> This makes no sense. Two people prove the same theorem independently, > and send it in for publication. One gets rejected because he holds the > wrong philosophical beliefs about mathematics, and hence his proof is > invalid. The other, who used the same proof, has his paper accepted > because his philosophy of mathematics is correct. What is wrong with > this picture?
That's certainly an interesting question. That isn't exactly what happened in the case of Cantor, but it does appear that the opposition to Cantor's work was largely based on philosophical perspective. The hits you get on the following should demonstrate how such issues can impact what gets published.