32 ideas
3993 | Arguments are nearly always open to challenge, but they help to explain a position rather than force people to believe [Lewis] |
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] |
3990 | The whole truth supervenes on the physical truth [Lewis] |
3991 | Where pixels make up a picture, supervenience is reduction [Lewis] |
10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
3995 | A mind is an organ of representation [Lewis] |
3994 | Human pain might be one thing; Martian pain might be something else [Lewis] |
3989 | I am a reductionist about mind because I am an a priori reductionist about everything [Lewis] |
3992 | Folk psychology makes good predictions, by associating mental states with causal roles [Lewis] |
3996 | Folk psychology doesn't say that there is a language of thought [Lewis] |
3998 | If you don't share an external world with a brain-in-a-vat, then externalism says you don't share any beliefs [Lewis] |
3997 | Nothing shows that all content is 'wide', or that wide content has logical priority [Lewis] |
3999 | A spontaneous duplicate of you would have your brain states but no experience, so externalism would deny him any beliefs [Lewis] |
4000 | Wide content derives from narrow content and relationships with external things [Lewis] |
20890 | Why do sexual relationships need permanence, if other relationships don't? [Punzo] |
20891 | Does engaging in sexual intercourse really need no more thought than playing tennis? [Punzo] |