Re:How many real numbers exist? New proof moves closer to an...
by lupire on Thursday July 15, 2021 @01:50PM
(#27847669)
Don't stop there! Let's have a countably infinite variety of sandwiches, with a countably infinite number of sandwiches of each variety.
Still enough natural numbers to eat them all, one per.
But still not enough sandwiches to feed all the (so-called) real numbers one sandwich each!
But if sandwiches grew on trees, and we had an infinite branching tree with two branches at each branching point, and every branch has a (pair of) sub-branches, then natural numbers could not eat all the sandwiches, and the sandwiches could feel all the (so-called) real numbers.
Still enough natural numbers to eat them all, one per.
But still not enough sandwiches to feed all the (so-called) real numbers one sandwich each!
But if sandwiches grew on trees, and we had an infinite branching tree with two branches at each branching point, and every branch has a (pair of) sub-branches, then natural numbers could not eat all the sandwiches, and the sandwiches could feel all the (so-called) real numbers.