• Kogasa
      link
      fedilink
      English
      311 days ago

      Google it? Axiomatic definition, dedekind cuts, cauchy sequences are the 3 typical ones and are provably equivalent.

    • @wholookshere
      link
      English
      111 days ago

      A real number is the set of both rational and irrational numbers. Nothing about continuous anything.

      • @bstix@feddit.dk
        link
        fedilink
        English
        211 days ago

        It is exactly that though.

        Irrationel and rational numbers are both real.

        Quantum physics is limited to the quantum, hence the name.

        • @wholookshere
          link
          English
          311 days ago

          Being continuous is not actually a requirement of being real.