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The consequence of these features is that a mathematical text is generally not understandable without some prerequisite knowledge. For example, the sentence "a free module is a module that has a basis" is perfectly correct, although it appears only as a grammatically correct nonsense, when one does not know the definitions of basis, module, and free module.
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A term which shortcuts around calculation the mathematician perceives to be tedious or routine, accessible to any member of the audience with the necessary expertise in the field; Laplace used obvious (French: évident). complete intuition commonly reserved for jokes (puns on complete induction). diagram chasing
The Grammar of Science is a book by Karl Pearson first published in hardback in 1892. In 1900, the second edition, published by Adam & Charles Black, appeared. The third, revised, edition was also published by Adam & Charles Black in 1911. It was recommended by Einstein to his friends of the Olympia Academy. Several themes were covered in this ...
The Journal de Mathématiques Pures et Appliquées (ISSN 0021-7824) is a French monthly scientific journal of mathematics, founded in 1836 by Joseph Liouville (editor: 1836–1874). The journal was originally published by Charles Louis Étienne Bachelier. [ 1 ]
A formal grammar describes how to form strings from a language's vocabulary (or alphabet) that are valid according to the language's syntax. The linguist Noam Chomsky theorized that four different classes of formal grammars existed that could generate increasingly complex languages. Each class can also completely generate the language of all ...
Éléments de mathématique (English: Elements of Mathematics) is a series of mathematics books written by the pseudonymous French collective Nicolas Bourbaki. Begun in 1939, the series has been published in several volumes, and remains in progress. The series is noted as a large-scale, self-contained, formal treatment of mathematics. [1] [2]
Wallis' development of a model of English grammar, independent of earlier models based on Latin grammar, is a case in point of the way other sciences helped develop cryptology in his view. [37] Wallis tried to teach his own son John, and his grandson by his daughter Anne, William Blencowe the tricks of the trade.
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