24 ideas
17070 | Coherence is consilience, simplicity, analogy, and fitting into a web of belief [Smart] |
17072 | We need comprehensiveness, as well as self-coherence [Smart] |
4742 | Correspondence may be one-many or many one, as when either p or q make 'p or q' true [Armstrong] |
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] |
9497 | Without modality, Armstrong falls back on fictionalism to support counterfactual laws [Bird on Armstrong] |
15550 | Properties are contingently existing beings with multiple locations in space and time [Armstrong, by Lewis] |
4743 | The truth-maker for a truth must necessitate that truth [Armstrong] |
17073 | I simply reject evidence, if it is totally contrary to my web of belief [Smart] |
17077 | The height of a flagpole could be fixed by its angle of shadow, but that would be very unusual [Smart] |
17078 | Universe expansion explains the red shift, but not vice versa [Smart] |
17061 | Explanation of a fact is fitting it into a system of beliefs [Smart] |
17074 | Explanations are bad by fitting badly with a web of beliefs, or fitting well into a bad web [Smart] |
17076 | Deducing from laws is one possible way to achieve a coherent explanation [Smart] |
17071 | An explanation is better if it also explains phenomena from a different field [Smart] |
17062 | If scientific explanation is causal, that rules out mathematical explanation [Smart] |
17075 | Scientific explanation tends to reduce things to the unfamiliar (not the familiar) [Smart] |
4798 | In recent writings, Armstrong makes a direct identification of necessitation with causation [Armstrong, by Psillos] |
17063 | Unlike Newton, Einstein's general theory explains the perihelion of Mercury [Smart] |