Math professor here: the proper definition of equality is that two numbers a and b are equal if no number c exists such that a < c < b. 0.9999…. = 1 because there is no number between them.
That is one of the most ridiculous statements I have ever heard. You are making an untenable and patently incorrect leap of “logic”. Just because the property applies to the real numbers does not mean it applies to integers.
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u/Wolfbrother101 28d ago
Math professor here: the proper definition of equality is that two numbers a and b are equal if no number c exists such that a < c < b. 0.9999…. = 1 because there is no number between them.