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" The ideal of mathematics," writes Dr. Whitehead,1 "should be to erect a calculus to facilitate reasoning in connexion with every province of thought, or of external experience, in which the succession of thoughts or of events can be definitely ascertained... "
The Teaching of Algebra (including Trigonometry) - 5. lappuse
autors: Sir Thomas Percy Nunn - 1919 - 616 lapas
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A Treatise on Universal Algebra: With Applications

Alfred North Whitehead - 1898 - 586 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
...: * " 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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The Teaching of Algebra (including Trigonometry)

Sir Thomas Percy Nunn, Thomas Percy Nunn - 1914 - 616 lapas
...commonly expressed in the form n(n - 1) , (x + a)" = x" + nx"~la + - •-— ?» — -xa~2a~ + . . . + a" could ever have been reached without the aid of...of course, much too wide for our present purpose, but it brings out a point of great importance. The algebra with which we are all familiar is only one...
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The Teaching of Algebra (including Trigonometry)

Sir Thomas Percy Nunn - 1914 - 616 lapas
...the generalization commonly expressed in the form (x + a)" = x" + nx"~la + —TO — -x'"~V + . . . + a" could ever have been reached without the aid of...of course, much too wide for our present purpose, but it brings out a point of great importance. The algebra with which we are all familiar is only one...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 410 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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Mind, Modality, Meaning, and Method

Richard M. Martin - 1983 - 225 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 - 484 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 - 208 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 - 2004 - 259 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, Astor Professor of British History Martin Daunton - 2005 - 424 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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