27 ideas
23326 | In the third century Stoicism died out, replaced by Platonism, with Aristotelian ethics [Frede,M] |
23335 | In late antiquity nearly all philosophers were monotheists [Frede,M] |
18274 | Analysis complicates a statement, but only as far as the complexity of its meaning [Wittgenstein] |
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] |
16908 | We can dispense with self-evidence, if language itself prevents logical mistakes [Jeshion on Wittgenstein] |
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] |
18276 | A statement's logical form derives entirely from its constituents [Wittgenstein] |
6563 | 'And' and 'not' are non-referring terms, which do not represent anything [Wittgenstein, by Fogelin] |
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] |
23472 | The sense of propositions relies on the world's basic logical structure [Wittgenstein] |
23500 | My main problem is the order of the world, and whether it is knowable a priori [Wittgenstein] |
22323 | The philosophical I is the metaphysical subject, the limit - not a part of the world [Wittgenstein] |
23334 | For Christians man has free will by creation in God's image (as in Genesis) [Frede,M] |
23333 | The idea of free will achieved universal acceptance because of Christianity [Frede,M] |
23337 | The Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M] |
23481 | Propositions assemble a world experimentally, like the model of a road accident [Wittgenstein] |
23336 | There is no will for Plato or Aristotle, because actions come directly from perception of what is good [Frede,M] |
4678 | Absolute prohibitions are the essence of ethics, and suicide is the most obvious example [Wittgenstein] |
23313 | The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M] |