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Journal Article

Introduction to a General Theory of Elementary Propositions

Emil L. Post
American Journal of Mathematics
Vol. 43, No. 3 (Jul., 1921), pp. 163-185 (23 pages)
DOI: 10.2307/2370324
https://www.jstor.org/stable/2370324
Cite this item
  1. Mathematical functions
  2. Logical postulates
  3. Logical theorems
  4. Truth tables
  5. Mathematical theorems
  6. Mathematical sets
  7. Assertion logic
  8. Fundamental theorems
  9. Closed systems
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References

Notes and References

This item contains 13 references.

[Footnotes]
  • *
    This reference contains 3 citations:
    • A. N. Whitehead and B. Russell, Principia Mathematica, Vol. 1, 1910
    • Vol. 2, 1912
    • Vol. 3, 1913. Camb. Univ. Press.
  • Ibid., Vol. 1, part 1, section A.
  • C. I. Lewis, "A Survey of Symbolic Logic," University of California Press, 1918.
  • *
    H. M. Sheffer, "A Set of Five Independent Postulates for Boolean Algebras, with Applications to Logical Constants," Trans. Amer. Math. Soc., 14 (1913), pp. 481-88.
  • J. G. P. Nicod, "A Reduction in the Number of the Primitive Propositions of Logic," Proc. Camb. Phil. Soc., Vol. XIX, Jan., 1917.
  • *
    C. I. Lewis, Loc. Cit., Chapter VI, section III.
  • *
    This reference contains 2 citations:
    • B. Russell in his "Introduction to Mathematical Philosophy," London, 1919, p. 151.
    • Lewis, loc. cit., p. 295.
  • This reference contains 3 citations:
    • 'Prin- cipia,' Vol. 1, p. 8 and p. 120
    • Lewis, loc. citus, p. 74 and pp. 175
    • G. Boole, "An Investigation of the Laws of Thought," London, Walton, 1854, especially pp. 72-76.
  • *
    This reference contains 2 citations:
    • Ernst Schroder, Vor- lesungen uiber die Algebra Der Logik, Leipzig, Teubner; 2. Bd. 1. Abth, 1891; § 32.
    • Lewis (Loc. cit., Chap. IV)
  • Principia, Vol. I, Part A.
  • A. N. Whitehead in his " Univer- sal Algebra," p. 46. Camb. Univ. Press, 1898.
  • B. Russell, loc. cit., chap. XIV.
  • *
    Lewis, loc. cit., p. 222
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