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" The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every province of thought, or of external experience, in which the succession of thoughts, or of events can be definitely ascertained and precisely stated.... "
The Teaching of Algebra (including Trigonometry) - 5. lappuse
autors: Sir Thomas Percy Nunn - 1914 - 616 lapas
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A Treatise on Universal Algebra: With Applications, 1. sējums

Alfred North Whitehead - 1898 - 624 lapas
...interest. The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every province of thought, or of external experience,...shall be mathematics developed by means of a calculus. It is the object of the present work to exhibit the new algebras, in their detail, as being useful...
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School: A Monthly Record of Educational Thought and Progress, 4. sējums

1905 - 272 lapas
...: * " The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every province of thought, or of external experience, in which the successions of thoughts or of events can be definitely ascertained and precisely stated. So that all...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 434 lapas
...S87. 119. The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every province of thought, or of external experience,...shall be mathematics developed by means of a calculus. WHITEHEAD, AN Universal Algebra (Cambridge, 1898), Preface. 120. Mathematics is the science which draws...
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Immanuel Kant: A Study and a Comparison with Goethe, Leonardo Da ..., 2. sējums

Houston Stewart Chamberlain - 1914 - 554 lapas
...connection with every province of thought or external experience, in which the succession of thoughts or events can be definitely ascertained and precisely...shall be mathematics developed by means of a calculus. . . . Such Algebras are mathematical sciences, which are essentially concerned with number or quantity...
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The Teaching of Algebra (including Trigonometry)

Sir Thomas Percy Nunn, Thomas Percy Nunn - 1919 - 654 lapas
...that the generalization commonly expressed in the form (a; + a)" = x" + nx"~la + ^ 'x"~2a2 + . . . + a" could ever have been reached without the aid of...of course, much too wide for our present purpose, hut it brings out a point of great importance. The algebra with which we are all familiar is only one...
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Mind, Modality, Meaning, and Method

Richard M. Martin - 1983 - 248 lapas
...interest. The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every province of thought, or of external experience,...be mathematics developed by means of a calculus." These remarks, among the very first that Whitehead ever penned for publication, enunciate a leading...
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Mathematically Speaking: A Dictionary of Quotations

C.C. Gaither, Alma E Cavazos-Gaither - 1998 - 506 lapas
...(p. vi) The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every province of thought, or of external experience, in which the succession of thoughts, or of external experience, in which the succession of thoughts, or of events can be definitely ascertained...
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Whitehead: un univers en essai

Bertrand Saint-Sernin - 2000 - 210 lapas
...Universal Algebra, Cambridge University Press, 1 898 : « The ideal of mathematics should be toerect a calculus to facilitate reasoning in connexion with...can be definitely ascertained and precisely stated » (p. vin ). 2. Essays : « Mathematics is the most powerful technique for the understanding of pattems,...
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The Philosophy of Whitehead, 12. sējums

W. Mays - 2002 - 272 lapas
...opinion that The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every province of thought, or of external experience,...that all serious thought which is not philosophy, or intuitive reasoning, or imaginative literature, shall be mathematics developed by means of a calculus'.1...
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The Organisation of Knowledge in Victorian Britain

Martin Daunton - 2005 - 444 lapas
...should be to erect a calculus to facilitate reasoning in connection with every providence of thought, or external experience, in which the succession of thoughts,...literature, shall be mathematics developed by means of a calculus.2 Whitehead thus envisioned mathematics in 1898 as a discipline that applied to a much larger...
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