25 ideas
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
21716 | In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B] |
10035 | Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel] |
10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
10038 | A logical system needs a syntactical survey of all possible expressions [Gödel] |
20457 | Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli] |
10046 | The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel] |
10039 | Some arithmetical problems require assumptions which transcend arithmetic [Gödel] |
10043 | Mathematical objects are as essential as physical objects are for perception [Gödel] |
10045 | Impredicative definitions are admitted into ordinary mathematics [Gödel] |
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] |