fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 5 months agoI just cited myself.mander.xyzimagemessage-square168fedilinkarrow-up1816
arrow-up1816imageI just cited myself.mander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 5 months agomessage-square168fedilink
minus-squareSoplinkfedilinkEnglisharrow-up24·5 months agoThat’s not an axiom or definition, it’s a consequence of the axioms that define arithmetic and can therefore be proven.
minus-squareJohnDClay@sh.itjust.workslinkfedilinkEnglisharrow-up3·5 months 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 Riddle@sh.itjust.workslinkfedilinkEnglisharrow-up7·5 months agoThose versions have different axioms from which different things can be proven, but we don’t define 9.9 repeating as 1
minus-squareFeathercrown@lemmy.worldlinkfedilinkEnglisharrow-up2·5 months agoThat’s not what “axiom” means
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