45 ideas
19648 | Since Kant we think we can only access 'correlations' between thinking and being [Meillassoux] |
19674 | The Copernican Revolution decentres the Earth, but also decentres thinking from reality [Meillassoux] |
19657 | In Kant the thing-in-itself is unknowable, but for us it has become unthinkable [Meillassoux] |
7454 | Gassendi is the first great empiricist philosopher [Hacking] |
19675 | Since Kant, philosophers have claimed to understand science better than scientists do [Meillassoux] |
19649 | Since Kant, objectivity is defined not by the object, but by the statement's potential universality [Meillassoux] |
19666 | If we insist on Sufficient Reason the world will always be a mystery to us [Meillassoux] |
19656 | Non-contradiction is unjustified, so it only reveals a fact about thinking, not about reality? [Meillassoux] |
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] |
19663 | We can allow contradictions in thought, but not inconsistency [Meillassoux] |
19664 | Paraconsistent logics are to prevent computers crashing when data conflicts [Meillassoux] |
19665 | Paraconsistent logic is about statements, not about contradictions in reality [Meillassoux] |
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] |
19677 | What is mathematically conceivable is absolutely possible [Meillassoux] |
19659 | The absolute is the impossibility of there being a necessary existent [Meillassoux] |
19662 | It is necessarily contingent that there is one thing rather than another - so something must exist [Meillassoux] |
19654 | We must give up the modern criterion of existence, which is a correlation between thought and being [Meillassoux] |
12887 | A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim] |
19660 | Possible non-being which must be realised is 'precariousness'; absolute contingency might never not-be [Meillassoux] |
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] |
19671 | The idea of chance relies on unalterable physical laws [Meillassoux] |
19651 | Unlike speculative idealism, transcendental idealism assumes the mind is embodied [Meillassoux] |
19647 | The aspects of objects that can be mathematical allow it to have objective properties [Meillassoux] |
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] |
19652 | How can we mathematically describe a world that lacks humans? [Meillassoux] |
19668 | Hume's question is whether experimental science will still be valid tomorrow [Meillassoux] |
7459 | Follow maths for necessary truths, and jurisprudence for contingent truths [Hacking] |
19650 | The transcendental subject is not an entity, but a set of conditions making science possible [Meillassoux] |
19667 | If the laws of nature are contingent, shouldn't we already have noticed it? [Meillassoux] |
19670 | Why are contingent laws of nature stable? [Meillassoux] |
19653 | The ontological proof of a necessary God ensures a reality external to the mind [Meillassoux] |
19658 | Now that the absolute is unthinkable, even atheism is just another religious belief (though nihilist) [Meillassoux] |