54 ideas
21852 | Nomads are the basis of history, and yet almost unknowable [Deleuze] |
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] |
21901 | 'Difference' refers to that which eludes capture [Deleuze, by May] |
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] |
22285 | Impredicative definitions are circular, but fine for picking out, rather than creating something [Potter] |
22301 | The Identity Theory says a proposition is true if it coincides with what makes it true [Potter] |
22324 | It has been unfortunate that externalism about truth is equated with correspondence [Potter] |
10702 | Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter] |
10713 | Usually the only reason given for accepting the empty set is convenience [Potter] |
13044 | Infinity: There is at least one limit level [Potter] |
10708 | Nowadays we derive our conception of collections from the dependence between them [Potter] |
13546 | The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter] |
10707 | Mereology elides the distinction between the cards in a pack and the suits [Potter] |
10704 | We can formalize second-order formation rules, but not inference rules [Potter] |
22279 | Frege's sign |--- meant judgements, but the modern |- turnstile means inference, with intecedents [Potter] |
22291 | Deductivism can't explain how the world supports unconditional conclusions [Potter] |
10703 | Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter] |
22295 | Modern logical truths are true under all interpretations of the non-logical words [Potter] |
21838 | Before we seek solutions, it is important to invent problems [Deleuze] |
10712 | If set theory didn't found mathematics, it is still needed to count infinite sets [Potter] |
17882 | It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter] |
22310 | The formalist defence against Gödel is to reject his metalinguistic concept of truth [Potter] |
22298 | Why is fictional arithmetic applicable to the real world? [Potter] |
21908 | Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze] |
21902 | 'Being' is univocal, but its subject matter is actually 'difference' [Deleuze] |
21899 | There is no being beyond becoming [Deleuze] |
21903 | Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May] |
21904 | Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May] |
21847 | Before Being there is politics [Deleuze] |
22287 | If 'concrete' is the negative of 'abstract', that means desires and hallucinations are concrete [Potter] |
21907 | We don't want another new set of categories; we want a variety of flexible categories [Deleuze, by May] |
13043 | A relation is a set consisting entirely of ordered pairs [Potter] |
22284 | 'Greater than', which is the ancestral of 'successor', strictly orders the natural numbers [Potter] |
13042 | If dependence is well-founded, with no infinite backward chains, this implies substances [Potter] |
13041 | Collections have fixed members, but fusions can be carved in innumerable ways [Potter] |
10709 | Priority is a modality, arising from collections and members [Potter] |
22281 | A material conditional cannot capture counterfactual reasoning [Potter] |
22327 | Knowledge from a drunken schoolteacher is from a reliable and unreliable process [Potter] |
21840 | A meeting of man and animal can be deterritorialization (like a wasp with an orchid) [Deleuze] |
21843 | People consist of many undetermined lines, some rigid, some supple, some 'lines of flight' [Deleuze] |
16618 | Intellectual and moral states, and even the soul itself, depend on prime matter for their existence [Blasius, by Pasnau] |
22273 | Traditionally there are twelve categories of judgement, in groups of three [Potter] |
22290 | The phrase 'the concept "horse"' can't refer to a concept, because it is saturated [Potter] |
22283 | Compositionality should rely on the parsing tree, which may contain more than sentence components [Potter] |
22282 | 'Direct compositonality' says the components wholly explain a sentence meaning [Potter] |
22296 | Compositionality is more welcome in logic than in linguistics (which is more contextual) [Potter] |
21853 | We are currently extending capitalism to the whole of society [Deleuze] |
21848 | Some lines (of flight) are becomings which escape the system [Deleuze] |
21851 | The State requires self-preservation, but the war-machine desires destruction [Deleuze] |