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All the ideas for 'works', 'works' and 'Hilbert's Programme'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
     Full Idea: Usually Gödel's incompleteness theorems are taken as showing a limitation on the syntactic approach to an understanding of the concept of infinity.
     From: Georg Kreisel (Hilbert's Programme [1958], 05)
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
     Full Idea: It is necessary to use non-mathematical concepts, i.e. concepts lacking the precision which permit mathematical manipulation, for a significant approach to foundations. We currently have no concepts of this kind which we can take seriously.
     From: Georg Kreisel (Hilbert's Programme [1958], 06)
     A reaction: Music to the ears of any philosopher of mathematics, because it means they are not yet out of a job.
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
How does anything get outside itself? [Fodor, by Martin,CB]
     Full Idea: Fodor asks the stirring and basic question 'How does anything get outside itself?'
     From: report of Jerry A. Fodor (works [1986]) by C.B. Martin - The Mind in Nature 03.6
     A reaction: Is this one of those misconceived questions, like major issues concerning 'what's it like to be?' In what sense am I outside myself? Is a mind any more mysterious than a shadow?
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Is intentionality outwardly folk psychology, inwardly mentalese? [Lyons on Fodor]
     Full Idea: For Fodor the intentionality of the propositional-attitude vocabulary of our folk psychology is the outward expression of the inward intentionality of the language of the brain.
     From: comment on Jerry A. Fodor (works [1986]) by William Lyons - Approaches to Intentionality p.39
     A reaction: I would be very cautious about this. Folk psychology works, so it must have a genuine basis in how brains work, but it breaks down in unusual situations, and might even be a total (successful) fiction.
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Are beliefs brains states, but picked out at a "higher level"? [Lyons on Fodor]
     Full Idea: Fodor holds that beliefs are brain states or processes, but picked out at a 'higher' or 'special science' level.
     From: comment on Jerry A. Fodor (works [1986]) by William Lyons - Approaches to Intentionality p.82
     A reaction: I don't think you can argue with this. Levels of physical description exist (e.g. pure physics tells you nothing about the weather), and I think 'process' is the best word for the mind (Idea 4931).
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
Is thought a syntactic computation using representations? [Fodor, by Rey]
     Full Idea: The modest mentalism of the Computational/Representational Theory of Thought (CRTT), associated with Fodor, says mental processes are computational, defined over syntactically specified entities, and these entities represent the world (are also semantic).
     From: report of Jerry A. Fodor (works [1986]) by Georges Rey - Contemporary Philosophy of Mind Int.3
     A reaction: This seems to imply that if you built a machine that did all these things, it would become conscious, which sounds unlikely. Do footprints 'represent' feet, or does representation need prior consciousness?
18. Thought / C. Content / 1. Content
Maybe narrow content is physical, broad content less so [Lyons on Fodor]
     Full Idea: Fodor is concerned with producing a realist and physicalist account of 'narrow content' (i.e. wholly in-the-head content).
     From: comment on Jerry A. Fodor (works [1986]) by William Lyons - Approaches to Intentionality p.54
     A reaction: The emergence of 'wide' content has rather shaken Fodor's game plan. We can say "Oh dear, I thought I was referring to H2O", so there must be at least some narrow aspect to reference.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle]
     Full Idea: Kierkegaard insisted that the most important aspect of a human being is not reason, but passion.
     From: report of Søren Kierkegaard (works [1845]) by Clare Carlisle - Kierkegaard: a guide for the perplexed Intro
     A reaction: Hume comes to mind for a similar view, but in character Hume was far more rational than Kierkegaard.
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]
     Full Idea: In analysis, the most natural conception of a point ignores the matter of naming the point, i.e. how the real number is represented or by what constructions the point is reached from given points.
     From: Georg Kreisel (Hilbert's Programme [1958], 13)
     A reaction: This problem has bothered me. There are formal ways of constructing real numbers, but they don't seem to result in a name for each one.