59 ideas
9247 | Life will be lived better if it has no meaning [Camus] |
6707 | Suicide - whether life is worth living - is the one serious philosophical problem [Camus] |
9245 | To an absurd mind reason is useless, and there is nothing beyond reason [Camus] |
15716 | If axioms and their implications have no contradictions, they pass my criterion of truth and existence [Hilbert] |
9244 | Logic is easy, but what about logic to the point of death? [Camus] |
18844 | You would cripple mathematics if you denied Excluded Middle [Hilbert] |
17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
9633 | No one shall drive us out of the paradise the Cantor has created for us [Hilbert] |
12460 | We extend finite statements with ideal ones, in order to preserve our logic [Hilbert] |
12462 | Only the finite can bring certainty to the infinite [Hilbert] |
12455 | The idea of an infinite totality is an illusion [Hilbert] |
12457 | There is no continuum in reality to realise the infinitely small [Hilbert] |
17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
9546 | Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara] |
18742 | Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew] |
18217 | Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H] |
17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
17697 | The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert] |
17698 | Logic already contains some arithmetic, so the two must be developed together [Hilbert] |
10113 | The grounding of mathematics is 'in the beginning was the sign' [Hilbert] |
10115 | Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman] |
22293 | Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter] |
12459 | The subject matter of mathematics is immediate and clear concrete symbols [Hilbert] |
10116 | Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman] |
18112 | Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
9249 | Whether we are free is uninteresting; we can only experience our freedom [Camus] |
9253 | The human heart has a tiresome tendency to label as fate only what crushes it [Camus] |
20289 | Ethics is universalisable - it must involve an impartial and universal view of things [Singer] |
9250 | Discussing ethics is pointless; moral people behave badly, and integrity doesn't need rules [Camus] |
20286 | Following an inner voice for morality is irresponsible in a rational agent [Singer] |
20282 | The sanctity of a human life depends either on being of our species, or on being a person [Singer] |
9252 | The more one loves the stronger the absurd grows [Camus] |
20278 | 'Marginal utility' says something is more useful if it is in short supply [Singer] |
20281 | Why should I do anything for posterity? What has posterity ever done for me? [Singer] |
9251 | One can be virtuous through a whim [Camus] |
20276 | Conflict of rules might be avoided by greater complexity, or by a hierarchy of rules [Singer] |
9243 | If we believe existence is absurd, this should dictate our conduct [Camus] |
6708 | Happiness and the absurd go together, each leading to the other [Camus] |
20290 | Psychopaths may just be bored, because they cannot participate in normal emotional life [Singer] |
9242 | Essential problems either risk death, or intensify the passion of life [Camus] |
9246 | Danger and integrity are not in the leap of faith, but in remaining poised just before the leap [Camus] |
20288 | You can't condemn violent revolution without assessing the evils it prevents [Singer] |
21997 | In Marxism the state will be superseded [Singer] |
20287 | If 49% of the population can be wrong, so can 51% [Singer] |
21993 | Materialist history says we are subject to incomprehensible forces [Singer] |
20277 | Equality of interests is a minimal principle, not implying equal treatment [Singer] |
20279 | Equality of opportunity unfairly rewards those lucky enough to have great ability [Singer] |
20285 | If a right entails having the relevant desire, many creatures might have no right to life [Singer] |
20284 | Why should a potential person have the rights of an actual person? [Singer] |
9248 | It is essential to die unreconciled and not of one's own free will [Camus] |
20283 | Killing a chimp is worse than killing a human too defective to be a person [Singer] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |