19 ideas
13838 | A decent modern definition should always imply a semantics [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] |
13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [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] |
6375 | The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger] |
6381 | The mind and the self are one, and the mind-self is a biological phenomenon [Polger] |
6378 | Teleological functions explain why a trait exists; causal-role functions say what it does [Polger] |
6380 | Identity theory says consciousness is an abstraction: a state, event, process or property [Polger] |
4050 | We only allow voluntary euthanasia to someone who is both sane and crazed by pain [Kamisar] |
4051 | People will volunteer for euthanasia because they think other people want them dead [Kamisar] |
6379 | A mummified heart has the teleological function of circulating blood [Polger] |
6377 | Teleological notions of function say what a thing is supposed to do [Polger] |