20 ideas
| 13838 | A decent modern definition should always imply a semantics [Hacking] |
| 6396 | A sentence is held true because of a combination of meaning and belief [Davidson] |
| 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] |
| 11145 | Having a belief involves the possibility of being mistaken [Davidson] |
| 6397 | The concept of belief can only derive from relationship to a speech community [Davidson] |
| 6392 | Thought depends on speech [Davidson] |
| 6393 | A creature doesn't think unless it interprets another's speech [Davidson] |
| 11144 | Concepts are only possible in a language community [Davidson] |
| 6395 | An understood sentence can be used for almost anything; it isn't language if it has only one use [Davidson] |
| 6394 | The pattern of sentences held true gives sentences their meaning [Davidson] |
| 22230 | Sartre gradually realised that freedom is curtailed by the weight of situation [Sartre, by Daigle] |