13 ideas
14235 | Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile] |
17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
8845 | An experience's having propositional content doesn't make it a belief [Pryor] |
8842 | The best argument for immediate justification is not the Regress Argument, but considering examples [Pryor] |
8843 | Impure coherentists accept that perceptions can justify, unlike pure coherentists [Pryor] |
8844 | Coherentism rests on the claim that justifications must be beliefs, with propositional content [Pryor] |
8846 | Reasons for beliefs can be cited to others, unlike a raw headache experience [Pryor] |
8847 | Beliefs are not chosen, but you can seek ways to influence your belief [Pryor] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |