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Re: infinities reformulated
| Date: Tue, 31 May 2005 10:59:56 +0900
| From: Alex Shinn <alexshinn@xxxxxxxxx>
| It cannot be "unlimited" in the sense that it is at least memory
| limited. No matter how much memory you have, you can never exactly
| represent the square root of 2 with a floating point representation
| - that is the definition of irrational ...
| But your original statement was "arbitrarily big," not "unlimited,"
| and this should be allowed. Infinity in this case could be defined
| as the range of all real numbers greater than the largest possible
| BigFloat using all of memory for the exponent.
Very clever! You have rescued the "6.2.2x Inexactness" section (from