Hi Richard,

For many decades now, ever since I first learned about Cantor's infinities, I have been looking for someone with whom I could debate the merits and demerits of the inclusion of the notion into mathematics. You just might be the guy I have been looking for, if you are interested.

If I present my arguments as to why I think the axiom of choice should not be adopted in the foundations of mathematics, thus obviating Cantor's construction, would you be willing to try to refute them? If so, you may choose to do so on this forum or by email. I have a hunch that there aren't many people on this forum who would be interested in that debate, but if you want to do it here, that would be fine with me.

I sincerely hope you are interested.

Warm regards,

Paul

• Interested - yanniru - April 26, 2001 - 18:33 UTC
  • Good, maybe we can both learn something, - paulm - April 27, 2001 - 17:01 UTC
    • Grainy geometry - yanniru - April 27, 2001 - 17:57 UTC
      • Plane out of point? No way. - alexander - April 27, 2001 - 21:25 UTC
        • Not a single point - yanniru - April 27, 2001 - 21:50 UTC
          • Nope, won't work. Matrix does not make a plane or a line. - alexander - April 27, 2001 - 22:10 UTC
            • You do not need to define line in descrete math - yanniru - April 27, 2001 - 22:57 UTC
              • We talking geometry - alexander - April 30, 2001 - 17:51 UTC
• axiom of choice - mathman - April 27, 2001 - 04:04 UTC
  • Here's the connection I see - paulm - April 27, 2001 - 17:52 UTC
    • QM is one of example of discrete math. - alexander - April 27, 2001 - 21:33 UTC
      • I'm talking about finite; not discrete. (NT) - paulm - April 27, 2001 - 21:53 UTC
        • So, what is the diff: non-finite versus discrete? - alexander - April 27, 2001 - 22:13 UTC
          • Finite implies discrete; not the other way around. - paulm - April 28, 2001 - 00:42 UTC