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Books Books 1 - 10 of 14 on Pure Mathematics is the class of all propositions of the form "p implies q," where....  
" Pure Mathematics is the class of all propositions of the form "p implies q," where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. "
Lectures on Fundamental Concepts of Algebra and Geometry - Page 53
by John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 247 pages
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Mind

Philosophy - 1908
...already been agreed on, and which are capable of being treated by the principles of deduction. " Pure mathematics is the class of all propositions of the form, ' p implies q,' where p and q are propositions containing one or more variables, the same in the two propositions,...
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The Principles of Mathematics, Volume 1

Bertrand Russell - Mathematics - 1903 - 534 pages
...INDEX 529 PART I. THE INDEFINABLES OF MATHEMATICS. CHAPTER I. DEFINITION OF PURE MATHEMATICS. 1. xPuRK Mathematics is the class of all propositions of the form "p implies q" where p and q are propositions containing one or more variables, the same in the two propositions,...
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The Development of Symbolic Logic: A Critical-historical Study of the ...

Arthur Thomas Shearman - Logic, Symbolic and mathematical - 1906 - 242 pages
...throughout his book in justifying his definition of Pure Mathematics, which runs as follows : " Pure Mathematics is the class of all propositions of the form ' p implies y,' where p and q are propositions containing one or more variables, the same in the two propositions,...
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Uber das Wesen der Mathematik: Rede gehalter am 11. Marz 1908 in der ...

Aurel Edmund Voss - Mathematics - 1908 - 98 pages
...Verknüpfung und Trennung. Bei HB Russell (The principles of mathematics Cambridge 1903) heißt es: „Pure mathematics is the class of all propositions of the form p implies q, where p and q are propositions containing one or more variables the same in the two propositions, and...
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LECTURES ON FUNDAMENTAL CONCEPTS OF ALGEBRA AND GEOMETRY

JOHN WESLEY YOUNG - 1911
...mathematics, in the abstract form, says nothing concerning the truth of its propositions.. To give RusselPs serious definition of mathematics, he said that mathematics...the class of all propositions of the form, P implies Q.1 It may be criticized as too broad. It includes more than is usually included by the term " mathematics."...
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The Monist, Volume 22

Edward C. Hegeler - Philosophy - 1912
...124-128. towards explaining the definition of pure mathematics with which Russell's book begins: "Pure mathematics is the class of all propositions of the form 'p implies q,' where p and q are propositions containing one or more variables, the same in the two propositions,...
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Memorabilia mathematica; or, The philomath's quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...Recent Work on the Principles of Mathematics, International Monthly, Vol. 4 (1901), p. 84. 128. Pure Mathematics is the class of all propositions of the form "p implies q," where p and q are propositions containing one or more variables, the same in the two propositions,...
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Memorabilia mathematica; or, The philomath's quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...Recent Work on the Principles of Mathematics, International Monthly, Vol. 4 (1901), p. 84. 128. Pure Mathematics is the class of all propositions of the form "p implies q," where p and q are propositions containing one or more variables, the same in the two propositions,...
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The Monist, Volume 25

Paul Carus - Philosophy - 1915
...definition of "Pure Mathematics" promulgated in the Principles. "Pure Mathematics," Mr. Russell informs us, "is the class of all propositions of the form 'p implies q' where p and q are propositions containing one or more variables, the same in the two propositions,...
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Bulletin of the American Mathematical Society, Volume 11

Mathematics - 1905
...curves/, <£ supplies a certain number of conditional eqna2. The Solution. — Says Russell : Pure mathematics is the class of all propositions of the form "p implies </," where;) and (] are propositions containing one or more variables, the same in the two propositions,...
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