@fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish • 3 days agoI just cited myself.mander.xyzimagemessage-square153fedilinkarrow-up1801
arrow-up1801imageI just cited myself.mander.xyz@fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish • 3 days agomessage-square153fedilink
minus-square@SoplinkEnglish24•3 days agoThat’s not an axiom or definition, it’s a consequence of the axioms that define arithmetic and can therefore be proven.
minus-square@JohnDClay@sh.itjust.workslinkfedilinkEnglish3•3 days agoThere 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.
minus-squareJack RiddlelinkfedilinkEnglish7•3 days agoThose versions have different axioms from which different things can be proven, but we don’t define 9.9 repeating as 1
That’s not an axiom or definition, it’s a consequence of the axioms that define arithmetic and can therefore be proven.
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.
Those versions have different axioms from which different things can be proven, but we don’t define 9.9 repeating as 1
That’s not what “axiom” means