Hmmm, there seem to be two approaches to this that have been semi-overlooked, and both disprove this (AFAICT):
1/infinity IS NOT a real number because infinity is not a real number. If this is the case, you cannot logically prove the theory using a non-existing number (not sure why "i" is used...)
1/infinity IS a real number because it has SOME positive value (however infintesimally small). If this is true, and it has value, then 1.0 != 0.9r but rather 1.0 = 0.9r + 1/infinity, whatever value that may be.
In either case it's a quirk of human logistics rather than mathematical fact.
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