21 ideas
12105 | Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte] |
12104 | All ideas must be understood historically [Comte] |
12112 | Metaphysics is just the oversubtle qualification of abstract names for phenomena [Comte] |
12106 | Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [Comte] |
12111 | Positivism is the final state of human intelligence [Comte] |
12114 | Science can drown in detail, so we need broad scientists (to keep out the metaphysicians) [Comte] |
12116 | Only positivist philosophy can terminate modern social crises [Comte] |
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] |
12108 | All real knowledge rests on observed facts [Comte] |
12109 | We must observe in order to form theories, but connected observations need prior theories [Comte] |
12107 | Positivism explains facts by connecting particular phenomena with general facts [Comte] |
12115 | Introspection is pure illusion; we can obviously observe everything except ourselves [Comte] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
12113 | The search for first or final causes is futile [Comte] |
12110 | We can never know origins, purposes or inner natures [Comte] |