22 ideas
17311 | Real definitions don't just single out a thing; they must also explain its essence [Koslicki] |
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] |
17312 | It is more explanatory if you show how a number is constructed from basic entities and relations [Koslicki] |
1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
17314 | The relata of grounding are propositions or facts, but for dependence it is objects and their features [Koslicki] |
17313 | Modern views want essences just to individuate things across worlds and times [Koslicki] |
17309 | For Fine, essences are propositions true because of identity, so they are just real definitions [Koslicki] |
17315 | We need a less propositional view of essence, and so must distinguish it clearly from real definitions [Koslicki] |
17317 | A good explanation captures the real-world dependence among the phenomena [Koslicki] |
17316 | We can abstract to a dependent entity by blocking out features of its bearer [Koslicki] |
12719 | Clearly, force is that from which action follows, when unimpeded [Leibniz] |
12720 | Time doesn't exist, since its parts don't coexist [Leibniz] |