11 ideas
| 20771 | Six parts: dialectic, rhetoric, ethics, politics, physics, theology [Cleanthes, by Diog. Laertius] |
| 7557 | To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell] |
| 10059 | In mathematic we are ignorant of both subject-matter and truth [Russell] |
| 17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
| 7556 | A collection is infinite if you can remove some terms without diminishing its number [Russell] |
| 17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
| 7554 | Self-evidence is often a mere will-o'-the-wisp [Russell] |
| 6028 | Bodies interact with other bodies, and cuts cause pain, and shame causes blushing, so the soul is a body [Cleanthes, by Nemesius] |
| 20831 | The soul suffers when the body hurts, creates redness from shame, and pallor from fear [Cleanthes] |
| 17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |
| 5993 | The ascending scale of living creatures requires a perfect being [Cleanthes, by Tieleman] |