17 ideas
13838 | A decent modern definition should always imply a semantics [Hacking] |
13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking] |
13834 | Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking] |
13835 | Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking] |
13845 | The various logics are abstractions made from terms like 'if...then' in English [Hacking] |
13840 | First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking] |
13844 | A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking] |
13842 | Second-order completeness seems to need intensional entities and possible worlds [Hacking] |
13837 | With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking] |
13839 | Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking] |
13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
14348 | An 'antidote' allows a manifestation to begin, but then blocks it [Corry] |
14347 | A 'finkish' disposition is one that is lost immediately after the appropriate stimulus [Corry] |
14350 | If a disposition is never instantiated, it shouldn't be part of our theory of nature [Corry] |
14351 | Maybe an experiment unmasks an essential disposition, and reveals its regularities [Corry] |
23221 | The brain, and all the mental events within it, consists entirely of sensitive and rational matter [Cavendish] |
14346 | Dispositional essentialism says fundamental laws of nature are strict, not ceteris paribus [Corry] |