22 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] |
22062 | Mental presentation are not empirical, but concern the strivings of the self [Fichte] |
22015 | The thing-in-itself is an empty dream [Fichte, by Pinkard] |
23438 | Full rationality must include morality [Foot] |
23437 | Practical reason is goodness in choosing actions [Foot] |
23436 | It is an odd Humean view to think a reason to act must always involve caring [Foot] |
23431 | Human defects are just like plant or animal defects [Foot] |
23432 | Concepts such as function, welfare, flourishing and interests only apply to living things [Foot] |
23433 | Humans need courage like a plant needs roots [Foot] |
23434 | There is no fact-value gap in 'owls should see in the dark' [Foot] |
23439 | Principles are not ultimate, but arise from the necessities of human life [Foot] |
23435 | If you demonstrate the reason to act, there is no further question of 'why should I?' [Foot] |