17 ideas
8083 | Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin] |
7727 | Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner] |
13451 | The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano] |
13452 | Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano] |
8686 | Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend] |
13449 | We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano] |
13450 | Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano] |
13453 | Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano] |
22277 | Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter] |
13448 | The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano] |
8124 | The highest feelings of mankind can only be transmitted by art [Tolstoy] |
8121 | Art is when one man uses external signs to hand on his feelings to another man [Tolstoy] |
8122 | True works of art transmit completely new feelings [Tolstoy] |
8123 | The purpose of art is to help mankind to evolve better, more socially beneficial feelings [Tolstoy] |
22710 | People estimate art according to their moral values [Tolstoy] |
8064 | We separate the concept of beauty from goodness, unlike the ancients [Tolstoy] |
8125 | The upper classes put beauty first, and thus freed themselves from morality [Tolstoy] |