10 ideas
2676 | Didactic argument starts from the principles of the subject, not from the opinions of the learner [Aristotle] |
2675 | Reasoning is a way of making statements which makes them lead on to other statements [Aristotle] |
2677 | Dialectic aims to start from generally accepted opinions, and lead to a contradiction [Aristotle] |
2674 | Competitive argument aims at refutation, fallacy, paradox, solecism or repetition [Aristotle] |
15943 | Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann] |
16967 | 'Are Coriscus and Callias at home?' sounds like a single question, but it isn't [Aristotle] |
10245 | One geometry cannot be more true than another [Poincaré] |
13672 | All the axioms for mathematics presuppose set theory [Neumann] |
16149 | Generic terms like 'man' are not substances, but qualities, relations, modes or some such thing [Aristotle] |
11840 | Only if two things are identical do they have the same attributes [Aristotle] |