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It annoys me when people try to argue that (0.99...) != 1 because "infinity goes on forever, it's not a number!" though, without understanding the difference be
by anaphor 13y ago
It annoys me when people try to argue that (0.99...) != 1 because "infinity goes on forever, it's not a number!" though, without understanding the difference between a representation of a number and the number itself.
- GregBuchholz 13y agoOf course that argument only applies when talking about the standard real number system. http://arxiv.org/pdf/1007.3018.pdf?origin=publication_detail http://arxiv.org/pdf/1007.3018.pdf?origin=publication_detail http://arxiv.org/pdf/0811.0164.pdf http://arxiv.org/pdf/0811.0164.pdf ...of course you can make a pretty good case that uncountable, uncomputable, unnameable, unknowable "real" numbers don't exist. http://arxiv.org/abs/math/0404335 http://arxiv.org/abs/math/0404335 ...(the impatient should jump to chapter 5). And maybe also: http://web.maths.unsw.edu.au/~norman/views2.htm http://web.maths.unsw.edu.au/~norman/views2.htm