32 ideas
| 7454 | Gassendi is the first great empiricist philosopher [Hacking] |
| 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] |
| 22076 | Being is only perceptible to itself as becoming [Schelling] |
| 7447 | Probability was fully explained between 1654 and 1812 [Hacking] |
| 7448 | Probability is statistical (behaviour of chance devices) or epistemological (belief based on evidence) [Hacking] |
| 7449 | Epistemological probability based either on logical implications or coherent judgments [Hacking] |
| 22072 | Schelling always affirmed the absolute status of freedom [Schelling, by Courtine] |
| 21925 | For Schelling the Absolute spirit manifests as nature in which self-consciousness evolves [Schelling, by Lewis,PB] |
| 22045 | Metaphysics aims at the Absolute, which goes beyond subjective and objective viewpoints [Schelling, by Pinkard] |
| 22074 | We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling] |
| 7450 | In the medieval view, only deduction counted as true evidence [Hacking] |
| 7451 | Formerly evidence came from people; the new idea was that things provided evidence [Hacking] |
| 7452 | An experiment is a test, or an adventure, or a diagnosis, or a dissection [Hacking, by PG] |
| 7459 | Follow maths for necessary truths, and jurisprudence for contingent truths [Hacking] |
| 22073 | The basis of philosophy is the Self prior to experience, where it is the essence of freedom [Schelling] |
| 22075 | Only idealism has given us the genuine concept of freedom [Schelling] |
| 20956 | Ultimately, all being is willing. The nature of primal being is the same as the nature of willing [Schelling] |
| 5845 | Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon] |
| 20957 | We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling] |
| 5833 | Education is the greatest of human goods [Xenophon] |
| 22057 | Schelling sought a union between the productivities of nature and of the mind [Schelling, by Bowie] |
| 22031 | Schelling made organisms central to nature, because mere mechanism could never produce them [Schelling, by Pinkard] |