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" A mathematical science is any body of propositions which is capable of an abstract formulation and arrangement in such a way that every proposition of the set after a certain one is a formal logical consequence of some or all the preceding propositions.... "
Lectures on Fundamental Concepts of Algebra and Geometry - Page 222
by John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 247 pages
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LECTURES ON FUNDAMENTAL CONCEPTS OF ALGEBRA AND GEOMETRY

JOHN WESLEY YOUNG - 1911
...is any body of propositions arranged according to a sequence of logical deductions ; ie arranged so that every proposition of the set after a certain one is a formal logical consequence of some or all of the propositions that precede it.1 This definition is open to the criticism that it is too broad...
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Memorabilia mathematica; or, The philomath's quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...KLEIN, FELIX. Anwendung der Differential-und Integralrechnung auf Geometric (Leipzig, 1902), p. 26. 124. A mathematical science is any body of propositions...Mathematics consists of all such mathematical sciences. — YOUNG, CHARLES WESLEY. Fundamental Concepts of Algebra and Geometry (New York, 1911), p. 222. 126....
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Memorabilia mathematica; or, The philomath's quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...things.—KLEIN, FELIX. Anwendung der Differential-und Integralrechnung auf Geometric (Leipzig, 1902), p. 26. 124. A mathematical science is any body of propositions...propositions. Mathematics consists of all such mathematical sciences.—YOUNG, CHARLES WESLEY. Fundamental Concepts of Algebra and Geometry (New York, 1911), p....
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Bulletin of the American Mathematical Society, Volume 18

Mathematics - 1912
...of the abstract method. The following definition of mathematics forms the climax reached in the last lecture: "A mathematical science is any body of propositions...and arrangement in such a way that every proposition after a certain one is a formal logical consequence of some or all the preceding propositions. Mathematics...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - Mathematics - 1997 - 344 pages
...is the development of all types of formal, necessary, deductive reasoning." (AN Whitehead, 122) (d) "A mathematical science is any body of propositions...Mathematics consists of all such mathematical sciences." (JW Young, 124) (e) "Pure mathematics is a collection of hypothetical, deductive theories, each consisting...
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