3 ideas
| 8460 | Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian] |
| Full Idea: Successful explications (giving a precise sense to a term) have been found for the concepts of deduction, probability and computability, to name just three. | |
| From: W Quine / J Ullian (The Web of Belief [1970], 65), quoted by Alex Orenstein - W.V. Quine Ch.3 | |
| A reaction: Quine also cites the concept of an 'ordered pair'. Orenstein adds Tarski's definition of truth, Russell's definite descriptions, and the explication of existence in terms of quantifications. Cf. Idea 2958. |
| 10245 | One geometry cannot be more true than another [Poincaré] |
| Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
| From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |
| 7607 | Nagarjuna and others pronounced the world of experience to be an illusion [Nagarjuna, by Armstrong,K] |
| Full Idea: Many later Buddhists (after Nagarjuna, c.120 CE) developed a belief that everything we experience is an illusion: in the West we would call them idealists. | |
| From: report of Nagarjuna (teachings [c.120]) by Karen Armstrong - A History of God Ch.3 | |
| A reaction: This is just one step beyond Plato (who at least hung onto the immediate world as an inferior reality), and is presumably intended to motivate meditators to break out of the misery of existence into a higher realm. Personally I am against it. |