21 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] |
7306 | If the only property of a name was its reference, we couldn't explain bearerless names [Miller,A] |
13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
7322 | Constitutive scepticism is about facts, and epistemological scepticism about our ability to know them [Miller,A] |
7325 | Dispositions say what we will do, not what we ought to do, so can't explain normativity [Miller,A] |
7324 | Explain meaning by propositional attitudes, or vice versa, or together? [Miller,A] |
7323 | If truth is deflationary, sentence truth-conditions just need good declarative syntax [Miller,A] |
7315 | 'Jones is a married bachelor' does not have the logical form of a contradiction [Miller,A] |
7328 | The principle of charity is holistic, saying we must hold most of someone's system of beliefs to be true [Miller,A] |
7329 | Maybe we should interpret speakers as intelligible, rather than speaking truth [Miller,A] |
7333 | The Frege-Geach problem is that I can discuss the wrongness of murder without disapproval [Miller,A] |
22489 | 'Good' is an attributive adjective like 'large', not predicative like 'red' [Geach, by Foot] |