30 ideas
5750 | Consistency is modal, saying propositions are consistent if they could be true together [Melia] |
19086 | Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth] |
5737 | Predicate logic has connectives, quantifiers, variables, predicates, equality, names and brackets [Melia] |
16951 | It was realised that possible worlds covered all modal logics, if they had a structure [Dummett] |
5744 | First-order predicate calculus is extensional logic, but quantified modal logic is intensional (hence dubious) [Melia] |
16953 | Relative possibility one way may be impossible coming back, so it isn't symmetrical [Dummett] |
16952 | If something is only possible relative to another possibility, the possibility relation is not transitive [Dummett] |
16960 | If possibilitiy is relative, that might make accessibility non-transitive, and T the correct system [Dummett] |
16958 | In S4 the actual world has a special place [Dummett] |
5740 | Second-order logic needs second-order variables and quantification into predicate position [Melia] |
5741 | If every model that makes premises true also makes conclusion true, the argument is valid [Melia] |
19093 | Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth] |
5736 | No sort of plain language or levels of logic can express modal facts properly [Melia] |
5735 | Maybe names and predicates can capture any fact [Melia] |
5746 | The Identity of Indiscernibles is contentious for qualities, and trivial for non-qualities [Melia] |
5738 | We may be sure that P is necessary, but is it necessarily necessary? [Melia] |
5732 | 'De re' modality is about things themselves, 'de dicto' modality is about propositions [Melia] |
5739 | Sometimes we want to specify in what ways a thing is possible [Melia] |
16957 | Possible worlds aren't how the world might be, but how a world might be, given some possibility [Dummett] |
5734 | Possible worlds make it possible to define necessity and counterfactuals without new primitives [Melia] |
5742 | In possible worlds semantics the modal operators are treated as quantifiers [Melia] |
5743 | If possible worlds semantics is not realist about possible worlds, logic becomes merely formal [Melia] |
5749 | Possible worlds could be real as mathematics, propositions, properties, or like books [Melia] |
16959 | If possible worlds have no structure (S5) they are equal, and it is hard to deny them reality [Dummett] |
5751 | The truth of propositions at possible worlds are implied by the world, just as in books [Melia] |
19091 | Seeing reality mathematically makes it an object of thought, not of experience [Macbeth] |
19088 | For pragmatists a concept means its consequences [Macbeth] |
5748 | We accept unverifiable propositions because of simplicity, utility, explanation and plausibility [Melia] |
16956 | To explain generosity in a person, you must understand a generous action [Dummett] |
16954 | Generalised talk of 'natural kinds' is unfortunate, as they vary too much [Dummett] |