Brent Meeker skrev: > Torgny Tholerus wrote: > >> I have written some more about infinity, in the paper attached (3 >> pages), called Infinity Does Not Exist. >> > Well it doesn't exist under the assumption that it doesn't exist. I actually > agree with you that it doesn't exist - though not because it's *logically* > impossible. I think what you've shown is that there are other consistent > number systems - which just illustrates the point that what you get from > logic and mathematics depends on what you take as axioms and rules of > inference. > > But the problem is that a lot of mathematics would become very difficult and > convoluted if we didn't allow infinity (and infinitesimals). This doesn't > bother physicists much because they are accustomed to regarding mathematics > as an approximate model and only using as much "infinity" as seems useful. >
When it concerns mathematics, I have developped a set of integers that I myself call "unnatural numbers". An unnatural number U is an integer that is bigger than every natural number N. And the inverse of an unnatural number (1/U) is more close to zero than any real number. You can count with these unnatural number in the same way as ordinary integers. So you will have that U+1 is not equal to U, and N*N << sqrt(U), and so on. -- Torgny Tholerus --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
