Combining Texts

All the ideas for 'Function and Concept', 'Letters to Thomas Burnett' and 'Concepts:where cogn.science went wrong'

unexpand these ideas     |    start again     |     specify just one area for these texts


27 ideas

2. Reason / D. Definition / 13. Against Definition
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.
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
     Full Idea: Frege rejected the traditional categories as importing psychological and linguistic impurities into logic.
     From: report of Gottlob Frege (Function and Concept [1891]) by Ian Rumfitt - The Boundary Stones of Thought 1.2
     A reaction: Resisting such impurities is the main motivation for making logic entirely symbolic, but it doesn't follow that the traditional categories have to be dropped.
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
     Full Idea: Just as functions are fundamentally different from objects, so also functions whose arguments are and must be functions are fundamentally different from functions whose arguments are objects. The latter are first-level, the former second-level, functions.
     From: Gottlob Frege (Function and Concept [1891], p.38)
     A reaction: In 1884 he called it 'second-order'. This is the standard distinction between first- and second-order logic. The first quantifies over objects, the second over intensional entities such as properties and propositions.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
     Full Idea: Functions of one argument are concepts; functions of two arguments are relations.
     From: Gottlob Frege (Function and Concept [1891], p.39)
     A reaction: Nowadays we would say 'two or more'. Another interesting move in the aim of analytic philosophy to reduce the puzzling features of the world to mathematical logic. There is, of course, rather more to some relations than being two-argument functions.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
     Full Idea: I am of the opinion that arithmetic is a further development of logic, which leads to the requirement that the symbolic language of arithmetic must be expanded into a logical symbolism.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: This may the the one key idea at the heart of modern analytic philosophy (even though logicism may be a total mistake!). Logic and arithmetical foundations become the master of ontology, instead of the servant. The jury is out on the whole enterprise.
7. Existence / A. Nature of Existence / 2. Types of Existence
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.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
     Full Idea: Frege regarded the existence of horses as a property of the concept 'horse'.
     From: report of Gottlob Frege (Function and Concept [1891]) by Fred Sommers - Intellectual Autobiography 'Realism'
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
     Full Idea: Frege's theory of properties (which he calls 'concepts') yields too few properties, by identifying coextensive properties, and also too many, by letting every predicate express a property.
     From: comment on Gottlob Frege (Function and Concept [1891]) by DH Mellor / A Oliver - Introduction to 'Properties' §2
     A reaction: Seems right; one extension may have two properties (have heart/kidneys), two predicates might express the same property. 'Cutting nature at the joints' covers properties as well as objects.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
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?
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
     Full Idea: I regard a regular definition of 'object' as impossible, since it is too simple to admit of logical analysis. Briefly: an object is anything that is not a function, so that an expression for it does not contain any empty place.
     From: Gottlob Frege (Function and Concept [1891], p.32)
     A reaction: Here is the core of the programme for deriving our ontology from our logic and language, followed through by Russell and Quine. Once we extend objects beyond the physical, it becomes incredibly hard to individuate them.
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
The notion of substance is one of the keys to true philosophy [Leibniz]
     Full Idea: I consider the notion of substance to be one of the keys to the true philosophy. ....I imagine that philosophers will one day know the notion of substance a bit better than they do now.
     From: Gottfried Leibniz (Letters to Thomas Burnett [1703], 1699.01.20/30)
     A reaction: This is a controversial remark at this historical moment, when the apparent Aristotelian commitment to substances was becoming discredited. Personally I would eliminate substance, but not just because physicists don't refer to it.
12. Knowledge Sources / D. Empiricism / 2. Associationism
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.
18. Thought / C. Content / 2. Ideas
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.
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
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.
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
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.
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
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.
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
     Full Idea: Concepts, for Frege, are the ontological counterparts of predicative expressions.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: That sounds awfully like what many philosophers call 'universals'. Frege, as a platonist (at least about numbers), I would take to be in sympathy with that. At least we can say that concepts seem to be properties.
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
     Full Idea: Frege had a notorious difficulty over the concept 'horse', when he suggests that if we wish to assert something about a concept, we are obliged to proceed indirectly by speaking of an object that represents it.
     From: report of Gottlob Frege (Function and Concept [1891], Ch.2.II) by Bob Hale - Abstract Objects
     A reaction: This sounds like the thin end of a wedge. The great champion of objects is forced to accept them here as a façon de parler, when elsewhere they have ontological status.
A concept is a function whose value is always a truth-value [Frege]
     Full Idea: A concept in logic is closely connected with what we call a function. Indeed, we may say at once: a concept is a function whose value is always a truth-value. ..I give the name 'function' to what is meant by the 'unsaturated' part.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: So a function becomes a concept when the variable takes a value. Problems arise when the value is vague, or the truth-value is indeterminable.
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
     Full Idea: For Frege, concepts differ from objects in being inherently incomplete in nature.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: This is because they are 'unsaturated', needing a quantified variable to complete the sentence. This could be a pointer towards Quine's view of properties, as simply an intrinsic feature of predication about objects, with no separate identity.
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
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.
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
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.
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
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.
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
     Full Idea: From sameness of meaning there does not follow sameness of thought expressed. A fact about the Morning Star may express something different from a fact about the Evening Star, as someone may regard one as true and the other false.
     From: Gottlob Frege (Function and Concept [1891], p.14)
     A reaction: This all gets clearer if we distinguish internalist and externalist theories of content. Why take sides on this? Why not just ask 'what is in the speaker's head?', 'what does the sentence mean in the community?', and 'what is the corresponding situation?'
19. Language / C. Assigning Meanings / 2. Semantics
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.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Gravity is within matter because of its structure, and it can be explained. [Leibniz]
     Full Idea: I believe that both gravity and elasticity are in matter only because of the structure of the system and can be explained mechanically or through impulsion.
     From: Gottfried Leibniz (Letters to Thomas Burnett [1703], 1699 draft)
     A reaction: The significance of this remark is that gravity is held (in full knowledge of Newton's work) to be within matter, and not imposed from the outside. I believe we now postulate a particle as part of the explanation.
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]
     Full Idea: The ontological proof of God's existence suffers from the fallacy of treating existence as a first-level concept.
     From: Gottlob Frege (Function and Concept [1891], p.38 n)
     A reaction: [See Idea 8490 for first- and second-order functions] This is usually summarised as the idea that existence is a quantifier rather than a predicate.