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 53by John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 247 pagesFull view - About this book
| 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,... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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."... | |
| 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,... | |
| 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,... | |
| 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,... | |
| 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,... | |
| 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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