 From the present point of view of intuitionism therefore all mathematical sets of units which are entitled to that name can be developed out of the basal intuition, and this can only be done by combining a finite number of times the two operations: "to...  Bulletin of the American Mathematical Society - Page 74by American Mathematical Society - 1914Full view - About this book
 | Felix Kaufmann - 1978 - 270 pages
...clearly that the whole of mathematics can be reduced to the natural numbers Brouwer puts it thus: ". . . all mathematical sets of units which are entitled...number', and 'to create the infinite ordinal number to'; here it is to be understood that for the latter purpose any previously constructed set or any... | |
 | Paul Benacerraf, Hilary Putnam - 1983 - 604 pages
...have learned to reduce all these geometries to arithmetic by means of the calculus of coordinates. 80 From the present point of view of intuitionism therefore...number" and "to create the infinite ordinal number w"; here it is to be understood that for the latter purpose any previously constructed set or any previously... | |
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