in article <firstname.lastname@example.org>, lee rudolph <email@example.com> wrote:
|"Gene Ward Smith" <firstname.lastname@example.org> writes: | |>However, suggesting the continuum hypothesis is like angels dancing |>on a pin seems to me to be backwards--it is the objectors who seem |>to have some kind of philosophical qualm which almost seems to |>amount to a religious one. I'm reminded of Kronecker's remarks |>about what God did and did not create in terms of mathematicals. | |Ah, but K. begs the question quite severely. Was it the *completed |infinity* of the (positive) integers that God created, or was God |content to create the Peano axioms?
not to try to ruin any particular joke, but it seems obvious that kronecker would have considered _both_ of these to be the works of man, at best. the only things he counted as the works of god were 1, and 2, and 3, and the like. (i forgot to ask him whether 0 and negative integers qualify as "the like".)