42 ideas
9247 | Life will be lived better if it has no meaning [Camus] |
6707 | Suicide - whether life is worth living - is the one serious philosophical problem [Camus] |
9245 | To an absurd mind reason is useless, and there is nothing beyond reason [Camus] |
10775 | The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp] |
10766 | Logic is either for demonstration, or for characterizing structures [Tharp] |
9244 | Logic is easy, but what about logic to the point of death? [Camus] |
10767 | Elementary logic is complete, but cannot capture mathematics [Tharp] |
10769 | Second-order logic isn't provable, but will express set-theory and classic problems [Tharp] |
10762 | In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp] |
10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp] |
10765 | Soundness would seem to be an essential requirement of a proof procedure [Tharp] |
10763 | Completeness and compactness together give axiomatizability [Tharp] |
10770 | If completeness fails there is no algorithm to list the valid formulas [Tharp] |
10771 | Compactness is important for major theories which have infinitely many axioms [Tharp] |
10772 | Compactness blocks infinite expansion, and admits non-standard models [Tharp] |
10764 | A complete logic has an effective enumeration of the valid formulas [Tharp] |
10768 | Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp] |
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] |
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] |
9249 | Whether we are free is uninteresting; we can only experience our freedom [Camus] |
9253 | The human heart has a tiresome tendency to label as fate only what crushes it [Camus] |
9250 | Discussing ethics is pointless; moral people behave badly, and integrity doesn't need rules [Camus] |
9252 | The more one loves the stronger the absurd grows [Camus] |
9251 | One can be virtuous through a whim [Camus] |
9243 | If we believe existence is absurd, this should dictate our conduct [Camus] |
6708 | Happiness and the absurd go together, each leading to the other [Camus] |
9242 | Essential problems either risk death, or intensify the passion of life [Camus] |
9246 | Danger and integrity are not in the leap of faith, but in remaining poised just before the leap [Camus] |
9248 | It is essential to die unreconciled and not of one's own free will [Camus] |