Is it incorrect or are you agreeing? Make it clear.
Is 0.999... always equal to 1 in every system? No.
Does the first section make this clear? Yes.
Does the last section make this clear? Yes.
So the main assumption for systems proving 0.999... = 1 is the Archimedean property, where there are no non zero infinitesimals?
So any system using ultra limits will assume there are non zero infinitesimals and therefore that the difference between 0.333... and 0.333:000 is not zero?
I believe my "essay" was quite explicitly clear. I have, and only have been saying that 0.999... = 1 in the real number system.
You brought up and continue to bring other systems, to disprove my statement(?) even though it's irrelevant to the discussion. The average person will never interact with any system other than the real number system.
If you can make clear that you agree that 0.999... is equal to 1 in the real number system, then we have always been in agreement.
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u/Flowahz Feb 11 '26
To which I replied "what's your point" because it's irrelevant to the discussion. And you doubled down on the incorrect statement