33 ideas
| 8093 | Seek wisdom rather than truth; it is easier [Joubert] |
| 12036 | Xenophanes began the concern with knowledge [Annas] |
| 12046 | Plato was the first philosopher who was concerned to systematize his ideas [Annas] |
| 8095 | We must think with our entire body and soul [Joubert] |
| 8107 | The love of certainty holds us back in metaphysics [Joubert] |
| 8099 | The truths of reason instruct, but they do not illuminate [Joubert] |
| 8098 | Truth consists of having the same idea about something that God has [Joubert] |
| 10702 | Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter] |
| 10713 | Usually the only reason given for accepting the empty set is convenience [Potter] |
| 13044 | Infinity: There is at least one limit level [Potter] |
| 10708 | Nowadays we derive our conception of collections from the dependence between them [Potter] |
| 13546 | The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter] |
| 10707 | Mereology elides the distinction between the cards in a pack and the suits [Potter] |
| 10704 | We can formalize second-order formation rules, but not inference rules [Potter] |
| 10703 | Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter] |
| 10712 | If set theory didn't found mathematics, it is still needed to count infinite sets [Potter] |
| 17882 | It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter] |
| 13043 | A relation is a set consisting entirely of ordered pairs [Potter] |
| 13042 | If dependence is well-founded, with no infinite backward chains, this implies substances [Potter] |
| 13041 | Collections have fixed members, but fusions can be carved in innumerable ways [Potter] |
| 10709 | Priority is a modality, arising from collections and members [Potter] |
| 8101 | To know is to see inside oneself [Joubert] |
| 8094 | The imagination has made more discoveries than the eye [Joubert] |
| 8103 | A thought is as real as a cannon ball [Joubert] |
| 8100 | Where does the bird's idea of a nest come from? [Joubert] |
| 12037 | Euripides's Medea is a key case of reason versus the passions [Annas] |
| 8096 | He gives his body up to pleasure, but not his soul [Joubert] |
| 8104 | What will you think of pleasures when you no longer enjoy them? [Joubert] |
| 12040 | Virtue is a kind of understanding of moral value [Annas] |
| 8097 | Virtue is hard if we are scorned; we need support [Joubert] |
| 8106 | In raising a child we must think of his old age [Joubert] |
| 8105 | We can't exactly conceive virtue without the idea of God [Joubert] |
| 8102 | We cannot speak against Christianity without anger, or speak for it without love [Joubert] |