Message in a Bottle

Sunday, June 06, 2004

Can there be nonsense in mathematics?

One might think that in the area of mathematics people donĀ“t make any absurd claims. But there seems to be a group of people, many of them employed in academia, that is attacking the simplest theorems of set theory. Not out of some philosophical view on what kind of proof methods are legitimate, but a belief that set theory is simply wrong. So they write papers "proving" that no infite set is countable or that the reals are countable. How do such people manage to avoid contact with logic?