77 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] |
9641 | Definitions should be replaceable by primitives, and should not be creative [Brown,JR] |
2470 | Transcendental arguments move from knowing Q to knowing P because it depends on Q [Fodor] |
9634 | Set theory says that natural numbers are an actual infinity (to accommodate their powerset) [Brown,JR] |
9613 | Naïve set theory assumed that there is a set for every condition [Brown,JR] |
9615 | Nowadays conditions are only defined on existing sets [Brown,JR] |
9617 | The 'iterative' view says sets start with the empty set and build up [Brown,JR] |
9642 | A flock of birds is not a set, because a set cannot go anywhere [Brown,JR] |
9605 | If a proposition is false, then its negation is true [Brown,JR] |
9649 | Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR] |
9638 | Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR] |
9604 | Mathematics is the only place where we are sure we are right [Brown,JR] |
9622 | 'There are two apples' can be expressed logically, with no mention of numbers [Brown,JR] |
9648 | π is a 'transcendental' number, because it is not the solution of an equation [Brown,JR] |
9621 | Mathematics represents the world through structurally similar models. [Brown,JR] |
9646 | There is no limit to how many ways something can be proved in mathematics [Brown,JR] |
9647 | Computers played an essential role in proving the four-colour theorem of maps [Brown,JR] |
9643 | Set theory may represent all of mathematics, without actually being mathematics [Brown,JR] |
9644 | When graphs are defined set-theoretically, that won't cover unlabelled graphs [Brown,JR] |
9625 | To see a structure in something, we must already have the idea of the structure [Brown,JR] |
9628 | Sets seem basic to mathematics, but they don't suit structuralism [Brown,JR] |
9606 | The irrationality of root-2 was achieved by intellect, not experience [Brown,JR] |
9612 | There is an infinity of mathematical objects, so they can't be physical [Brown,JR] |
9610 | Numbers are not abstracted from particulars, because each number is a particular [Brown,JR] |
9620 | Empiricists base numbers on objects, Platonists base them on properties [Brown,JR] |
9639 | Does some mathematics depend entirely on notation? [Brown,JR] |
9629 | For nomalists there are no numbers, only numerals [Brown,JR] |
9630 | The most brilliant formalist was Hilbert [Brown,JR] |
9608 | There are no constructions for many highly desirable results in mathematics [Brown,JR] |
9645 | Constructivists say p has no value, if the value depends on Goldbach's Conjecture [Brown,JR] |
22076 | Being is only perceptible to itself as becoming [Schelling] |
9619 | David's 'Napoleon' is about something concrete and something abstract [Brown,JR] |
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] |
2502 | How do you count beliefs? [Fodor] |
2501 | Berkeley seems to have mistakenly thought that chairs are the same as after-images [Fodor] |
22074 | We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling] |
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] |
22075 | Only idealism has given us the genuine concept of freedom [Schelling] |
2467 | Functionalists see pains as properties involving relations and causation [Fodor] |
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] |
2483 | Mentalese doesn't require a theory of meaning [Fodor] |
2480 | Language is ambiguous, but thought isn't [Fodor] |
2487 | Mentalese may also incorporate some natural language [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] |
9611 | 'Abstract' nowadays means outside space and time, not concrete, not physical [Brown,JR] |
9609 | The older sense of 'abstract' is where 'redness' or 'group' is abstracted from particulars [Brown,JR] |
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] |
9640 | A term can have not only a sense and a reference, but also a 'computational role' [Brown,JR] |
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] |
9635 | Given atomism at one end, and a finite universe at the other, there are no physical infinities [Brown,JR] |