28 ideas
| 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] |
| 20327 | Modern attention has moved from the intrinsic properties of art to its relational properties [Lamarque/Olson] |
| 20326 | Early 20th cent attempts at defining art focused on significant form, intuition, expression, unity [Lamarque/Olson] |
| 20330 | The dualistic view says works of art are either abstract objects (types), or physical objects [Lamarque/Olson] |
| 20712 | God is 'eternal' either by being non-temporal, or by enduring forever [Davies,B] |
| 20701 | Can God be good, if he has not maximised goodness? [Davies,B] |
| 20702 | The goodness of God may be a higher form than the goodness of moral agents [Davies,B] |
| 20703 | How could God have obligations? What law could possibly impose them? [Davies,B] |
| 20694 | 'Natural theology' aims to prove God to anyone (not just believers) by reason or argument [Davies,B] |
| 20706 | A distinct cause of the universe can't be material (which would be part of the universe) [Davies,B] |
| 20707 | The universe exhibits design either in its sense of purpose, or in its regularity [Davies,B] |
| 20708 | If God is an orderly being, he cannot be the explanation of order [Davies,B] |
| 20710 | Maybe an abnormal state of mind is needed to experience God? [Davies,B] |
| 20711 | A believer can experience the world as infused with God [Davies,B] |
| 20709 | The experiences of God are inconsistent, not universal, and untestable [Davies,B] |
| 20697 | One does not need a full understanding of God in order to speak of God [Davies,B] |
| 20699 | Paradise would not contain some virtues, such as courage [Davies,B] |