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[-] Sop@lemmy.blahaj.zone 24 points 4 months ago

That’s not an axiom or definition, it’s a consequence of the axioms that define arithmetic and can therefore be proven.

[-] JohnDClay@sh.itjust.works -4 points 4 months ago

There are versions of math where that isn't true, with infinitesimals that are not equal to zero. So I think it is an axium rather than a provable conclusion.

[-] JackRiddle@sh.itjust.works 7 points 4 months ago

Those versions have different axioms from which different things can be proven, but we don't define 9.9 repeating as 1

[-] Feathercrown@lemmy.world 2 points 4 months ago

That's not what "axiom" means

this post was submitted on 27 Jun 2024
801 points (95.2% liked)

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