30 ideas
| 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] |
| 22076 | Being is only perceptible to itself as becoming [Schelling] |
| 10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
| 22072 | Schelling always affirmed the absolute status of freedom [Schelling, by Courtine] |
| 21925 | For Schelling the Absolute spirit manifests as nature in which self-consciousness evolves [Schelling, by Lewis,PB] |
| 22045 | Metaphysics aims at the Absolute, which goes beyond subjective and objective viewpoints [Schelling, by Pinkard] |
| 22074 | We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling] |
| 22073 | The basis of philosophy is the Self prior to experience, where it is the essence of freedom [Schelling] |
| 22075 | Only idealism has given us the genuine concept of freedom [Schelling] |
| 20956 | Ultimately, all being is willing. The nature of primal being is the same as the nature of willing [Schelling] |
| 3031 | The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius] |
| 20957 | We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling] |
| 22057 | Schelling sought a union between the productivities of nature and of the mind [Schelling, by Bowie] |
| 22031 | Schelling made organisms central to nature, because mere mechanism could never produce them [Schelling, by Pinkard] |