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    • silent_water [she/her]
      ·
      2 years ago

      no, emphatically:

      1. an infinite set is countable if there is a one to one mapping between it and the natural numbers. this is easy with the first set as you can literally count off, 1, 2, 3, etc..
      2. the second set is countable in exactly the same way.

      this is extremely basic set theory. you're deeply misinformed.

        • silent_water [she/her]
          ·
          2 years ago

          no shit. I'm saying you can't use an enumerable set to produce a mapping with the reals. the natural numbers are an infinite set yet are definitionally countable as they are the ordinals.

          disengage, you're arguing nonsense with someone with a literal degree in mathematics.

            • ella [any]MA
              ·
              2 years ago

              Respect people's right to disengage

            • silent_water [she/her]
              ·
              2 years ago

              that's the conceit of the joke, the idea that you can use an enumerated list and map them to the reals. if you could do such a thing, you'd immediately fall prey to Cantor's diagonalization argument. the train tracks are a continuum. they can be mapped to the reals. a neverending list of people cannot.

                • WoofWoof91 [comrade/them]
                  ·
                  2 years ago

                  The premise of the joke is incorrect because the joke thinks “infinity = infinity”.

                  i fucking hate maths

            • ella [any]MA
              ·
              2 years ago

              Respect people’s right to disengage

        • silent_water [she/her]
          ·
          2 years ago

          I'm pretty sure it's just a VOOOOTE joke about how there's no difference between the two parties, except aimed at math nerds.

    • replaceable [he/him]
      ·
      edit-2
      2 years ago

      Do you pull the lever killing one person for every integer

      Or do you do nothing, allowing the trolley to kill one person for every real number

      The meme establishes the same mapping on both infinities so both infinities have the same cardinality meaning that actually the second infinity is not continuum but aleph null