24 ideas
8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
19079 | For idealists reality is like a collection of beliefs, so truths and truthmakers are not distinct [Young,JO] |
19076 | Coherence theories differ over the coherence relation, and over the set of proposition with which to cohere [Young,JO] |
19077 | Two propositions could be consistent with your set, but inconsistent with one another [Young,JO] |
19078 | Coherence with actual beliefs, or our best beliefs, or ultimate ideal beliefs? [Young,JO] |
19084 | Coherent truth is not with an arbitrary set of beliefs, but with a set which people actually do believe [Young,JO] |
19083 | How do you identify the best coherence set; and aren't there truths which don't cohere? [Young,JO] |
19075 | Deflationary theories reject analysis of truth in terms of truth-conditions [Young,JO] |
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] |
19355 | The soul doesn't understand many of its own actions, if perceptions are confused and desires buried [Leibniz] |
19350 | We should say that body is mechanism and soul is immaterial, asserting their independence [Leibniz] |
19074 | Are truth-condtions other propositions (coherence) or features of the world (correspondence)? [Young,JO] |
19082 | Coherence truth suggests truth-condtions are assertion-conditions, which need knowledge of justification [Young,JO] |
19356 | Minds unconsciously count vibration beats in music, and enjoy it when they coincide [Leibniz] |