23 ideas
18781 | Inconsistency doesn't prevent us reasoning about some system [Mares] |
8859 | The main modal logics disagree over three key formulae [Yablo] |
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] |
18784 | In classical logic the connectives can be related elegantly, as in De Morgan's laws [Mares] |
18793 | Material implication (and classical logic) considers nothing but truth values for implications [Mares] |
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] |
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] |
8865 | If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise? [Yablo] |
8863 | We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo] |
8862 | Platonic objects are really created as existential metaphors [Yablo] |
18788 | For intuitionists there are not numbers and sets, but processes of counting and collecting [Mares] |
8864 | We quantify over events, worlds, etc. in order to make logical possibilities clearer [Yablo] |
8858 | Philosophers keep finding unexpected objects, like models, worlds, functions, numbers, events, sets, properties [Yablo] |
18791 | In 'situation semantics' our main concepts are abstracted from situations [Mares] |
8861 | Hardly a word in the language is devoid of metaphorical potential [Yablo] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |