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. 1626
... derived , in the sense characterized above , from the Peano postulates , there exist nevertheless other propositions which can be expressed in purely arithmetical terms , and which are true , but which cannot be derived from the Peano ...
... derived , in the sense characterized above , from the Peano postulates , there exist nevertheless other propositions which can be expressed in purely arithmetical terms , and which are true , but which cannot be derived from the Peano ...
Стр. 1683
... derived from the axioms . The way this is done is to employ meta - mathematical reasoning upon the system to be tested . We place ourselves , so to speak , outside the cal- culus and consider how theorems are generated within it . The ...
... derived from the axioms . The way this is done is to employ meta - mathematical reasoning upon the system to be tested . We place ourselves , so to speak , outside the cal- culus and consider how theorems are generated within it . The ...
Стр. 1812
... derived process ) then we are always able to find laws in which these properties are involved ; we find , e.g. , the law that volume is proportional to weight or that density deter- mines , in a certain precise fashion , the sinking or ...
... derived process ) then we are always able to find laws in which these properties are involved ; we find , e.g. , the law that volume is proportional to weight or that density deter- mines , in a certain precise fashion , the sinking or ...
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 fundamental given Goedel number googol googolplex HANS HAHN 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 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