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The title of this part is: Introduction to a General Theory of Elementary Propositions.
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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)
Published
by: The Johns Hopkins University Press
DOI: 10.2307/2370324
https://www.jstor.org/stable/2370324
- Mathematical functions
- Logical postulates
- Logical theorems
- Truth tables
- Mathematical theorems
- Mathematical sets
- Assertion logic
- Fundamental theorems
- Closed systems
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References
Notes and References
This item contains 13 references.
[Footnotes]
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*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.
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†Ibid., Vol. 1, part 1, section A.
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‡C. I. Lewis, "A Survey of Symbolic Logic," University of California Press, 1918.
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*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.
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†J. G. P. Nicod, "A Reduction in the Number of the Primitive Propositions of Logic," Proc. Camb. Phil. Soc., Vol. XIX, Jan., 1917.
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*C. I. Lewis, Loc. Cit., Chapter VI, section III.
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*This reference contains 2 citations:
- B. Russell in his "Introduction to Mathematical Philosophy," London, 1919, p. 151.
- Lewis, loc. cit., p. 295.
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‡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.
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*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)
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†Principia, Vol. I, Part A.
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‡A. N. Whitehead in his " Univer- sal Algebra," p. 46. Camb. Univ. Press, 1898.
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†B. Russell, loc. cit., chap. XIV.
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*Lewis, loc. cit., p. 222