12 ideas
21750 | Science is sympathetic to truth as correspondence, since it depends on observation [Quine] |
10185 | Set theory is the standard background for modern mathematics [Burgess] |
10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
7458 | The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking] |
21748 | More careful inductions gradually lead to the hypothetico-deductive method [Quine] |
3441 | If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace] |
21749 | Altruistic values concern other persons, and ceremonial values concern practices [Quine] |
21751 | Love seems to diminish with distance from oneself [Quine] |