64 ideas
2474 | It seems likely that analysis of concepts is impossible, but justification can survive without it [Fodor] |
2481 | Despite all the efforts of philosophers, nothing can ever be reduced to anything [Fodor] |
2505 | Turing invented the idea of mechanical rationality (just based on syntax) [Fodor] |
2470 | Transcendental arguments move from knowing Q to knowing P because it depends on Q [Fodor] |
21752 | Prior to Gödel we thought truth in mathematics consisted in provability [Gödel, by Quine] |
17835 | Gödel show that the incompleteness of set theory was a necessity [Gödel, by Hallett,M] |
10779 | A comprehension axiom is 'predicative' if the formula has no bound second-order variables [Linnebo] |
10781 | A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo] |
10783 | Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo] |
10778 | Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo] |
17886 | The limitations of axiomatisation were revealed by the incompleteness theorems [Gödel, by Koellner] |
10071 | Second Incompleteness: nice theories can't prove their own consistency [Gödel, by Smith,P] |
19123 | If soundness can't be proved internally, 'reflection principles' can be added to assert soundness [Gödel, by Halbach/Leigh] |
10621 | Gödel's First Theorem sabotages logicism, and the Second sabotages Hilbert's Programme [Smith,P on Gödel] |
17888 | The undecidable sentence can be decided at a 'higher' level in the system [Gödel] |
10132 | There can be no single consistent theory from which all mathematical truths can be derived [Gödel, by George/Velleman] |
3198 | Gödel showed that arithmetic is either incomplete or inconsistent [Gödel, by Rey] |
10072 | First Incompleteness: arithmetic must always be incomplete [Gödel, by Smith,P] |
9590 | Arithmetical truth cannot be fully and formally derived from axioms and inference rules [Gödel, by Nagel/Newman] |
11069 | Gödel's Second says that semantic consequence outruns provability [Gödel, by Hanna] |
10118 | First Incompleteness: a decent consistent system is syntactically incomplete [Gödel, by George/Velleman] |
10122 | Second Incompleteness: a decent consistent system can't prove its own consistency [Gödel, by George/Velleman] |
10611 | There is a sentence which a theory can show is true iff it is unprovable [Gödel, by Smith,P] |
10867 | 'This system can't prove this statement' makes it unprovable either way [Gödel, by Clegg] |
8747 | Realists are happy with impredicative definitions, which describe entities in terms of other existing entities [Gödel, by Shapiro] |
2469 | The world is full of messy small things producing stable large-scale properties (e.g. mountains) [Fodor] |
2475 | Don't define something by a good instance of it; a good example is a special case of the ordinary example [Fodor] |
10782 | The modern concept of an object is rooted in quantificational logic [Linnebo] |
2502 | How do you count beliefs? [Fodor] |
2501 | Berkeley seems to have mistakenly thought that chairs are the same as after-images [Fodor] |
2465 | Maybe explaining the mechanics of perception will explain the concepts involved [Fodor] |
2504 | Rationalism can be based on an evolved computational brain with innate structure [Fodor] |
2493 | According to empiricists abstraction is the fundamental mental process [Fodor] |
2494 | Rationalists say there is more to a concept than the experience that prompts it [Fodor] |
2503 | Empirical approaches see mind connections as mirrors/maps of reality [Fodor] |
2508 | The function of a mind is obvious [Fodor] |
2485 | Do intentional states explain our behaviour? [Fodor] |
2506 | If I have a set of mental modules, someone had better be in charge of them! [Fodor] |
2467 | Functionalists see pains as properties involving relations and causation [Fodor] |
3192 | Basic logic can be done by syntax, with no semantics [Gödel, by Rey] |
2489 | Why bother with neurons? You don't explain bird flight by examining feathers [Fodor] |
2468 | Type physicalism is a stronger claim than token physicalism [Fodor] |
2490 | Modern connectionism is just Hume's theory of the 'association' of 'ideas' [Fodor] |
2476 | The goal of thought is to understand the world, not instantly sort it into conceptual categories [Fodor] |
2499 | Modules analyse stimuli, they don't tell you what to do [Fodor] |
2496 | Blindness doesn't destroy spatial concepts [Fodor] |
2497 | Something must take an overview of the modules [Fodor] |
2509 | Modules have in-built specialist information [Fodor] |
2491 | Modules have encapsulation, inaccessibility, private concepts, innateness [Fodor] |
2495 | Obvious modules are language and commonsense explanation [Fodor] |
2498 | Modules make the world manageable [Fodor] |
2500 | Babies talk in consistent patterns [Fodor] |
2507 | Rationality rises above modules [Fodor] |
2480 | Language is ambiguous, but thought isn't [Fodor] |
2487 | Mentalese may also incorporate some natural language [Fodor] |
2483 | Mentalese doesn't require a theory of meaning [Fodor] |
2486 | Content can't be causal role, because causal role is decided by content [Fodor] |
2492 | Experience can't explain itself; the concepts needed must originate outside experience [Fodor] |
2471 | Are concepts best seen as capacities? [Fodor] |
2472 | For Pragmatists having a concept means being able to do something [Fodor] |
2482 | It seems unlikely that meaning can be reduced to communicative intentions, or any mental states [Fodor] |
2477 | If to understand "fish" you must know facts about them, where does that end? [Fodor] |
2473 | Analysis is impossible without the analytic/synthetic distinction [Fodor] |
2484 | The theory of the content of thought as 'Mentalese' explains why the Private Language Argument doesn't work [Fodor] |