31 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] |
| 21829 | Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars] |
| 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] |
| 8219 | Logic has an infantile idea of philosophy [Deleuze/Guattari] |
| 8246 | Logic hates philosophy, and wishes to supplant it [Deleuze/Guattari] |
| 8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
| 8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
| 18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
| 8764 | Categories are the best foundation for mathematics [Shapiro] |
| 8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
| 8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
| 8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
| 8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
| 8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
| 8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
| 8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
| 8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
| 8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
| 8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
| 6550 | Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars] |
| 8221 | We cannot judge the Cogito. Must we begin? Must we start from certainty? Can 'I' relate to thought? [Deleuze/Guattari] |
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| 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] |