21 ideas
8349 | The best way to do ontology is to make sense of our normal talk [Davidson] |
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] |
18253 | I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege] |
18166 | The loss of my Rule V seems to make foundations for arithmetic impossible [Frege] |
8348 | If we don't assume that events exist, we cannot make sense of our common talk [Davidson] |
18269 | Logical objects are extensions of concepts, or ranges of values of functions [Frege] |
8347 | Explanations typically relate statements, not events [Davidson] |
10371 | Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J] |
8403 | Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson] |
8346 | Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson] |
4778 | A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos] |