In article <367F68AE.109532DB@ashland.baysat.net>, Mike Deeth <mad@ashland.baysat.net> writes > --Cut-- > >Hint: there are no infinite sets. (unless you allow infinite natural >numbers) > >Nathan Deeth :-) >Age 11 > Nathan, a number of people have asked you to leave out that age bit. Why not wait until you're 12 and post a message on your birthday?
Why are there no infinite sets? What is an infinite natural number?
Hint: Peano's axioms are deliberately designed to define one infinite set (the natural numbers) via the successor operation.
-- Jeremy Boden mailto://jeremy@jboden.demon.co.uk
