30 ideas
7454 | Gassendi is the first great empiricist philosopher [Hacking] |
5182 | Claims about 'the Absolute' are not even verifiable in principle [Ayer on Bradley] |
6864 | Metaphysics is finding bad reasons for instinctive beliefs [Bradley] |
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] |
10999 | Names need a means of reidentifying their referents [Bradley, by Read] |
13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
6422 | Internal relations are said to be intrinsic properties of two terms, and of the whole they compose [Bradley, by Russell] |
7966 | Relations must be linked to their qualities, but that implies an infinite regress of relations [Bradley] |
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] |
6404 | British Idealists said reality is a single Mind which experiences itself [Bradley, by Grayling] |
22299 | Bradley's objective idealism accepts reality (the Absolute), but says we can't fully describe it [Bradley, by Potter] |
21343 | Qualities and relations are mere appearance; the Absolute is a single undifferentiated substance [Bradley, by Heil] |
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] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
5655 | Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton] |
6406 | Reality is one, because plurality implies relations, and they assert a superior unity [Bradley] |