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September 20th, 2009, 03:29 PM
|  | Grand Panjandrum | | Join Date: Nov 2005 Location: South of England
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Originally Posted by seld  I'm not so sure I buy that the number of things that can be said about math is countably infinite . . . I'm pretty sure we can make a bijection to  | Since to say anything means to compose a finite sentence from a finite alphabet, countably infinite is all you can achieve.
To do what you claim would make all reals nameable but they are not.
CB
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September 21st, 2009, 05:08 AM
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Quote:
Originally Posted by CaptainBlack Since to say anything means to compose a finite sentence from a finite alphabet, countably infinite is all you can achieve.
To do what you claim would make all reals nameable but they are not.
CB | The set of all mathematical truths, however, is surely uncountably infinite. |
September 21st, 2009, 08:01 AM
| | Grand Panjandrum | | Join Date: Nov 2005 Location: South of England
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Quote:
Originally Posted by Swlabr The set of all mathematical truths, however, is surely uncountably infinite. | May be, may be not. It is an assertion of faith, certainly not accepted by all constructivists.
(Also not relevant to the current discussion such as it is)
CB
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