13 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] |
| 19520 | Evidentialism is not axiomatic; the evidence itself inclines us towards evidentialism [Conee] |
| 19521 | If pure guesses were reliable, reliabilists would have to endorse them [Conee] |
| 19522 | More than actual reliability is needed, since I may mistakenly doubt what is reliable [Conee] |
| 19523 | Reliabilism is poor on reflective judgements about hypothetical cases [Conee] |
| 22363 | You have only begun to do real science when you can express it in numbers [Kelvin] |
| 20644 | Energy has progressed from a mere formula, to a principle pervading all nature [Kelvin] |