13 ideas
10153 | In everyday language, truth seems indefinable, inconsistent, and illogical [Tarski] |
19141 | Tarski thought axiomatic truth was too contingent, and in danger of inconsistencies [Tarski, by Davidson] |
17879 | Axiomatising set theory makes it all relative [Skolem] |
10048 | There is no clear boundary between the logical and the non-logical [Tarski] |
10694 | Logical consequence is when in any model in which the premises are true, the conclusion is true [Tarski, by Beall/Restall] |
10479 | Logical consequence: true premises give true conclusions under all interpretations [Tarski, by Hodges,W] |
17878 | If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem] |
17880 | Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem] |
10157 | Tarski improved Hilbert's geometry axioms, and without set-theory [Tarski, by Feferman/Feferman] |
17881 | Mathematician want performable operations, not propositions about objects [Skolem] |
18933 | Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius] |
5864 | Destroy seriousness with laughter, and laughter with seriousness [Gorgias] |
9866 | Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato] |