20 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] |
3509 | Externalism may be the key idea in philosophical naturalism [Papineau] |
23218 | The brain has no responsibility for sensations, which occur in the heart [Aristotle] |
3513 | How does a dualist mind represent, exist outside space, and be transparent to itself? [Papineau] |
3514 | Functionalism needs causation and intentionality to explain actions [Papineau] |
3511 | Supervenience requires all mental events to have physical effects [Papineau] |
3510 | Epiphenomenalism is supervenience without physicalism [Papineau] |
3515 | Knowing what it is like to be something only involves being (physically) that thing [Papineau] |
3512 | If a mental state is multiply realisable, why does it lead to similar behaviour? [Papineau] |
3516 | The Private Language argument only means people may misjudge their experiences [Papineau] |