3 ms·

Dude doesn’t believe in infinite sequences, but how many reals are between zero and one?

• floxy 4y ago
  Is there a finite or unbounded amount of mass-energy in our universe?
  • pulvinar 4y ago
    Even if there is a limit to the size of the universe or how small an atom can be subdivided, math's infinity doesn't care-- it just keeps on going.
    • floxy 4y ago
      >math's infinity doesn't care-- it just keeps on going ...in some philosophies of mathematics.
      • pulvinar 4y ago
        And the others have tacked an end on something that literally means "without end". Fun stuff!
  • dekhn 4y ago
    How is that relevant to the question?
• smaddox 4y ago
  He clarifies that infinite sequences are valid, but all infinites are countable. It's an appealing view. Rather than the reals being uncountably infinite, they're countably infinite. Irrational numbers are uncomputable, but all rational numbers can be described, and therefore counted.