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A review of Alfred North Whitehead's "Introduction to Mathematics"

Published 19 Feb 2024 in math.HO | (2403.19675v1)

Abstract: In 1911, Alfred North Whitehead published a short book "Introduction to Mathematics" (IM) intended for students wanting an explanation of the fundamental ideas of mathematics. Whitehead's IM has enduring value because it was written not long after he and Bertrand Russell published their monumental three-volume work "Principia Mathematica" (PM) -- a publication of immense historical significance for mathematics. IM sheds light on Whitehead's view of mathematics at that time. Whitehead's book places proofs in predicate logic as the mythical starting point of mathematics, although Whitehead himself was slow to understand the significance of symbolic predicate logic.

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References (15)
  1. Howard Eves. A Survey of Geometry, volume I. Allyn and Bacon, 1963. quoted in https://en.wikipedia.org/wiki/Foundations_of_geometry.
  2. William Ewald. The Emergence of First-Order Logic. In Edward N. Zalta, editor, The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University, Spring 2019 edition, 2019.
  3. David Hilbert. Grundlagen der Geometrie. Springer-Verlag, 1899.
  4. Victor Lowe. Alfred North Whitehead, The Man and His Work, volume I,II. Johns Hopkins, 1985, 1990.
  5. Roger Penrose. The Road to Reality. Jonathan Cape, 2004.
  6. Bertrand Russell. The Problems of Philosophy. Williams and Norgate, 1912.
  7. Principia Mathematica. Cambridge University Press, 1910, 1912, 1913.
  8. B. L. van der Waerden. Moderne Algebra. Springer-Verlag, 1930.
  9. Alfred N Whitehead. A Treatise on Universal Algebra. Cambridge University Press, 1898.
  10. Alfred N Whitehead. The Axioms of Projective Geometry. Cambridge Tracts in Mathematics and Mathematical Physics, 1906a.
  11. Alfred N Whitehead. On mathematical concepts of the material world. Philosophical transactions of the Royal Society of London, A, 205:465–525, 1906b.
  12. Alfred N Whitehead. The Axioms of Descriptive Geometry. Cambridge Tracts in Mathematics and Mathematical Physics, 1907.
  13. Alfred N Whitehead. The philosophy of mathematics. Science progress in the twentieth century, 5:234–239, 1910.
  14. Alfred N Whitehead. An Introduction to Mathematics. Williams and Norgate, 1911.
  15. Alfred N Whitehead. Religion in the Making. Macmillan, 1926.

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