27 ideas
23326 | In the third century Stoicism died out, replaced by Platonism, with Aristotelian ethics [Frede,M] |
23335 | In late antiquity nearly all philosophers were monotheists [Frede,M] |
16137 | Earlier views of Aristotle were dominated by 'Categories' [Frede,M] |
23249 | The early philosophers thought that reason has its own needs and desires [Frede,M] |
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] |
16157 | Insurance on the original ship would hardly be paid out if the plank version was wrecked! [Frede,M] |
23334 | For Christians man has free will by creation in God's image (as in Genesis) [Frede,M] |
23337 | The Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M] |
23333 | The idea of free will achieved universal acceptance because of Christianity [Frede,M] |
2170 | Homer does not distinguish between soul and body [Homer, by Williams,B] |
2171 | The 'will' doesn't exist; there is just conclusion, then action [Homer, by Williams,B] |
23336 | There is no will for Plato or Aristotle, because actions come directly from perception of what is good [Frede,M] |
21819 | Plato says the Good produces the Intellectual-Principle, which in turn produces the Soul [Homer, by Plotinus] |
11388 | Let there be one ruler [Homer] |
14829 | Homer so enjoys the company of the gods that he must have been deeply irreligious [Homer, by Nietzsche] |
23313 | The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M] |