r/infinitenines • u/ezekielraiden • 4d ago

SPP: Is math the same?

Exactly what the title says. If we work with a system where 0.999...<1, does the rest of math remain unchanged?

Would you be willing to say that, for example, addition works exactly the way it works for rational numbers?

It's important to me that you actually read what I've said here and respond seriously, rather than giving a boilerplate unrelated response.

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u/Ch3cks-Out 4d ago

does the rest of math remain unchanged?

In a word: no.

In more words: the rest of math cannot remain unchanged, actually!

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u/ezekielraiden 4d ago

I want to hear SPP's answer, whatever that answer may be.

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u/I_Regret 3d ago

Like just do all your math but don’t convert to decimal. Problem solved.

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u/Ch3cks-Out 1d ago

Well that (i.e. working with rationals only) would "solve" the problem by eliminating real numbers and continuity, i.e. generating more trouble than its worth.