14 ideas
| 21054 | Reason enables the unbounded extension of our rules and intentions [Kant] |
| 23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
| 23447 | In classical semantics singular terms refer, and quantifiers range over domains [Linnebo] |
| 23443 | The axioms of group theory are not assertions, but a definition of a structure [Linnebo] |
| 23444 | To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo] |
| 23446 | You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo] |
| 23448 | Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo] |
| 23441 | Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo] |
| 23442 | Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo] |
| 7091 | The argument from analogy is not a strong inference, since the other being might be an actor or a robot [Grayling] |
| 21053 | The manifest will in the world of phenomena has to conform to the laws of nature [Kant] |
| 21055 | Our aim is a constitution which combines maximum freedom with strong restraint [Kant] |
| 21056 | The vitality of business needs maximum freedom (while avoiding harm to others) [Kant] |
| 21057 | The highest ideal of social progress is a universal cosmopolitan existence [Kant] |