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Geometry and the Diamond Theory of Truth

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The Non-Euclidean Revolution
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Abstract

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.

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Notes

  1. All bachelors are unmarried.” The example is Stephen Barker’s in Philosophy of Mathematics (Prentice-Hall, 1964), p. 7.

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  2. diamonds” The happy metaphor is Morris Kline’s in Mathematics in Western Culture (Oxford, 1953), p. 430.

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  3. 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).

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© 2008 Birkhäuser Boston

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(2008). Geometry and the Diamond Theory of Truth. In: The Non-Euclidean Revolution. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4783-4_3

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  • DOI: https://doi.org/10.1007/978-0-8176-4783-4_3

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4782-7

  • Online ISBN: 978-0-8176-4783-4

  • eBook Packages: Springer Book Archive

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