@[email protected]M to Science [email protected]English • 1 year agoI just cited myself.mander.xyzimagemessage-square238fedilinkarrow-up1859
arrow-up1859imageI just cited myself.mander.xyz@[email protected]M to Science [email protected]English • 1 year agomessage-square238fedilink
minus-square@[email protected]linkfedilinkEnglish24•1 year agoThat’s not an axiom or definition, it’s a consequence of the axioms that define arithmetic and can therefore be proven.
minus-square@[email protected]linkfedilinkEnglish3•1 year 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-squareJackRiddlelinkfedilinkEnglish7•1 year 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