@fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish • 9 months agoI just cited myself.mander.xyzimagemessage-square239fedilinkarrow-up1856
arrow-up1856imageI just cited myself.mander.xyz@fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish • 9 months agomessage-square239fedilink
minus-square@Sop@lemmy.blahaj.zonelinkfedilinkEnglish24•9 months 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•9 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 RiddlelinkfedilinkEnglish7•9 months 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