28 ideas
| 21844 | The history of philosophy is an agent of power: how can you think if you haven't read the great names? [Deleuze] |
| 21849 | Thought should be thrown like a stone from a war-machine [Deleuze] |
| 21845 | Philosophy aims to become the official language, supporting orthodoxy and the state [Deleuze] |
| 21839 | When I meet objections I just move on; they never contribute anything [Deleuze] |
| 21841 | We must create new words, and treat them as normal, and as if designating real things. [Deleuze] |
| 21842 | Don't assess ideas for truth or justice; look for another idea, and establish a relationship with it [Deleuze] |
| 21850 | Dualisms can be undone from within, by tracing connections, and drawing them to a new path [Deleuze] |
| 8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
| 21838 | Before we seek solutions, it is important to invent problems [Deleuze] |
| 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] |
| 21847 | Before Being there is politics [Deleuze] |
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| 21840 | A meeting of man and animal can be deterritorialization (like a wasp with an orchid) [Deleuze] |
| 5880 | Xenocrates held that the soul had no form or substance, but was number [Xenocrates, by Cicero] |
| 21843 | People consist of many undetermined lines, some rigid, some supple, some 'lines of flight' [Deleuze] |
| 21848 | Some lines (of flight) are becomings which escape the system [Deleuze] |