40 ideas
| 3972 | Truth and objectivity depend on a community of speakers to interpret what they mean [Davidson] |
| 3969 | There are no ultimate standards of rationality, since we only assess others by our own standard [Davidson] |
| 192 | Only one thing can be contrary to something [Plato] |
| 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] |
| 190 | If asked whether justice itself is just or unjust, you would have to say that it is just [Plato] |
| 20184 | The only real evil is loss of knowledge [Plato] |
| 20185 | The most important things in life are wisdom and knowledge [Plato] |
| 3960 | There are no such things as minds, but people have mental properties [Davidson] |
| 191 | Everything resembles everything else up to a point [Plato] |
| 3964 | If the mind is an anomaly, this makes reduction of the mental to the physical impossible [Davidson] |
| 3965 | Mental entities do not add to the physical furniture of the world [Davidson] |
| 3961 | Obviously all mental events are causally related to physical events [Davidson] |
| 3963 | There are no strict psychophysical laws connecting mental and physical events [Davidson] |
| 3966 | The correct conclusion is ontological monism combined with conceptual dualism [Davidson] |
| 3967 | Absence of all rationality would be absence of thought [Davidson] |
| 3974 | Our meanings are partly fixed by events of which we may be ignorant [Davidson] |
| 3968 | Propositions explain nothing without an explanation of how sentences manage to name them [Davidson] |
| 3970 | Thought is only fully developed if we communicate with others [Davidson] |
| 3971 | There is simply no alternative to the 'principle of charity' in interpreting what others do [Davidson] |
| 203 | Courage is knowing what should or shouldn't be feared [Plato] |
| 202 | No one willingly and knowingly embraces evil [Plato] |
| 193 | Some things are good even though they are not beneficial to men [Plato] |
| 200 | People tend only to disapprove of pleasure if it leads to pain, or prevents future pleasure [Plato] |
| 197 | Some pleasures are not good, and some pains are not evil [Plato] |
| 189 | If we punish wrong-doers, it shows that we believe virtue can be taught [Plato] |
| 188 | Socrates did not believe that virtue could be taught [Plato] |
| 204 | Socrates is contradicting himself in claiming virtue can't be taught, but that it is knowledge [Plato] |
| 3973 | Without a teacher, the concept of 'getting things right or wrong' is meaningless [Davidson] |
| 3962 | Cause and effect relations between events must follow strict laws [Davidson] |