15 ideas
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
13412 | Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf] |
13413 | We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf] |
13411 | If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf] |
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] |
13415 | An adequate account of a number must relate it to its series [Benacerraf] |
16066 | Additional or removal of any part changes a thing, so people are never the same person [Epicharmus] |
436 | A dog seems handsome to another a dog, and even a pig to another pig [Epicharmus] |
442 | Pleasures are like pirates - if you are caught they drown you in a sea of pleasures [Epicharmus] |
440 | Hands wash hands; give that you may get [Epicharmus] |
441 | Against a villain, villainy is not a useless weapon [Epicharmus] |
439 | God knows everything, and nothing is impossible for him [Epicharmus] |
443 | Human logos is an aspect of divine logos, and is sufficient for successful living [Epicharmus] |