54 ideas
2463 | A standard naturalist view is realist, externalist, and computationalist, and believes in rationality [Fodor] |
2435 | Psychology has to include the idea that mental processes are typically truth-preserving [Fodor] |
10775 | The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp] |
10766 | Logic is either for demonstration, or for characterizing structures [Tharp] |
2442 | Inferences are surely part of the causal structure of the world [Fodor] |
10767 | Elementary logic is complete, but cannot capture mathematics [Tharp] |
10769 | Second-order logic isn't provable, but will express set-theory and classic problems [Tharp] |
10762 | In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp] |
10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp] |
10765 | Soundness would seem to be an essential requirement of a proof procedure [Tharp] |
10763 | Completeness and compactness together give axiomatizability [Tharp] |
10770 | If completeness fails there is no algorithm to list the valid formulas [Tharp] |
10771 | Compactness is important for major theories which have infinitely many axioms [Tharp] |
10772 | Compactness blocks infinite expansion, and admits non-standard models [Tharp] |
10764 | A complete logic has an effective enumeration of the valid formulas [Tharp] |
10768 | Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp] |
14775 | Numbers are just names devised for counting [Peirce] |
14776 | That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce] |
14770 | Reasoning is based on statistical induction, so it can't achieve certainty or precision [Peirce] |
14774 | Innate truths are very uncertain and full of error, so they certainly have exceptions [Peirce] |
14773 | A truth is hard for us to understand if it rests on nothing but inspiration [Peirce] |
14772 | If we decide an idea is inspired, we still can't be sure we have got the idea right [Peirce] |
14771 | Only reason can establish whether some deliverance of revelation really is inspired [Peirce] |
2462 | Control of belief is possible if you know truth conditions and what causes beliefs [Fodor] |
2461 | An experiment is a deliberate version of what informal thinking does all the time [Fodor] |
2454 | We can deliberately cause ourselves to have true thoughts - hence the value of experiments [Fodor] |
2455 | Interrogation and experiment submit us to having beliefs caused [Fodor] |
2460 | Participation in an experiment requires agreement about what the outcome will mean [Fodor] |
2458 | Theories are links in the causal chain between the environment and our beliefs [Fodor] |
2443 | I say psychology is intentional, semantics is informational, and thinking is computation [Fodor] |
2453 | We are probably the only creatures that can think about our own thoughts [Fodor] |
14769 | Only imagination can connect phenomena together in a rational way [Peirce] |
2446 | Cartesians consider interaction to be a miracle [Fodor] |
2445 | Semantics v syntax is the interaction problem all over again [Fodor] |
2464 | Type physicalism equates mental kinds with physical kinds [Fodor] |
2447 | Hume has no theory of the co-ordination of the mind [Fodor] |
2440 | Propositional attitudes are propositions presented in a certain way [Fodor] |
2450 | Rationality has mental properties - autonomy, productivity, experiment [Fodor] |
2437 | XYZ (Twin Earth 'water') is an impossibility [Fodor] |
2441 | Truth conditions require a broad concept of content [Fodor] |
3114 | Concepts aren't linked to stuff; they are what is caused by stuff [Fodor] |
2452 | Knowing the cause of a thought is almost knowing its content [Fodor] |
2432 | Is content basically information, fixed externally? [Fodor] |
2438 | In the information view, concepts are potentials for making distinctions [Fodor] |
2439 | Semantic externalism says the concept 'elm' needs no further beliefs or inferences [Fodor] |
2457 | If meaning is information, that establishes the causal link between the state of the world and our beliefs [Fodor] |
2451 | To know the content of a thought is to know what would make it true [Fodor] |
2433 | For holists no two thoughts are ever quite the same, which destroys faith in meaning [Fodor] |
2436 | It is claimed that reference doesn't fix sense (Jocasta), and sense doesn't fix reference (Twin Earth) [Fodor] |
2434 | Broad semantics holds that the basic semantic properties are truth and denotation [Fodor] |
2459 | Externalist semantics are necessary to connect the contents of beliefs with how the world is [Fodor] |