 ... argument. I confess that I have not studied the question as to whether he can find further cultural support to meet all the objections of opponents of Intuitionism. It would seem, however, that he would have to drop his insistence that in construction...  Bulletin of the American Mathematical Society - Page 74by American Mathematical Society - 1914Full view - About this book
 | Maila L. Walter - 1990 - 392 pages
...numbers. "This operation is not dependent upon the use of language. To quote Brouwer in this regard: 'neither the ordinary language nor any symbolic language...enable different individuals to build up the same set.' As a consequence of this principle, mathematics is basically independent of language. For the communication... | |
 | Thomas Tymoczko - 1998 - 458 pages
...would have to drop his insistence that in construction of sets (to quote Brouwer [4; p. 86]) "neither ordinary language nor any symbolic language can have...than that of serving as a nonmathematical auxiliary," since no cultural trait on the abstract level of mathematics can be constructed other than by the use... | |
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