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 222by John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 247 pagesFull view - About this book
| 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... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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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