33 ideas
1597 | Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales] |
15053 | If metaphysics can't be settled, it hardly matters whether it makes sense [Fine,K] |
15054 | 'Quietist' says abandon metaphysics because answers are unattainable (as in Kant's noumenon) [Fine,K] |
13838 | A decent modern definition should always imply a semantics [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] |
13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [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] |
15007 | If you make 'grounding' fundamental, you have to mention some non-fundamental notions [Sider on Fine,K] |
15006 | Something is grounded when it holds, and is explained, and necessitated by something else [Fine,K, by Sider] |
15055 | Grounding relations are best expressed as relations between sentences [Fine,K] |
15050 | Reduction might be producing a sentence which gets closer to the logical form [Fine,K] |
15051 | Reduction might be semantic, where a reduced sentence is understood through its reduction [Fine,K] |
15052 | Reduction is modal, if the reductions necessarily entail the truth of the target sentence [Fine,K] |
15056 | The notion of reduction (unlike that of 'ground') implies the unreality of what is reduced [Fine,K] |
15046 | Reality is a primitive metaphysical concept, which cannot be understood in other terms [Fine,K] |
15047 | What is real can only be settled in terms of 'ground' [Fine,K] |
15048 | In metaphysics, reality is regarded as either 'factual', or as 'fundamental' [Fine,K] |
15060 | Why should what is explanatorily basic be therefore more real? [Fine,K] |
3013 | Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius] |
15061 | Although colour depends on us, we can describe the world that way if it picks out fundamentals [Fine,K] |
15059 | Grounding is an explanation of truth, and needs all the virtues of good explanations [Fine,K] |
15057 | Ultimate explanations are in 'grounds', which account for other truths, which hold in virtue of the grounding [Fine,K] |
15058 | A proposition ingredient is 'essential' if changing it would change the truth-value [Fine,K] |
1494 | Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle] |
1713 | Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle] |
1742 | Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius] |