Recent content by RandomAllTime

  1. R

    Graduate What Makes the Axiom of Choice So Controversial?

    I see. I guess it's because I heard that it sort of let's the Banach Tarski Paradox hold true. Thanks for the link.
  2. R

    Graduate What Makes the Axiom of Choice So Controversial?

    Hi guys. So I've been wondering, what's so controversial about the axiom of choice? I heard it allows the Banach-Tarski Paradox to work. A little insight would be much appreciated, thanks.
  3. R

    C/C++ C++ Variable Transfer Help - Ask for Advice

    I am just getting into C++ and I would like to ask you guys for some help regarding transferring variables form one function to another. Is there any way I can declare a variable such that it can be referenced and changed throughout all the programs functions? Thanks.
  4. R

    Undergrad Proof of Infinite Set of Real Numbers Between Two Unequal Real Numbers

    Thank you for the compliment and the wonderful input! I'll be sure to check that out. I would also like to hear about your project.
  5. R

    Undergrad Proof of Infinite Set of Real Numbers Between Two Unequal Real Numbers

    Huh, maybe I'm wrong, but it's interesting to think of ℝ as a sort of fractal object. I mean, as you zoom in there will be infinite line division. The vertical length of line division n would be equal to |n|. The integers can be the taller line divisions while the non integer reals are smaller...
  6. R

    Undergrad Proof of Infinite Set of Real Numbers Between Two Unequal Real Numbers

    Thank you all for the feedback, and please excuse my messed up notation in the original post.