Great Currents of Mathematical Thought: Mathematics in the arts and sciencesFrançois Le Lionnais |
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Page 56
... elements and his system required a place for the fifth . It is not by chance that Euclid's Elements comes to a close with the study of the construction of these five polyhedra . In the 18th century Cartesian rationalism certainly ...
... elements and his system required a place for the fifth . It is not by chance that Euclid's Elements comes to a close with the study of the construction of these five polyhedra . In the 18th century Cartesian rationalism certainly ...
Page 162
... elements , I have often pro- voked vehement contradiction . Let my readers try , even if it means making a parlor trick out of this . I pointed out that writing the two lines one under the other , element for element , showed clearly ...
... elements , I have often pro- voked vehement contradiction . Let my readers try , even if it means making a parlor trick out of this . I pointed out that writing the two lines one under the other , element for element , showed clearly ...
Page 257
... elements of infinite sets , and particularly the use of the terms " whatever it may be " and " there exists " ; some ... elements there exists an element possessing a certain property , is to say that either the first of these elements ...
... elements of infinite sets , and particularly the use of the terms " whatever it may be " and " there exists " ; some ... elements there exists an element possessing a certain property , is to say that either the first of these elements ...
Contents
BOOK ONE MATHEMATICS AND THE HUMAN | 3 |
Mathematics in Education and as a Tool by René Dugas | 14 |
BOOK TWO MATHEMATICS AND PHILOSOPHY page | 23 |
Copyright | |
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abstract algebra analysis analytic applications arithmetic atom axiomatic axioms beauty calculus of probabilities Cartesian century classical collection completely concept considered corresponding curve definition Descartes dialectical differential equations discovery domain elementary elements esthetic example existence experience experimental fact field physics finite function fundamental geometry given Greek Henri Poincaré Hilbert Hilbert space human idea ideal infinite infinitesimal integral equations intelligence intuition knowledge laws Leibniz Léon Brunschvicg logic Louis de Broglie Marxism mathe mathematical proof mathematicians mathematics matics means method mind modern nature notion object Paperbound Pascal phenomena philosophy physicists physics plane Poincaré possible principle priori problem progress proof properties propositions pseudosphere Pythagorean quantum theory question reality reason relationship rigor role rules scale scientific solution sound space straight line symbols theorem theory of relativity thought transformations triangle true truth universe of discourse vibrating wave mechanics words