3 ms·

so this guy claims he "discovered" Cantor's alef-null? article is full of wrong statements beginning with the very first one.

• xyzzyz 15y ago
  He apparently heard about cardinal and ordinal number -- in his paper he states that his grossone is not the same as aleph 0 or omega. What it actually is, he does not say.
  • Steuard 15y ago
    It's not just that he doesn't say! He explicitly rejects the notion that he ought to say. As far as I'm concerned, that means he's declared to all the world that he is not actually doing mathematics.
• deleted 15y ago
  [deleted]
• ajuc 15y ago
  I don't know if this is exactly like aleph-null. > Because it is governed by the other axioms of real numbers, grossone behaves much like one too. So it's possible to multiply grossone, divide it, add to it and subtract from it, just as is possible with other real numbers How much is aleph-null minus aleph-null? How much elements have set that is difference of two sets with aleph-null size? Can be anything. If they solved this somehow, it's huge. But I can't imagine how they did it, and article had not explained it.
  • keymone 15y ago
    there is no way to solve it because it's not a problem. it's a set of not-defined behaviors by defining which in regular ways you get absurd results. if he managed to define them in a way which doesn't produce nonsense and still useful for solving some real problems - it's cool. but i still don't see the problem itself - mathematicians know how to handle fractals and calculate their properties for decades.