27 ideas
| 14519 | It is a great good to show reverence for a wise man [Epicurus] |
| 14518 | In the study of philosophy, pleasure and knowledge arrive simultaneously [Epicurus] |
| 15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
| 17608 | We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo] |
| 17607 | Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo] |
| 10870 | ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg] |
| 13012 | Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy] |
| 17609 | Set theory can be reduced to a few definitions and seven independent axioms [Zermelo] |
| 13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
| 13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
| 13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
| 13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
| 13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
| 18178 | For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy] |
| 13027 | Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy] |
| 9627 | Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR] |
| 14524 | Bodies are combinations of shape, size, resistance and weight [Epicurus] |
| 14521 | If everything is by necessity, then even denials of necessity are by necessity [Epicurus] |
| 14522 | What happens to me if I obtain all my desires, and what if I fail? [Epicurus] |
| 3563 | Pleasure and virtue entail one another [Epicurus] |
| 3560 | Justice is merely a contract about not harming or being harmed [Epicurus] |
| 14517 | We value our own character, whatever it is, and we should respect the characters of others [Epicurus] |
| 14513 | Justice is a pledge of mutual protection [Epicurus] |
| 14515 | A law is not just if it is not useful in mutual associations [Epicurus] |
| 14520 | It is small-minded to find many good reasons for suicide [Epicurus] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |