Geometry and the Diamond Theory of Truth
Reviewing the last chapter I am reminded of how awed I was by geometry when I studied it in high school, and of how that feeling deepened when, years later, I read the Elements itself. Based on what seemed indubitable principles, buttressed by what I found to be impeccable logic, Euclid’s edifice loomed in my consciousness as a marvel among sciences, unique in its clarity and unquestionable validity.
KeywordsEuclidean Geometry Synthetic Statement Empirical Statement Linguistic Experience Synthetic Judgment
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- 3.“All bachelors are unmarried.” The example is Stephen Barker’s in Philosophy of Mathematics (Prentice-Hall, 1964), p. 7.Google Scholar
- 4.“diamonds” The happy metaphor is Morris Kline’s in Mathematics in Western Culture (Oxford, 1953), p. 430.Google Scholar
- 5.Some scholars. E.g., Bruno Snell in The Discovery of the Mind in Greek Philosophy and Literature (1960; Dover reprint, 1982); Julian Jaynes in The Origin of Consciousness in the Breakdown of the Bicameral Mind (Houghton Mifflin, 1982).Google Scholar