The World of Mathematics: A Small Library of the Literature of Mathematics from Aʻh-mosé the Scribe to Albert Einstein, Том 3Simon and Schuster, 1956 - Всего страниц: 2535 |
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Стр. 1660
... axioms were regarded as absolute truths— absolutely true statements about material space — and as having a certain character of necessity . To have stated the parallel axiom , Axiom 5 above , was to have stated something " obviously ...
... axioms were regarded as absolute truths— absolutely true statements about material space — and as having a certain character of necessity . To have stated the parallel axiom , Axiom 5 above , was to have stated something " obviously ...
Стр. 1661
... parallel to L. " To have in mathematics , simultaneously , two axiom systems г1 and г2 with axioms in T1 denying axioms in r2 as is the case in mathematics today with the euclidean and non - euclidean geometries , would also have been ...
... parallel to L. " To have in mathematics , simultaneously , two axiom systems г1 and г2 with axioms in T1 denying axioms in r2 as is the case in mathematics today with the euclidean and non - euclidean geometries , would also have been ...
Стр. 1728
... axioms them- selves ; and , in particular , it demonstrates the role of the parallel axiom and the axiom of continuity . 5. Non - Euclidean Geometry . The best - known and in many respects most important result of axiomatic ...
... axioms them- selves ; and , in particular , it demonstrates the role of the parallel axiom and the axiom of continuity . 5. Non - Euclidean Geometry . The best - known and in many respects most important result of axiomatic ...
Содержание
Statistics and the Design | 1415 |
Foundations of Vital Statistics by JOHN GRAUNT | 1421 |
First Life Insurance Tables by EDMUND HALLEY | 1437 |
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The World of Mathematics: A Small Library of the Literature of ..., Том 3 James Roy Newman Просмотр фрагмента - 1956 |
The World of Mathematics: A Small Library of the Literature of ..., Том 3 James Roy Newman Просмотр фрагмента - 1956 |
The World of Mathematics: A Small Library of the Literature of ..., Том 3 James Roy Newman Просмотр фрагмента - 1956 |
Часто встречающиеся слова и выражения
algebra arithmetic assertion assumptions average axiom of choice axiomatic axiomatic method Bertrand Russell calculation called cardinal number chance concept consider consistency construction contains counting curve deduction defined definition denumerably infinite derived elements equal equation Ernest Nagel errors Euclid euclidean geometry example experience experimental expression fact false Figure finite number formal formula given Goedel number googol googolplex HANS HAHN Hilbert idea implication infinity integer interpretation intuition Leibniz logic m-class mathe mathematical logic mathematical propositions mathematician matics meaning measure ment meta-mathematical method natural numbers non-Euclidean geometries notion objects observation obtained operation ordinary parallel axiom philosophy physical plane positive number possible postulates principle problem proof proved pure question real numbers reasoning relation represent result rule sample sense sentence sentential calculus sentential function space statement straight line symbols theorems theory things tion transformations triangle true truth variables velocity words