A real number is the set of both rational and irrational numbers. Nothing about continuous anything.
Comment on Irrational
bstix@feddit.dk 5 months agoCome on then, enlighten the average Joe.
wholookshere@lemmy.blahaj.zone 5 months ago
bstix@feddit.dk 5 months ago
It is exactly that though.
Irrationel and rational numbers are both real.
Quantum physics is limited to the quantum, hence the name.
wholookshere@lemmy.blahaj.zone 5 months ago
Being continuous is not actually a requirement of being real.
kogasa@programming.dev 5 months ago
Google it? Axiomatic definition, dedekind cuts, cauchy sequences are the 3 typical ones and are provably equivalent.