35 ideas
9307 | Modern Western culture suddenly appeared in Jena in the 1790s [Svendsen] |
9297 | You can't understand love in terms of 'if and only if...' [Svendsen] |
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] |
10502 | We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P] |
10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
9308 | If subjective and objective begin to merge, then so do primary and secondary qualities [Svendsen] |
18258 | We can only know the exterior world via our ideas [Arnauld,A/Nicole,P] |
16784 | Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P] |
10499 | We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P] |
10501 | A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P] |
10500 | No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P] |
9309 | Emotions have intentional objects, while a mood is objectless [Svendsen] |
9304 | Death appears to be more frightening the less one has lived [Svendsen] |
9298 | We can be unaware that we are bored [Svendsen] |
9301 | Boredom is so radical that suicide could not overcome it; only never having existed would do it [Svendsen] |
9302 | We are bored because everything comes to us fully encoded, and we want personal meaning [Svendsen] |
9310 | The profoundest boredom is boredom with boredom [Svendsen] |
9311 | We have achieved a sort of utopia, and it is boring, so that is the end of utopias [Svendsen] |
9303 | The concept of 'alienation' seems no longer applicable [Svendsen] |