The World of Mathematics: A Small Library of the Literature of Mathematics from Aʻh-mosé the Scribe to Albert Einstein, Том 3James Roy Newman Simon and Schuster, 1956 - Всего страниц: 2535 |
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Стр. 1720
... measure and count normally , we need exactly 12 tiles , no more and no less , to pave a room that is 3 by 4. And " 3 X 4 24 " is false , because of the " brute fact " that if tiles , etc. , don't ex- pand , and if you measure and count ...
... measure and count normally , we need exactly 12 tiles , no more and no less , to pave a room that is 3 by 4. And " 3 X 4 24 " is false , because of the " brute fact " that if tiles , etc. , don't ex- pand , and if you measure and count ...
Стр. 1943
... measure can be assigned to it . Then came the débacle . For the amazing fact was uncovered that the same problem , when extended to surfaces , was not only unsolvable but led to the most stunning paradoxes . Indeed , the very same ...
... measure can be assigned to it . Then came the débacle . For the amazing fact was uncovered that the same problem , when extended to surfaces , was not only unsolvable but led to the most stunning paradoxes . Indeed , the very same ...
Стр. 1944
... measure cannot uniquely be assigned to the portions of the surface of a sphere so that the above conditions will be ... measure is assigned to A , the same measure must be assigned to B and to C , because A is congruent to B , B is ...
... measure cannot uniquely be assigned to the portions of the surface of a sphere so that the above conditions will be ... measure is assigned to A , the same measure must be assigned to B and to C , because A is congruent to B , B 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 |
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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 ideas 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 geometry 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