11 ideas
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
18383 | Plantinga says there is just this world, with possibilities expressed in propositions [Plantinga, by Armstrong] |
11891 | Possibilities for an individual can only refer to that individual, in some possible world [Plantinga, by Mackie,P] |
20363 | Leaves are unequal, but we form the concept 'leaf' by discarding their individual differences [Nietzsche] |
20704 | A possible world contains a being of maximal greatness - which is existence in all worlds [Plantinga, by Davies,B] |