types, the types are objects, then sets of objects, sets of sets etc. [George/Velleman] |
| Full Idea: In the unramified theory of types, all objects are classified into a hierarchy of types. The lowest level has individual objects that are not sets. Next come sets whose elements are individuals, then sets of sets, etc. Variables are confined to types. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: The objects are Type 0, the basic sets Type 1, etc. |
| 10094 | The theory of types seems to rule out harmless sets as well as paradoxical ones. [George/Velleman] |
| Full Idea: The theory of types seems to rule out harmless sets as well as paradoxical ones. If a is an individual and b is a set of individuals, then in type theory we cannot talk about the set {a,b}. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Since we cheerfully talk about 'Cicero and other Romans', this sounds like a rather disasterous weakness. |
| 10095 | Type theory has only finitely many items at each level, which is a problem for mathematics [George/Velleman] |
| Full Idea: A problem with type theory is that there are only finitely many individuals, and finitely many sets of individuals, and so on. The hierarchy may be infinite, but each level is finite. Mathematics required an axiom asserting infinitely many individuals. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Most accounts of mathematics founder when it comes to infinities. Perhaps we should just reject them? |
| 17901 | Type theory prohibits (oddly) a set containing an individual and a set of individuals [George/Velleman] |
| Full Idea: If a is an individual and b is a set of individuals, then in the theory of types we cannot talk about the set {a,b}, since it is not an individual or a set of individuals, ...but it is hard to see what harm can come from it. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10114 | Bounded quantification is originally finitary, as conjunctions and disjunctions [George/Velleman] |
| Full Idea: In the first instance all bounded quantifications are finitary, for they can be viewed as abbreviations for conjunctions and disjunctions. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) | |
| A reaction: This strikes me as quite good support for finitism. The origin of a concept gives a good guide to what it really means (not a popular view, I admit). When Aristotle started quantifying, I suspect of he thought of lists, not totalities. |
| 10134 | Much infinite mathematics can still be justified finitely [George/Velleman] |
| Full Idea: It is possible to use finitary reasoning to justify a significant part of infinitary mathematics. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.8) | |
| A reaction: This might save Hilbert's project, by gradually accepting into the fold all the parts which have been giving a finitist justification. |
| 10123 | The intuitionists are the idealists of mathematics [George/Velleman] |
| Full Idea: The intuitionists are the idealists of mathematics. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) |
| 10124 | Gödel's First Theorem suggests there are truths which are independent of proof [George/Velleman] |
| Full Idea: For intuitionists, truth is not independent of proof, but this independence is precisely what seems to be suggested by Gödel's First Incompleteness Theorem. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.8) | |
| A reaction: Thus Gödel was worse news for the Intuitionists than he was for Hilbert's Programme. Gödel himself responded by becoming a platonist about his unprovable truths. |
| 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. |
| 12653 | There's statistical, logical, nomological, conceptual and metaphysical possibility [Fodor] |
| Full Idea: Statistically, logically, nomologically, conceptually, and metaphysically possible. That's all the kinds of possibility there are this week, but feel free to add others. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.4.3) | |
| A reaction: There's also epistemic possibility (possibility 'for all I know'), but I suppose that isn't the real thing. How about 'imaginative possibility' (possibility 'as far as I can imagine')? |
| 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. |
| 12651 | Some beliefs are only inferred when needed, like 'Shakespeare had not telephone' [Fodor] |
| Full Idea: Maybe some of your beliefs are inferred 'online' from what you have in your files, along with your inferential rules. 'Shakespeare didn't have a telephone' is a classic example, which we infer if the occasion arises. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3 App) | |
| A reaction: A highly persuasive example. There seem to be a huge swathe of blatantly obvious beliefs (especially negative ones) which may never cross our minds during an entire lifetime, but to which we certainly subscribe. |
| 12628 | Knowing that must come before knowing how [Fodor] |
| Full Idea: Thought about the world is prior to thought about how to change the world. Accordingly, knowing that is prior to knowing how. Descartes was right, and Ryle was wrong. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.1) | |
| A reaction: The classical example is knowing how to ride a bicycle, when few people can explain what is involved. Clearly you need quite a bit of propositional knowledge before you step on a bike. How does Fodor's claim work for animals? |
| 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. |
| 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. |
| 12625 | Pragmatism is the worst idea ever [Fodor] |
| Full Idea: Pragmatism is perhaps the worst idea that philosophy ever had. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.1) | |
| A reaction: Not an argument, but an interesting sign of the times. Most major modern American philosophers, such as Quine, seem to fit some loose label of 'pragmatist'. I always smell a feeble relativism, and a refusal to face the interesting questions. |
| 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. |
| 12636 | Mental states have causal powers [Fodor] |
| Full Idea: Mental states have causal powers. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.2.3) | |
| A reaction: I quote this because it gives you the link between a general account of causal powers as basic to reality, and an active account of what the mind is. It has to be a key link in a decent modern unified account of the world. See Idea 12638. |
| 12661 | The different types of resemblance don't resemble one another [Fodor] |
| Full Idea: The ways in which different kinds of thing are similar to one another aren't, in general, similar to one another. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.5.4) | |
| A reaction: Nice, but I think one would say that they lack similarity at the level of primary thought, but have obvious similarity (as concept-connectors) at the level of meta-thought. |
| 12632 | In the Representational view, concepts play the key linking role [Fodor] |
| Full Idea: If the Representational Theory of Mind is true, then concepts are constituents of beliefs, the units of semantic evaluation, a locus of causal interactions among mental representations, and formulas in Mentalese. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.2.1) | |
| A reaction: I like this aspect of the theory, but then I can't really think of a theory about how the mind works that doesn't make concepts central to it. |
| 12624 | Only the labels of nodes have semantic content in connectionism, and they play no role [Fodor] |
| Full Idea: Connectionism has no truck with mental representations; on the one hand, only the node labels in 'neural networks' have semantic content, and, on the other, the node labels play no role in mental processes, in standard formulations. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.1) | |
| A reaction: Connectionism must have some truth in it, yet mere connections can't do the full job. The difficulty is that nothing else seems to do the 'full job' either. Fodor cites productivity, systematicity, compositionality, logical form as the problems. |
| 12640 | Associative thinking avoids syntax, but can't preserve sense, reference or truth [Fodor] |
| Full Idea: The virtue of associative theories of thinking is that they don't require thoughts to have syntactic structure. But they can't be right, since association doesn't preserve either sense or reference (to say nothing of truth). | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.3 n28) | |
| A reaction: This is using the empiricist idea that knowledge is built from mechanical associations to give a complete account of what thinking is. Fodor resolutely opposes it. |
| 12641 | Connectionism gives no account of how constituents make complex concepts [Fodor] |
| Full Idea: Connectionist architectures provide no counterpart to the relation between a complex concept and its constituents. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.3 n29) | |
| A reaction: This is the compositionality of thought, upon which Fodor is so insistent. Not that a theory of how the mind is built up from the body is quite likely to give you a theory about what thinking is. I try to keep them separate, which may be wrong. |
| 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. |
| 12643 | Ambiguities in English are the classic reason for claiming that we don't think in English [Fodor] |
| Full Idea: That there are ambiguities in English is the classic reason for claiming that we don't think in English. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.5) | |
| A reaction: I have always been impressed by this simple observation, which is my main reason for believing in propositions (as brain events). 'Propositions' may just be useful chunks of mentalese. |
| 12647 | Mental representations name things in the world, but also files in our memory [Fodor] |
| Full Idea: Mental representations can serve both as names for things in the world and as names of files in the memory. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3 App) | |
| A reaction: I am laughed at for liking this idea (given the present files of ideas before you), but I think this it is very powerful. Chicken before egg. I was drawn to databases precisely because they seemed to map how the mind worked. |
| 12649 | We think in file names [Fodor] |
| Full Idea: We think in file names. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3 App) | |
| A reaction: This is Fodor's new view. He cites Treisman and Schmidt (1982) for raising it, and Pylyshyn (2003) for discussing it. I love it. It exactly fits my introspective view of how I think, and I think it would fit animals. It might not fit some other people! |
| 12655 | Frame Problem: how to eliminate most beliefs as irrelevant, without searching them? [Fodor] |
| Full Idea: The frame problem is, precisely: How does one know that none of one's beliefs about Jupiter are germane to the current question, without having to recall and search one's beliefs about Jupiter? | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.4.4) | |
| A reaction: Presumably good chess-playing computers have made some progress with this problem. The only answer, as far as I can see, is that brains have a lot in common with relational databases. The mind is structured around a relevance-pattern. |
| 12630 | If concept content is reference, then my Twin and I are referring to the same stuff [Fodor] |
| Full Idea: If the content of a concept is its reference, we can stop worrying about Twin Earth. If there are no senses, there is no question of whether my twin and I have the same WATER concept. Our WATER concepts aren't even coextensive. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.1) | |
| A reaction: This seems like a neat solution. So do 'tap water' and 'holy water' have the same content to a Christian and non-Christian, when they co-refer to the contents of the font? |
| 10110 | Corresponding to every concept there is a class (some of them sets) [George/Velleman] |
| Full Idea: Corresponding to every concept there is a class (some classes will be sets, the others proper classes). | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.4) |
| 12658 | Nobody knows how concepts are acquired [Fodor] |
| Full Idea: I don't know how concepts are acquired. Nor do you. Nor does anybody else. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.5.4) | |
| A reaction: This comes in the context of quietly modifying his earlier claim that concepts weren't acquired, because they were largely innate. Presumably we are allowed to have theories of concept acquisition? I quite like abstractionism. |
| 12662 | We have an innate capacity to form a concept, once we have grasped the stereotype [Fodor] |
| Full Idea: What's learned are stereotypes. What's innate is the disposition to grasp such and such a concept (to lock to such a property) in consequence of having learned such and such a stereotype. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.5.4) | |
| A reaction: This is the late Fodor much ameliorated view, after a lot of scoffing about the idea of the tin-opener being innate in all of us. There may be a suspicion of circularity here, if we ask what mental abilities are needed to form a stereotype. |
| 12635 | Having a concept isn't a pragmatic matter, but being able to think about the concept [Fodor] |
| Full Idea: Pragmatism about concepts really is dead, and the only alternative about concept possession is Cartesianism. That is, it's the thesis that having concept C is being able to think about Cs (as such). | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.2.2) | |
| A reaction: I like this. It is very hard to pick out from Fodor the bits where he is clearly right, but this seems to be one of them. I don't like the pragmatic or Wittgensteinian line that having concepts is all about abilities and uses (like sorting or inferring). |
| 12652 | Concepts have two sides; they are files that face thought, and also face subject-matter [Fodor] |
| Full Idea: We think in file names, and file names are Janus-faced: one face turned towards thinking and the other face turned towards what is thought about. I do think that is rather satisfactory. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3 App) | |
| A reaction: So do I. I do hope the philosophical community take up this idea (which they probably won't, simply because Fodor is in the late stages of his career!). |
| 12626 | Cartesians put concept individuation before concept possession [Fodor] |
| Full Idea: Cartesians think that concept individuation is prior, in order of analysis, to concept possession. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.12) | |
| A reaction: Peacocke is someone who seems to put possession first, to the point where individuation is thereby achieved. The background influence there is Wittgenstein. I think I am more with Fodor, that concepts are entities, which need to be understood. |
| 12637 | Frege's puzzles suggest to many that concepts have sense as well as reference [Fodor] |
| Full Idea: Philosophers in droves have held that Frege cases are convincing arguments that concepts have not just referents but also senses. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.2) | |
| A reaction: [Frege cases are puzzles where simple reference seems to lead to confusion] I take the Fregean approach to concepts (of Dummett, Peacocke) to attempt to give an account of the sense, once the reference is decided. Idea 12629 gives Fodor's view. |
| 12638 | If concepts have sense, we can't see the connection to their causal powers [Fodor] |
| Full Idea: How are we to understand the connection between the identity of a concept and its causal powers if concepts are (or have) senses? Answer: I haven't a clue. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.3) | |
| A reaction: This seems to be the key to Fodor's attack on Peacocke and other Fregeans - that while they pay lip-service to the project of naturalising thought, they are actually committing us to some sort of neo-platonism, by losing the causal links. See Idea 12636. |
| 12639 | Belief in 'senses' may explain intentionality, but not mental processes [Fodor] |
| Full Idea: Supposing the mind to be conversant with senses can, maybe, provide for a theory of the intentionality of mental states; but it seems to shed no light at all on the nature of mental processes (i.e. of mental state transitions). | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.3) | |
| A reaction: I would track this back to Frege's hostility to 'psychologism'. That is, Fregeans don't care about Fodor's problem, because all their accounts (of mathematics, of logic, and of concepts) treat the subject-matter as self-contained sui generis. |
| 12654 | You can't think 'brown dog' without thinking 'brown' and 'dog' [Fodor] |
| Full Idea: You can think 'brown dog' without thinking 'cat', but you can't think 'brown dog' without thinking 'brown' and 'dog'. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.4.3) | |
| A reaction: Fodor is talking about concepts in thought, not about words. The claim is that such concepts have to be compositional, and it is hard to disagree. |
| 12659 | Maybe stereotypes are a stage in concept acquisition (rather than a by-product) [Fodor] |
| Full Idea: We needn't say that learning a stereotype is just a by-product of acquiring the concept; it could rather be a stage in concept acquisition. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.5.4) | |
| A reaction: He rejects stereotypes because they don't give concepts the necessary compositionality in thought. But this idea would mean that children were incapable of compositionality until they had transcended the primitive stereotype stage. |
| 12660 | One stereotype might be a paradigm for two difference concepts [Fodor] |
| Full Idea: The same stereotype can give difference concepts; chickens are paradigmatic instances both of FOOD and of BARNYARD FOWL. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.5.4) | |
| A reaction: And I'm guessing that lots of concepts could have two equally plausible stereotypes, even within a single mind. Stereotypes are interesting, but they don't seem to be the key to our understanding of concepts. |
| 12629 | For the referential view of thought, the content of a concept is just its reference [Fodor] |
| Full Idea: Pure referentialism is the kind of semantics RTM requires (reference is the only primitive mind-world semantic property). ...So the content of a concept is its reference. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.1) | |
| A reaction: This seems to say that the meaning of a concept is (typically) a physical object, which seems to be the 'Fido'-Fido view of meaning. It seems to me to be a category mistake to say that a meaning can be a cat. |
| 12631 | Compositionality requires that concepts be atomic [Fodor] |
| Full Idea: Atomism must be right about the individuation of concepts because compositionality demands it. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch1) | |
| A reaction: I suppose this seems right, though Fodor's own example of 'pet fish' is interesting. What is supposed to happen when you take a concept like 'pet' and put it with 'fish', given that both components shift their atomic (?) meaning in the process? |
| 12657 | Abstractionism claims that instances provide criteria for what is shared [Fodor] |
| Full Idea: In the idea of learning concepts by 'abstraction', experiences of the instances provide evidence about which of the shared properties of things in a concept's extension are 'criterial' for being in the concept's extension. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.5.2 n6) | |
| A reaction: Fodor is fairly sceptical of this approach, and his doubts are seen in the scare-quotes around 'criterial'. He is defending the idea that only a certain degree of innateness in the concepts can get such a procedure off the ground. |
| 12634 | 'Inferential-role semantics' says meaning is determined by role in inference [Fodor] |
| Full Idea: 'Inferential-role semantics' claims that the meaning of a word (/the content of a concept) is determined by its role in inference. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.2.1.2 n14) | |
| A reaction: Fodor is deeply opposed to this view. At first blush it sounds wrong to me, since there seems to be plenty of thought that can go on before inference takes place. Daydreamy speculation, for example. |
| 12642 | Co-referring terms differ if they have different causal powers [Fodor] |
| Full Idea: The representation of 'morning star' must be different from 'evening star' because their tokens differ in their causal powers. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.3) | |
| A reaction: This is Fodor trying to avoid the standard Fregean move of proposing that there are 'senses' as well as references. See Idea 12629. If these two terms have the same extension, they are the same concept? They 'seem' to have two referents. |
| 12663 | We refer to individuals and to properties, and we use singular terms and predicates [Fodor] |
| Full Idea: I assume that there are two kinds of reference: reference to individuals and to properties. This means, from the syntactic point of view, that the vehicles of reference are exhaustively singular terms and predicates. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.7) | |
| A reaction: The immediate possibility that comes to mind is plural quantification. See George Boolos, who confidently says that he can refer to 'some Cheerios' in his breakfast bowl, and communicate very well. He then looks to formalise such talk. |
| 12645 | Semantics (esp. referential semantics) allows inferences from utterances to the world [Fodor] |
| Full Idea: All you need for inferring from John's utterance to the world is the sort of thing that a semantics (i.e. referential semantics) provides. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.5) | |
| A reaction: Fodor is very good at saying nice simple things like that. But it is not enough to infer what objects are being discussed. All the hard cases must be covered (denials of existence, reference to non-existence, intentional contexts, modal claims). |
| 12646 | Semantics relates to the world, so it is never just psychological [Fodor] |
| Full Idea: Semantics is about constitutive relations between representations and the world. There is, as a matter of principle, no such thing as a psychological theory of meaning. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.3.5) | |
| A reaction: The second sentence is in capital letters, but I am still not convinced. The classic difficulty seems to be that you have to use language to pick out the things in the world that are being referred to. Of course, at some point you just see the objects. |
| 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. |
| 12627 | Before you can plan action, you must decide on the truth of your estimate of success [Fodor] |
| Full Idea: You can't think a plan of action unless you can think how the world would be if the action were to succeed; and thinking the world will be such and such if all goes well is thinking the kind of thing that can be true or false. | |
| From: Jerry A. Fodor (LOT 2 [2008], Ch.1) | |
| A reaction: This is part of Fodor's attack on the pragmatic view of concepts (that they should be fully understood in terms of action, rather than of thought). I take Fodor to be blatantly correct. This is counterfactual thinking. |
| 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 Michčle 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. |
| 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). |