57 ideas
12644 | Who cares what 'philosophy' is? Most pre-1950 thought doesn't now count as philosophy [Fodor] |
12633 | Definitions often give necessary but not sufficient conditions for an extension [Fodor] |
15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
17608 | We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo] |
17607 | Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo] |
10870 | ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg] |
13012 | Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy] |
17609 | Set theory can be reduced to a few definitions and seven independent axioms [Zermelo] |
13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
12664 | A truth-table, not inferential role, defines 'and' [Fodor] |
12648 | Names in thought afford a primitive way to bring John before the mind [Fodor] |
12650 | 'Paderewski' has two names in mentalese, for his pianist file and his politician file [Fodor] |
12656 | P-and-Q gets its truth from the truth of P and truth of Q, but consistency isn't like that [Fodor] |
13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
18178 | For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy] |
13027 | Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy] |
9627 | Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR] |
12653 | There's statistical, logical, nomological, conceptual and metaphysical possibility [Fodor] |
12651 | Some beliefs are only inferred when needed, like 'Shakespeare had not telephone' [Fodor] |
12628 | Knowing that must come before knowing how [Fodor] |
12625 | Pragmatism is the worst idea ever [Fodor] |
12636 | Mental states have causal powers [Fodor] |
12661 | The different types of resemblance don't resemble one another [Fodor] |
12632 | In the Representational view, concepts play the key linking role [Fodor] |
12624 | Only the labels of nodes have semantic content in connectionism, and they play no role [Fodor] |
12641 | Connectionism gives no account of how constituents make complex concepts [Fodor] |
12640 | Associative thinking avoids syntax, but can't preserve sense, reference or truth [Fodor] |
12643 | Ambiguities in English are the classic reason for claiming that we don't think in English [Fodor] |
12649 | We think in file names [Fodor] |
12647 | Mental representations name things in the world, but also files in our memory [Fodor] |
12655 | Frame Problem: how to eliminate most beliefs as irrelevant, without searching them? [Fodor] |
12630 | If concept content is reference, then my Twin and I are referring to the same stuff [Fodor] |
12658 | Nobody knows how concepts are acquired [Fodor] |
12662 | We have an innate capacity to form a concept, once we have grasped the stereotype [Fodor] |
12635 | Having a concept isn't a pragmatic matter, but being able to think about the concept [Fodor] |
12652 | Concepts have two sides; they are files that face thought, and also face subject-matter [Fodor] |
12626 | Cartesians put concept individuation before concept possession [Fodor] |
12637 | Frege's puzzles suggest to many that concepts have sense as well as reference [Fodor] |
12638 | If concepts have sense, we can't see the connection to their causal powers [Fodor] |
12639 | Belief in 'senses' may explain intentionality, but not mental processes [Fodor] |
12654 | You can't think 'brown dog' without thinking 'brown' and 'dog' [Fodor] |
12659 | Maybe stereotypes are a stage in concept acquisition (rather than a by-product) [Fodor] |
12660 | One stereotype might be a paradigm for two difference concepts [Fodor] |
12629 | For the referential view of thought, the content of a concept is just its reference [Fodor] |
12631 | Compositionality requires that concepts be atomic [Fodor] |
12657 | Abstractionism claims that instances provide criteria for what is shared [Fodor] |
12634 | 'Inferential-role semantics' says meaning is determined by role in inference [Fodor] |
12642 | Co-referring terms differ if they have different causal powers [Fodor] |
12663 | We refer to individuals and to properties, and we use singular terms and predicates [Fodor] |
12645 | Semantics (esp. referential semantics) allows inferences from utterances to the world [Fodor] |
12646 | Semantics relates to the world, so it is never just psychological [Fodor] |
12627 | Before you can plan action, you must decide on the truth of your estimate of success [Fodor] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |