11 ideas
12302 | Definitions formed an abstract hierarchy for Aristotle, as sets do for us [Fine,K] |
14266 | Aristotle sees hierarchies in definitions using genus and differentia (as we see them in sets) [Fine,K] |
17611 | We want the essence of continuity, by showing its origin in arithmetic [Dedekind] |
10572 | A cut between rational numbers creates and defines an irrational number [Dedekind] |
17612 | Arithmetic is just the consequence of counting, which is the successor operation [Dedekind] |
18087 | If x changes by less and less, it must approach a limit [Dedekind] |
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
14268 | Maybe bottom-up grounding shows constitution, and top-down grounding shows essence [Fine,K] |
14267 | There is no distinctive idea of constitution, because you can't say constitution begins and ends [Fine,K] |
14264 | Is there a plausible Aristotelian notion of constitution, applicable to both physical and non-physical? [Fine,K] |
14265 | The components of abstract definitions could play the same role as matter for physical objects [Fine,K] |