15 ideas
6859 | Analytic philosophy has much higher standards of thinking than continental philosophy [Williamson] |
6862 | Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson] |
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
6858 | Formal logic struck me as exactly the language I wanted to think in [Williamson] |
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] |
6863 | Close to conceptual boundaries judgement is too unreliable to give knowledge [Williamson] |
6861 | What sort of logic is needed for vague concepts, and what sort of concept of truth? [Williamson] |
2614 | Modern phenomenalism holds that objects are logical constructions out of sense-data [Ayer] |
6860 | How can one discriminate yellow from red, but not the colours in between? [Williamson] |
2615 | The concept of sense-data allows us to discuss appearances without worrying about reality [Ayer] |