14 ideas
| 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] |
| 13169 | I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz] |
| 13168 | My formal unifying atoms are substantial forms, which are forces like appetites [Leibniz] |
| 13170 | The analysis of things leads to atoms of substance, which found both composition and action [Leibniz] |
| 13171 | Substance must necessarily involve progress and change [Leibniz] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 13167 | We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz] |