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. 1636
... POSTULATES The inadequacy of Euclid's own set of postulates illustrates a point which is crucial for the axiomatic method in modern mathematics : Once the postulates for a theory have been laid down , every further proposi- tion of ...
... POSTULATES The inadequacy of Euclid's own set of postulates illustrates a point which is crucial for the axiomatic method in modern mathematics : Once the postulates for a theory have been laid down , every further proposi- tion of ...
Стр. 1638
... postulates , it follows that a mathematical theorem , such as the Pythagorean theorem in geometry , asserts nothing that is objectively or theoretically new as compared with the postulates from which it is derived , although its ...
... postulates , it follows that a mathematical theorem , such as the Pythagorean theorem in geometry , asserts nothing that is objectively or theoretically new as compared with the postulates from which it is derived , although its ...
Стр. 1648
... postulates . " Also the use in non - mathematical writings of such phrases as " It is axiomatic that . . . , " and " It is a fundamental postulate of . . . , " in the sense of something being " universal " or beyond opposition , is ...
... postulates . " Also the use in non - mathematical writings of such phrases as " It is axiomatic that . . . , " and " It is a fundamental postulate of . . . , " in the sense of something being " universal " or beyond opposition , is ...
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