22 ideas
21757 | Philosophy is the conceptual essence of the shape of history [Hegel] |
23449 | Interpreting a text is representing it as making sense [Morris,M] |
18781 | Inconsistency doesn't prevent us reasoning about some system [Mares] |
18789 | Intuitionist logic looks best as natural deduction [Mares] |
18790 | Intuitionism as natural deduction has no rule for negation [Mares] |
18787 | Three-valued logic is useful for a theory of presupposition [Mares] |
18793 | Material implication (and classical logic) considers nothing but truth values for implications [Mares] |
18784 | In classical logic the connectives can be related elegantly, as in De Morgan's laws [Mares] |
23484 | Bipolarity adds to Bivalence the capacity for both truth values [Morris,M] |
18786 | Excluded middle standardly implies bivalence; attacks use non-contradiction, De M 3, or double negation [Mares] |
18780 | Standard disjunction and negation force us to accept the principle of bivalence [Mares] |
18782 | The connectives are studied either through model theory or through proof theory [Mares] |
23494 | Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M] |
18783 | Many-valued logics lack a natural deduction system [Mares] |
18792 | Situation semantics for logics: not possible worlds, but information in situations [Mares] |
18785 | Consistency is semantic, but non-contradiction is syntactic [Mares] |
23451 | Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M] |
23460 | To count, we must distinguish things, and have a series with successors in it [Morris,M] |
23452 | Discriminating things for counting implies concepts of identity and distinctness [Morris,M] |
18788 | For intuitionists there are not numbers and sets, but processes of counting and collecting [Mares] |
18791 | In 'situation semantics' our main concepts are abstracted from situations [Mares] |
23491 | There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M] |