17 ideas
13838 | A decent modern definition should always imply a semantics [Hacking] |
22304 | Truth is conceivability, or the systematic coherence of a significant whole [Joachim] |
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] |
22262 | Kant's moral law has no foundation - because that would undermine its priority [Sandel] |
22264 | Modern liberal rights in democracies protect individuals against the majority [Sandel] |
22261 | Liberals say rights always come first, and justice is neutral on social values [Sandel] |
22263 | Liberal justice means the withdrawal of the self, as transcendental or as unencumbered [Sandel] |
22805 | Liberalism concerns rights, and communitarianism concerns the common good [Sandel, by Avineri/De-Shalit] |