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Books Books 1 - 10 of 82 on Thus mathematics may be defined as the subject in which we never know what we are....  
" Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. "
Space, Time and Gravitation: An Outline of the General Relativity Theory - Page 14
by Sir Arthur Stanley Eddington - 1921 - 218 pages
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The International Quarterly, Volume 4

Frederick Albert Richardson - 1901
...anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in...talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition,...
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The Monist, Volume 20

Edward C. Hegeler - Philosophy - 1910
...real, we can not say that what mathematics teaches is "not true." Nor is it fair to define mathematics as "the subject in which we never know what we are talking about." I understand that Professor Russell bases his view upon the method of some Italian mathematicians who...
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LECTURES ON FUNDAMENTAL CONCEPTS OF ALGEBRA AND GEOMETRY

JOHN WESLEY YOUNG - 1911
...most eminent mathematical logicians of the present time. " Mathematics/' he said, " is the science in which we never know what we are talking about, nor whether what we say is true."1 It is probable that many of our pupils will heartily concur in this definition. We shall...
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Memorabilia mathematica: or, The philomath's quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...anything and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in...talking about, nor whether what we are saying is true. RUSSELL, BEHTRAND. Recent Work on the Principles of Mathematics, International Monthly, Vol. 4 (1901),...
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Memorabilia mathematica: or, The philomath's quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject hi which we never know what we are talking about, nor whether what we are saying is true. RUSSELL, BERTRAND. Recent Work on the Principles of Mathematics, International Monthly, Vol. 4 (1901),...
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Historical Introduction to Mathematical Literature

George Abram Miller - Mathematics - 1916 - 302 pages
...Russell, that * Benjamin Peirce, American Journal of Mathematics, Vol. 4 (1881), p. 97. mathematics is the subject in which we never know what we are talking about nor whether what we are saying is true* is also very instructive if it is properly interpreted. As mathematics has advanced the symbols employed...
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The Educational Bi-monthly, Volume 1

Education - 1907
...anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in...talking about, nor whether what we are saying is true."* In such instances we deal mainly with our own constructions, and the compatibility of our conclusions...
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Catholic World, Volume 104

1917
...— no mean mathematician himself — almost facetiously to remark that " mathematics is the science in which we never know what we are talking about, nor whether what we say is true." By nature a study of ideal constructions which often prove applicable to real problems...
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Lectures on the Philosophy of Mathematics

James Byrnie Shaw - Mathematics - 1918 - 206 pages
...space? Is mathematics the subject1 "in which we never 1 Russell, International Monthly, 4 (1901), p. 84. know what we are talking about, nor whether what we are saying is true?" Does mathematics rest on the granite of the earth, or on the mists of the air, or on the fancies of...
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A History of Mathematics

Florian Cajori - Education - 1919 - 514 pages
...the extreme generality and extreme subtleness of certain parts of modern mathematics: "Mathematics is the subject in which we never know what we are talking about nor whether what we are saying is true." ; Other definitions along similar lines are due to E. Papperitz (1892), G. Itelson (1904), and L. Couturat...
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