25 ideas
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] |
17292 | Avoid 'in virtue of' for grounding, since it might imply a reflexive relation such as identity [Audi,P] |
17295 | Ground relations depend on the properties [Audi,P] |
17297 | A ball's being spherical non-causally determines its power to roll [Audi,P] |
17302 | Ground is irreflexive, asymmetric, transitive, non-monotonic etc. [Audi,P] |
17303 | The best critique of grounding says it is actually either identity or elimination [Audi,P] |
17294 | Grounding is a singular relation between worldly facts [Audi,P] |
17300 | If grounding relates facts, properties must be included, as well as objects [Audi,P] |
17296 | We must accept grounding, for our important explanations [Audi,P] |
17301 | Reduction is just identity, so the two things are the same fact, so reduction isn't grounding [Audi,P] |
17293 | Worldly facts are obtaining states of affairs, with constituents; conceptual facts also depend on concepts [Audi,P] |
22062 | Mental presentation are not empirical, but concern the strivings of the self [Fichte] |
22015 | The thing-in-itself is an empty dream [Fichte, by Pinkard] |
17298 | Two things being identical (like water and H2O) is not an explanation [Audi,P] |
17299 | There are plenty of examples of non-causal explanation [Audi,P] |