26 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] |
8830 | A belief can be justified when the person has forgotten the evidence for it [Goldman] |
8832 | If justified beliefs are well-formed beliefs, then animals and young children have them [Goldman] |
8829 | Justification depends on the reliability of its cause, where reliable processes tend to produce truth [Goldman] |
8831 | Introspection is really retrospection; my pain is justified by a brief causal history [Goldman] |
23874 | Armies and businesses create moralities in which their activity can do no wrong [Marx, by Weil] |
18662 | Liberal freedom is the right to be separate, and ignores the union of man with man [Marx] |
23372 | Liberals want the right to be separate, rather than for people to be united [Marx] |
20576 | Early Marx anticipates communitarian objections to liberalism [Marx, by Oksala] |
23862 | By saying the material dialectic of history aspires to the best, Marx agreed with capitalism [Weil on Marx] |
21999 | False consciousness results from concealment by the superstructure [Marx, by Singer] |
23875 | Marx says force is everything, and that the weak will become strong, while remaining the weak [Weil on Marx] |
18653 | Marx rejected equal rights because they never actually treat people as equals [Marx, by Kymlicka] |
20958 | Capitalism changes the world, by socialising the idea of a commodity [Marx, by Bowie] |
23876 | The essence of capitalism is the subordination of people to things [Marx, by Weil] |
20960 | Marx thought capitalism was partly liberating, and could make labour and ownership more humane [Marx, by Bowie] |