3 ideas
| 18844 | You would cripple mathematics if you denied Excluded Middle [Hilbert] |
| Full Idea: Taking the principle of Excluded Middle away from the mathematician would be the same, say, as prohibiting the astronomer from using the telescope or the boxer from using his fists. | |
| From: David Hilbert (The Foundations of Mathematics [1927], p.476), quoted by Ian Rumfitt - The Boundary Stones of Thought 9.4 | |
| A reaction: [p.476 in Van Heijenoort] |
| 3115 | Are meaning and expressed concept the same thing? [Burge, by Segal] |
| Full Idea: It is Burge's view that what a word means should be distinguished from the concept it expresses. | |
| From: report of Tyler Burge (Frege on Extensions from Concepts [1984]) by Gabriel M.A. Segal - A Slim Book about Narrow Content 3.2 | |
| A reaction: Presumably the immediate meaning (e.g. of 'arthritis') is socially determined, while the concept is fixed by history? Or what? |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |