23 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] |
20457 | Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli] |
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] |
20468 | Quantum mechanics deals with processes, rather than with things [Rovelli] |
20467 | Quantum mechanics describes the world entirely as events [Rovelli] |
20469 | There are probably no infinities, and 'infinite' names what we do not yet know [Rovelli] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
20461 | The basic ideas of fields and particles are merged in quantum mechanics [Rovelli] |
20462 | Because it is quantised, a field behaves like a set of packets of energy [Rovelli] |
20463 | There are about fifteen particles fields, plus a few force fields [Rovelli] |
20464 | The world consists of quantum fields, with elementary events happening in spacetime [Rovelli] |
20459 | Electrons only exist when they interact, and their being is their combination of quantum leaps [Rovelli] |
20460 | Electrons are not waves, because their collisions are at a point, and not spread out [Rovelli] |
20466 | Quantum Theory describes events and possible interactions - not how things are [Rovelli] |
20465 | Nature has three aspects: granularity, indeterminacy, and relations [Rovelli] |
20458 | The world is just particles plus fields; space is the gravitational field [Rovelli] |
20470 | Only heat distinguishes past from future [Rovelli] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |