21 ideas
1542 | Diogenes of Apollonia was the last natural scientist [Diogenes of Apollonia, by Simplicius] |
10842 | The fact which is stated by a true sentence is not something in the world [Strawson,P] |
10843 | Facts aren't exactly true statements, but they are what those statements say [Strawson,P] |
10844 | The statement that it is raining perfectly fits the fact that it is raining [Strawson,P] |
10841 | The word 'true' always refers to a possible statement [Strawson,P] |
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] |
489 | Each thing must be in some way unique [Diogenes of Apollonia] |
483 | Start a thesis with something undisputable [Diogenes of Apollonia] |
1544 | Perception must be an internal matter, because we can fail to perceive when we are preoccupied [Diogenes of Apollonia, by Theophrastus] |
24042 | The older Diogenes said the soul is air, made of the smallest particles [Diogenes of Apollonia] |
5995 | Diogenes of Apollonia offered the first teleological account of cosmology [Diogenes of Apollonia, by Robinson,TM] |
488 | Air is divine, because it is in and around everything, and arranges everything [Diogenes of Apollonia] |
484 | Everything is ultimately a variation of one underlying thing [Diogenes of Apollonia] |
486 | Plants and animals can only come into existence if something fixes their species [Diogenes of Apollonia] |
485 | Things must retain their essential nature during change, or mixing would be impossible [Diogenes of Apollonia] |