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" 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. "
Memorabilia Mathematica; Or, The Philomath's Quotation-book - Page 7
by Robert Édouard Moritz - 1914 - 410 pages
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Bulletin of the American Mathematical Society

American Mathematical Society - Mathematics - 1905 - 1032 pages
...well expect to hear the warning : Proonl, o procnl este profani ! 2. 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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The Development of Symbolic Logic: A Critical-historical Study of the ...

Arthur Thomas Shearman - History - 1906 - 326 pages
...definition of Pure Mathematics, which runs as follows : * The Principles of Mathematics, p. 1 1 . " Pure Mathematics is the class of all propositions...contains any constants except logical constants." * Here the notion of implication connecting p and q involves some of the indefinables of Symbolic Logic,...
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The Development of Symbolic Logic: A Critical-historical Study of the ...

Arthur Thomas Shearman - History - 1906 - 326 pages
...Principles of Mathematics, p. 1 1 . " Pure Mathematics is the class of all propositions of the form '/> implies q,' where p and q are propositions containing...contains any constants except logical constants." * Here the notion of implication connecting p and q involves some of the indefinables of Symbolic Logic,...
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The Development of Symbolic Logic: A Critical-historical Study of the ...

Arthur Thomas Shearman - History - 1906 - 334 pages
...occupied 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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Rivista di filosofia, Volume 3

Philosophy - 1911 - 746 pages
...queste parole: « Pure < Mathematics is thè class of ali propositions of thè form « p im< plies q », where p and q are propositions containing one or < more variables, thè same in thè two propositions, and neither « p nor q contains any costants except logicai costants...
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The Monist, Volume 20

Paul Carus - Electronic journals - 1910 - 702 pages
.... ., but independent of*. in. All the propositions of pure mathematics are, according to Russell,** of the form "p implies q," where p and q are propositions...q contains any constants except logical constants. Logical constants are all notions definable2* in terms of the following: Implication, the relation...
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Report of the ... Meeting of the British Association for the ..., Volume 80

British Association for the Advancement of Science - Science - 1911 - 1138 pages
...mathematicians under the influence of the ordinary traditions of the science. Mr. Kussell writes:1 'Pure Mathematics is the class of all propositions of the form "p implies rj." where 77 and q are propositions containing one or more variables, the same in the two propositions,...
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La reazione idealistica contro la scienza ...

Antonio Aliotta - Idealism - 1912 - 556 pages
...3). Partendo da 1 » - Pure mathematica ia thè class oi ali propoaitions of thè forni « p impliea q », where p and q are propositions containing one or more variables, thesa me in thè two propositions, and neither p noi q contains any costante except logicai costante...
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The Idealistic Reaction Against Science

Antonio Aliotta - Science - 1914 - 518 pages
...May 1900, p. 259 ff. " The Principles of Mathematics, voL i. (Cambridge, University Frees, 1901). u " Pure mathematics is the class of all propositions...contains any constants except logical constants." The logical constants according to Russell are : implication, the relation of a term to a class of...
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The Monist, Volume 25

Paul Carus - Electronic journals - 1915 - 672 pages
...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...neither p nor q contains any constants except logical constants."55 Elsewhere he tells us, "The variable is, from the formal standpoint, the characteristic...
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