Re: Does a potential infinity actually exist?

OK -- sorry. "Cop-out" was a loaded term.

My real question here is something like "What are the consequences to mathematics if infinite sets are not allowed?"

I don't doubt the usefulness of concepts such as the set of all integers and the set of all reals, but I wonder where it would lead if, instead of answering your question ("So how would we develop a set theory if we insist that infinity has only a potential existence?") as you did, you said rather that only finite collections may be handled by set theory, and that other kinds of collections such as the integers, the reals, etc. require some other kinds of mathematical rules?

Forgive me if this is a stupid question but it is the one I was hoping to get an answer to.
.

Relevant Pages

  • Re: Godels contribution to mathematics
    ... Aww, you left out the best part! ... Godel has made no contribution to mathematics. ... "That thing is useless to me" is different from "That is thing is ... The real question here is why are you saying such trollish things? ...
    (sci.logic)
  • Re: Godels contribution to mathematics
    ... Godel has made no contribution to mathematics. ... "That thing is useless to me" is different from "That is thing is ... The real question here is why are you saying such trollish things? ...
    (sci.logic)