17 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] |
15959 | If the substantial form of brass implies its stability, how can it melt and remain brass? [Alexander,P] |
15956 | The peripatetics treated forms and real qualities as independent of matter, and non-material [Alexander,P] |
22049 | Transcendental idealism aims to explain objectivity through subjectivity [Bowie] |
22055 | The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie] |
22054 | German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie] |
22056 | Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie] |
15975 | Can the qualities of a body be split into two groups, where the smaller explains the larger? [Alexander,P] |
15963 | Science has been partly motivated by the belief that the universe is run by God's laws [Alexander,P] |
15951 | Alchemists tried to separate out essences, which influenced later chemistry [Alexander,P] |
15981 | Absolute space either provides locations, or exists but lacks 'marks' for locations [Alexander,P] |