29 ideas
8220 | Philosophy is in a perpetual state of digression [Deleuze/Guattari] |
8217 | Philosophy is a concept-creating discipline [Deleuze/Guattari] |
8242 | Philosophy aims at what is interesting, remarkable or important - not at knowledge or truth [Deleuze/Guattari] |
8223 | The plague of philosophy is those who criticise without creating, and defend dead concepts [Deleuze/Guattari] |
8247 | Phenomenology needs art as logic needs science [Deleuze/Guattari] |
8224 | 'Eris' is the divinity of conflict, the opposite of Philia, the god of friendship [Deleuze/Guattari] |
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] |
8219 | Logic has an infantile idea of philosophy [Deleuze/Guattari] |
8246 | Logic hates philosophy, and wishes to supplant it [Deleuze/Guattari] |
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] |
3144 | Everything is what it is, and not another thing [Butler] |
8221 | We cannot judge the Cogito. Must we begin? Must we start from certainty? Can 'I' relate to thought? [Deleuze/Guattari] |
8222 | Concepts are superior because they make us more aware, and change our thinking [Deleuze/Guattari] |
8218 | Other people completely revise our perceptions, because they are possible worlds [Deleuze/Guattari] |
8248 | Phenomenology says thought is part of the world [Deleuze/Guattari] |
8245 | The logical attitude tries to turn concepts into functions, when they are really forms or forces [Deleuze/Guattari] |
8243 | Atheism is the philosopher's serenity, and philosophy's achievement [Deleuze/Guattari] |