15 ideas
13966 | Analytic philosophy loved the necessary a priori analytic, linguistic modality, and rigour [Soames] |
13974 | If philosophy is analysis of meaning, available to all competent speakers, what's left for philosophers? [Soames] |
13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton] |
13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
13200 | Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton] |
13199 | The empty set may look pointless, but many sets can be constructed from it [Enderton] |
13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
13202 | Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton] |
13205 | We can only define functions if Choice tells us which items are involved [Enderton] |
13969 | Kripkean essential properties and relations are necessary, in all genuinely possible worlds [Soames] |
13973 | A key achievement of Kripke is showing that important modalities are not linguistic in source [Soames] |
13968 | Kripkean possible worlds are abstract maximal states in which the real world could have been [Soames] |
13972 | Two-dimensionalism reinstates descriptivism, and reconnects necessity and apriority to analyticity [Soames] |
5470 | The idea of laws of nature arose in the Middle Ages [Hall,AR, by Ellis] |