23 ideas
| 12619 | We have no successful definitions, because they all use indefinable words [Fodor] |
| Full Idea: There are practically no defensible examples of definitions; for all the examples we've got, practically all the words (/concepts) are undefinable. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.3) | |
| A reaction: I don't think a definition has to be defined all the way down. Aristotle is perfectly happy if you can get a concept you don't understand down to concepts you do. Understanding is the test, not further definitions. |
| 17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
| Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro) |
| 17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
| Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1) |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
| Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3) |
| 17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
| Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable). | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4) | |
| A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway] |
| 17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
| Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem]. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1) | |
| A reaction: Each expansion brings a limitation, but then you can expand again. |
| 17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
| Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4) |
| 12620 | If 'exist' is ambiguous in 'chairs and numbers exist', that mirrors the difference between chairs and numbers [Fodor] |
| Full Idea: People say 'exist' is ambiguous, because of the difference between 'chairs exist' and 'numbers exist'. A reply goes: the difference between the existence of chairs and the existence of numbers is strikingly like the difference between chairs and numbers. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.3) | |
| A reaction: To say 'numbers are objects which exist' is, to me, either a funny use of 'exist' or a funny use of 'object'. I think I will now vote for the latter. Just as 'real number' was a funny use of 'number', but we seem to have got used to it. |
| 12613 | Empiricists use dispositions reductively, as 'possibility of sensation' or 'possibility of experimental result' [Fodor] |
| Full Idea: Using dispositional analyses in aid of ontological reductions is what empiricism taught us. If you are down on cats, reduce them to permanent possibilities of sensation; if you are down on electrons, reduce them to possibilities of experimental outcome. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1) | |
| A reaction: The cats line is phenomenalism; the electrons line is instrumentalism. I like this as a serious warning about dispositions, even where they seem most plausible, as in the disposition of glass to break when struck. Why is it thus disposed? |
| 12617 | Associationism can't explain how truth is preserved [Fodor] |
| Full Idea: The essential problem is to explain how thinking manages reliably to preserve truth; and Associationism, as Kant rightly pointed out to Hume, hasn't the resources to do so. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1) | |
| A reaction: One might be able to give an associationist account of truth-preservation if one became a bit more externalist about it, so that the normal association patterns track their connections with the external world. |
| 19594 | General statements about nature are not valid [Novalis] |
| Full Idea: General statements are not valid in the study of nature. | |
| From: Novalis (Last Fragments [1800], 17) | |
| A reaction: This is his striking obsession with the particularity and fine detail of nature. Alexander von Humbolt was exploring nature in S.America in this year. It sounds wrong about physics, but possibly right about biology. |
| 19596 | The whole body is involved in the formation of thoughts [Novalis] |
| Full Idea: In the formation of thoughts all parts of the body seem to me to be working together. | |
| From: Novalis (Last Fragments [1800], 20) | |
| A reaction: I can only think that Spinoza must be behind this thought, or La Mettrie. It seems a strikingly unusual intuition for its time, when almost everyone takes a spiritual sort of dualism for granted. |
| 12615 | Mental representations are the old 'Ideas', but without images [Fodor] |
| Full Idea: The idea that there are mental representations is the idea that there are Ideas minus the idea that Ideas are images. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1) | |
| A reaction: Good for you, Fodor. I've always thought that the vociferous contempt with which modern philosphers refer to the old notion of 'Ideas' was grossly exaggerated. At last someone puts a clear finger on what seems to be the difficulty. |
| 6650 | Fodor is now less keen on the innateness of concepts [Fodor, by Lowe] |
| Full Idea: Fodor has recently changed his mind about the innateness of concepts, which he formerly championed. | |
| From: report of Jerry A. Fodor (Concepts:where cogn.science went wrong [1998]) by E.J. Lowe - Introduction to the Philosophy of Mind Ch.7 n25 | |
| A reaction: There is some sensible middle road to be charted here. We presumably do not have an innate idea of a screwdriver, but there are plenty of basic concepts in logic and perception that are plausibly thought of as innate. |
| 12618 | It is essential to the concept CAT that it be satisfied by cats [Fodor] |
| Full Idea: Nothing in any mental life could be the concept CAT unless it is satisfied by cats. If you haven't got a concept that applies to cats, that entails that you haven't got the CAT concept. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.2) | |
| A reaction: Of course, having a concept that applies to cats doesn't entail that you have the CAT concept. Quine's 'gavagai', for example. I think Fodor is right in this idea. |
| 12614 | I prefer psychological atomism - that concepts are independent of epistemic capacities [Fodor] |
| Full Idea: I argue for a very strong version of psychological atomism; one according to which what concepts you have is conceptually and metaphysically independent of what epistemic capacities you have. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1) | |
| A reaction: This is a frontal assault on the tradition of Frege, Dummett and Peacocke. I immediately find Fodor's approach more congenial, because he wants to say what a concept IS, rather than just place it within some larger scheme of things. |
| 12621 | Definable concepts have constituents, which are necessary, individuate them, and demonstrate possession [Fodor] |
| Full Idea: The definition theory says that concepts are complex structures which entail their constituents. By saying this, it guarantees both the connection between content and necessity, and the connection between concept individuation and concept possession. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.5) | |
| A reaction: He cites Pinker as a spokesman for the definitional view. This is the view Fodor attacks, in favour of his atomistic account. He adds in a note that his view also offered to reduce conceptual truth to logical truth. |
| 12622 | Many concepts lack prototypes, and complex prototypes aren't built from simple ones [Fodor] |
| Full Idea: Many concepts have no prototypes; and there are many complex concepts whose prototypes aren't related to the prototypes of their constituents in the way compositional explanation of productivity and systematicity requires. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.5) | |
| A reaction: His favourite example of the latter is 'pet fish', where the prototype of 'pet' is hardly ever a fish, and the prototype of 'fish' is usually much bigger than goldfish. Fodor is arguing that concepts are atomic. |
| 12623 | The theory theory can't actually tell us what concepts are [Fodor] |
| Full Idea: If the theory theory has a distinctive and coherent answer to the 'What's a concept?' question on offer, it's a well-kept secret. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.5) | |
| A reaction: Not an argument, but worth recording as an attitude. I certainly agree that accounts which offer some sort of answer to 'What is a concept?' have an immediate head's start on those which don't. |
| 12616 | English has no semantic theory, just associations between sentences and thoughts [Fodor] |
| Full Idea: English has no semantics. Learning English isn't learning a theory about what its sentences mean, it's learning how to associate its sentences with the corresponding thoughts. | |
| From: Jerry A. Fodor (Concepts:where cogn.science went wrong [1998], Ch.1) | |
| A reaction: This sounds remarkably close to John Locke's account of language (which I always thought was seriously underrated). Presumably we can then say that the 'thought' (or Locke's 'idea') is the meaning, which is old-fashioned real meanings. |
| 19593 | Persons are shaped by a life history; splendid persons are shaped by world history [Novalis] |
| Full Idea: What is it that shapes a person if not his life history? And in the same way a splendid person is shaped by nothing other than world history. Many people live better in the past and in the future than in the present. | |
| From: Novalis (Last Fragments [1800], 15) | |
| A reaction: Clearly there is a lot to be said for splendid people who live entirely in the present (such as jazz musicians). Some people do have an awesomely wide historical perspective on their immediate lives. Palaeontology is not the master discipline though! |
| 19595 | Nature is a whole, and its individual parts cannot be wholly understood [Novalis] |
| Full Idea: Nature is a whole - in which each part in itself can never be wholly understood. | |
| From: Novalis (Last Fragments [1800], 18) | |
| A reaction: This doesn't seem right when studying some item in a laboratory, but it seems undeniable when you consider the history and future of each item. |
| 19592 | The basic relations of nature are musical [Novalis] |
| Full Idea: Musical relations seem to me to be actually the basic relations of nature. | |
| From: Novalis (Last Fragments [1800], 10) | |
| A reaction: Novalis shows no signs of being a pythagorean, and then suddenly comes out with this. I suppose if you love music, this thought should float into your mind at regular intervals, because the power of music is so strong. Does he mean ratios? |