31 ideas
| 12772 | Philosophy is a value- and attitude-driven enterprise [Fraassen] |
| 12771 | Is it likely that a successful, coherent, explanatory ontological hypothesis is true? [Fraassen] |
| 12773 | Analytic philosophy has an exceptional arsenal of critical tools [Fraassen] |
| 12770 | We may end up with a huge theory of carefully constructed falsehoods [Fraassen] |
| 10170 | While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price] |
| 10166 | ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price] |
| 10175 | Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price] |
| 10165 | 'Analysis' is the theory of the real numbers [Reck/Price] |
| 10174 | Mereological arithmetic needs infinite objects, and function definitions [Reck/Price] |
| 10164 | Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price] |
| 10172 | Set-theory gives a unified and an explicit basis for mathematics [Reck/Price] |
| 10167 | Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price] |
| 10169 | Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price] |
| 10179 | There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price] |
| 10181 | Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price] |
| 10182 | There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price] |
| 10168 | Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price] |
| 10178 | Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price] |
| 10176 | Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price] |
| 10177 | Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price] |
| 10171 | The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price] |
| 10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
| 12769 | Inference to best explanation contains all sorts of hidden values [Fraassen] |
| 12768 | We accept many scientific theories without endorsing them as true [Fraassen] |
| 8122 | True works of art transmit completely new feelings [Tolstoy] |
| 8121 | Art is when one man uses external signs to hand on his feelings to another man [Tolstoy] |
| 8124 | The highest feelings of mankind can only be transmitted by art [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] |
| 8125 | The upper classes put beauty first, and thus freed themselves from morality [Tolstoy] |
| 8064 | We separate the concept of beauty from goodness, unlike the ancients [Tolstoy] |