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. 1594
... infinite sets as to finite sets . The concepts " equivalent ” and “ cardinal ... denumerably infinite sets . The meaning of this designation can be explained ... number No as the set of all natural numbers , 1594 Hans Hahn.
... infinite sets as to finite sets . The concepts " equivalent ” and “ cardinal ... denumerably infinite sets . The meaning of this designation can be explained ... number No as the set of all natural numbers , 1594 Hans Hahn.
Стр. 1596
... numbers is denumerably infinite . In order to understand this we have merely to arrange the set of all pairs of natural numbers " diagonally " as indicated in Figure 2 , whereupon we at once obtain the one - to - one correspondence ...
... numbers is denumerably infinite . In order to understand this we have merely to arrange the set of all pairs of natural numbers " diagonally " as indicated in Figure 2 , whereupon we at once obtain the one - to - one correspondence ...
Стр. 1597
... denumerably infinite set of real numbers between 0 and 1. Take as its first digit one differing from the first digit ... denumerably infinite , and we just now saw that the set of all real numbers is not denumerably infinite ...
... denumerably infinite set of real numbers between 0 and 1. Take as its first digit one differing from the first digit ... denumerably infinite , and we just now saw that the set of all real numbers is not denumerably infinite ...
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