18 ideas
7081 | Philosophy is not separate from or above empirical science [Neurath] |
6294 | In the beginning was the Word, and the Word was with God, and the word was God [John] |
8821 | Jesus said he bore witness to the truth. Pilate asked, What is truth? [John] |
12452 | Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer] |
15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |
18119 | Mathematics is a mental activity which does not use language [Brouwer, by Bostock] |
18247 | Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro] |
12451 | Scientific laws largely rest on the results of counting and measuring [Brouwer] |
18118 | Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock] |
12454 | Intuitionists only accept denumerable sets [Brouwer] |
12453 | Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer] |
8728 | Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer] |
10486 | If we are rebuilding our ship at sea, we should jettison some cargo [Boolos on Neurath] |
8485 | We must always rebuild our ship on the open sea; we can't reconstruct it properly in dry-dock [Neurath] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
8140 | God is love [John] |
8141 | He that does evil has not seen God [John] |
8139 | If you love the world, then you do not love the Father [John] |