31 ideas
| 14611 | Metaphysics should avoid talk of past, present or future [Smart] |
| 17070 | Coherence is consilience, simplicity, analogy, and fitting into a web of belief [Smart] |
| 17072 | We need comprehensiveness, as well as self-coherence [Smart] |
| 8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
| 13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
| 6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
| 9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
| 9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
| 8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
| 22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
| 8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
| 10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
| 10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
| 14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
| 1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
| 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] |
| 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] |
| 17061 | Explanation of a fact is fitting it into a system of beliefs [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] |
| 22405 | Negative utilitarianism implies that the world should be destroyed, to avoid future misery [Smart] |
| 22404 | Any group interested in ethics must surely have a sentiment of generalised benevolence [Smart] |
| 6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |
| 14613 | Special relativity won't determine a preferred frame, but we can pick one externally [Smart] |
| 17063 | Unlike Newton, Einstein's general theory explains the perihelion of Mercury [Smart] |
| 14615 | If time flows, then 'how fast does it flow?' is a tricky question [Smart] |
| 14614 | The past, present, future and tenses of A-theory are too weird, and should be analysed indexically [Smart] |