23 ideas
8472 | Sentential logic is consistent (no contradictions) and complete (entirely provable) [Orenstein] |
8476 | Axiomatization simply picks from among the true sentences a few to play a special role [Orenstein] |
8480 | S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein] |
8474 | Unlike elementary logic, set theory is not complete [Orenstein] |
8465 | Mereology has been exploited by some nominalists to achieve the effects of set theory [Orenstein] |
8452 | Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein] |
8475 | The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein] |
8454 | The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein] |
8473 | The logicists held that is-a-member-of is a logical constant, making set theory part of logic [Orenstein] |
8458 | Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism [Orenstein] |
8457 | The Principle of Conservatism says we should violate the minimum number of background beliefs [Orenstein] |
17499 | Theoretical models can represent, by mapping onto the data-models [Portides] |
17498 | In the 'received view' models are formal; the 'semantic view' emphasises representation [Portides, by PG] |
17501 | Representational success in models depends on success of their explanations [Portides] |
17502 | The best model of the atomic nucleus is the one which explains the most results [Portides] |
17496 | 'Model' belongs in a family of concepts, with representation, idealisation and abstraction [Portides] |
17497 | Models are theory-driven, or phenomenological (more empirical and specific) [Portides] |
13165 | Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus] |
17500 | General theories may be too abstract to actually explain the mechanisms [Portides] |
9569 | The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus] |
8477 | People presume meanings exist because they confuse meaning and reference [Orenstein] |
8471 | Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way [Orenstein] |
8484 | If two people believe the same proposition, this implies the existence of propositions [Orenstein] |