14 ideas
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
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] |
10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
12732 | Some necessary truths are brute, and others derive from final causes [Leibniz] |
19438 | Our large perceptions and appetites are made up tiny unconscious fragments [Leibniz] |
19415 | Passions reside in confused perceptions [Leibniz] |
19439 | God produces possibilities, and thus ideas [Leibniz] |