10 ideas
| 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] |
| 17611 | We want the essence of continuity, by showing its origin in arithmetic [Dedekind] |
| 10572 | A cut between rational numbers creates and defines an irrational number [Dedekind] |
| 17612 | Arithmetic is just the consequence of counting, which is the successor operation [Dedekind] |
| 7556 | A collection is infinite if you can remove some terms without diminishing its number [Russell] |
| 18087 | If x changes by less and less, it must approach a limit [Dedekind] |
| 7554 | Self-evidence is often a mere will-o'-the-wisp [Russell] |
| 5987 | Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von] |
| 24043 | Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle] |