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.


Euclidean Geometry Synthetic Statement Empirical Statement Linguistic Experience Synthetic Judgment 
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  1. 3.
    All bachelors are unmarried.” The example is Stephen Barker’s in Philosophy of Mathematics (Prentice-Hall, 1964), p. 7.Google Scholar
  2. 4.
    diamonds” The happy metaphor is Morris Kline’s in Mathematics in Western Culture (Oxford, 1953), p. 430.Google Scholar
  3. 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

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© Birkhäuser Boston 2008

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