• red@lemmy.zipEnglish
    1·
    6 months ago

    because I assumed continuous mapping the number c is between a and b it means if it has to be mapped to a natural number the natural number has to be between 22 and 23 but there is no natural number between 22 and 23 , it means c is not mapped to anything

    • jsomae@lemmy.ml
      1·
      5 months ago

      Then you did not prove that there is no discontinuous mapping which maps [1, 2] to the natural numbers.