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] |
7556 | A collection is infinite if you can remove some terms without diminishing its number [Russell] |
8784 | Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright] |
8787 | The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright] |
8788 | Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright] |
8783 | Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright] |
7554 | Self-evidence is often a mere will-o'-the-wisp [Russell] |
22200 | If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle] |
8786 | One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright] |