24 ideas
2510 | Traditionally philosophy is an a priori enquiry into general truths about reality [Katz] |
2516 | Most of philosophy begins where science leaves off [Katz] |
8996 | If if time is money then if time is not money then time is money then if if if time is not money... [Quine] |
8995 | Definition by words is determinate but relative; fixing contexts could make it absolute [Quine] |
10064 | Quine quickly dismisses If-thenism [Quine, by Musgrave] |
20296 | Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey] |
8998 | Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine] |
8999 | Logic isn't conventional, because logic is needed to infer logic from conventions [Quine] |
9000 | If a convention cannot be communicated until after its adoption, what is its role? [Quine] |
8994 | If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine] |
17818 | How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau] |
17822 | Nothing is 'intrinsically' numbered [Yourgrau] |
8997 | There are four different possible conventional accounts of geometry [Quine] |
17817 | Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau] |
17815 | We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau] |
17821 | You can ask all sorts of numerical questions about any one given set [Yourgrau] |
2521 | 'Real' maths objects have no causal role, no determinate reference, and no abstract/concrete distinction [Katz] |
8993 | If mathematics follows from definitions, then it is conventional, and part of logic [Quine] |
2513 | We don't have a clear enough sense of meaning to pronounce some sentences meaningless or just analytic [Katz] |
2522 | Experience cannot teach us why maths and logic are necessary [Katz] |
2517 | Structuralists see meaning behaviouristically, and Chomsky says nothing about it [Katz] |
2519 | It is generally accepted that sense is defined as the determiner of reference [Katz] |
2520 | Sense determines meaning and synonymy, not referential properties like denotation and truth [Katz] |
2518 | Sentences are abstract types (like musical scores), not individual tokens [Katz] |