33 ideas
19081 | Coherence with a set of propositions suggests we can know the proposition corresponds [Davidson, by Donnellan] |
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] |
17536 | If it can't be expressed mathematically, it can't occur in nature? [Heisenberg] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
17545 | Quantum theory shows that exact science does not need dogmatic realism [Heisenberg] |
17538 | Quantum theory does not introduce minds into atomic events [Heisenberg] |
17534 | A 'probability wave' is a quantitative version of Aristotle's potential, a mid-way type of reality [Heisenberg] |
17553 | We can retain the idea of 'substance', as indestructible mass or energy [Heisenberg] |
17544 | Basic particles have a mathematical form, which is more important than their substance [Heisenberg] |
8806 | The concepts of belief and truth are linked, since beliefs are meant to fit reality [Davidson] |
8252 | Davidson believes experience is non-conceptual, and outside the space of reasons [Davidson, by McDowell] |
8255 | Davidson says the world influences us causally; I say it influences us rationally [McDowell on Davidson] |
8804 | Reasons for beliefs are not the same as evidence [Davidson] |
8802 | Sensations lack the content to be logical; they cause beliefs, but they cannot justify them [Davidson] |
8801 | Coherent justification says only beliefs can be reasons for holding other beliefs [Davidson] |
8805 | Skepticism is false because our utterances agree, because they are caused by the same objects [Davidson] |
17550 | We give a mathematical account of a system of natural connections in order to clarify them [Heisenberg] |
18703 | Davidson's Cogito: 'I think, therefore I am generally right' [Davidson, by Button] |
17549 | Seven theories in science: mechanics, heat, electricity, quantum, particles, relativity, life [Heisenberg, by PG] |
17540 | Energy is that which moves, and is the substance from which everything is made [Heisenberg] |
17541 | Energy is an unchanging substance, having many forms, and causing all change [Heisenberg] |
17548 | Maxwell introduced real fields, which transferred forces from point to point [Heisenberg] |
17533 | Radiation interference needs waves, but radiation photoelectric effects needs particles [Heisenberg] |
17532 | An atom's stability after collisions needs explaining (which Newton's mechanics can't do) [Heisenberg] |
17537 | Position is complementary to velocity or momentum, so the whole system is indeterminate [Heisenberg] |
17551 | It was formerly assumed that electromagnetic waves could not be a reality in themselves [Heisenberg] |
17543 | So-called 'empty' space is the carrier of geometry and kinematics [Heisenberg] |
17552 | In relativity the length of the 'present moment' is relative to distance from the observer [Heisenberg] |