(July 3, 2019 at 1:14 pm)A Toy Windmill Wrote:(July 3, 2019 at 11:51 am)Jehanne Wrote: What mathematical constructions are infinite?
All uncomputable reals, which is most of them according to classical mathematics. We might argue that such things are not "constructions", in which case, swap "mathematical object" for "mathematical construction" in my previous posts.
My point is that Cantor, using a finite number of symbols, proved that some infinite sets (the Reals) are infinite and uncountable:
Wikipedia -- Cantor's diagonal argument
The rational numbers are, however, countable:
Wikipedia -- Countable set
And, so, what's the issue here? Is finitism any different than Creationism?