Source: Infinite in All Directions (1988), Ch. 2 : Butterflies and Superstrings, p. 17
Context: Euclid... gave his famous definition of a point: "A point is that which has no parts, or which has no magnitude." …A point has no existence by itself. It exists only as a part of the pattern of relationships which constitute the geometry of Euclid. This is what one means when one says that a point is a mathematical abstraction. The question, What is a point? has no satisfactory answer. Euclid's definition certainly does not answer it. The right way to ask the question is: How does the concept of a point fit into the logical structure of Euclid's geometry?... It cannot be answered by a definition.
“There is little point in demanding minor concessions and relaxations of the abstract, timeless general equilibrium. The light it can throw on human affairs is throw by its most austere and formal version. We are not concerned to ask: How could it possibly work? The useful question is: What does its logical structure imply?”
Source: Epistemics and Economics. (1972), p. 150-1
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G. L. S. Shackle 8
British economist 1903–1992Related quotes
The Human Origin of Morals http://www.positiveatheism.org/hist/mccabe02.htm (1926), p. 59.
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Context: I said earlier that I do not believe an artist's life throws much light upon his works. I do believe, however, that, more often than most people realize, his works may throw light upon his life. An artist with certain imaginative ideas in his head may then involve himself in relationships which are congenial to them.
http://www.zefrank.com/theshow/archives/2007/04/best_of_050806.html
"The Show" (www.zefrank.com/theshow/)
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