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] |
| 16066 | Additional or removal of any part changes a thing, so people are never the same person [Epicharmus] |
| 20945 | Belief is no more rational than is tasting and smelling [Hamann] |
| 436 | A dog seems handsome to another a dog, and even a pig to another pig [Epicharmus] |
| 442 | Pleasures are like pirates - if you are caught they drown you in a sea of pleasures [Epicharmus] |
| 440 | Hands wash hands; give that you may get [Epicharmus] |
| 441 | Against a villain, villainy is not a useless weapon [Epicharmus] |
| 7666 | God is not a mathematician, but a poet [Hamann, by Berlin] |
| 439 | God knows everything, and nothing is impossible for him [Epicharmus] |
| 443 | Human logos is an aspect of divine logos, and is sufficient for successful living [Epicharmus] |