Many people do not regard mathematics as a science since it does not directly probe our physical reality; some mathematicians even like to think about mathematics as being closer to art, music or literature. But is there really a big difference between exploring the physical reality and exploring the logical/mathematical reality?
It is perhaps too early to have an open discussion thread on this blog but let me try anyway. What do you think? Is mathematics a science?
Updates: (June 18; June 30 ) A related very successful discussion titled “What is Purity” is taking place over “Secret Blogging Seminar”. Ben Webster made the point: “And I think one of the key points here is this: mathematics is not science.” And there is a related post with Sylvester’s writing on this matter in Kowalski’s blog. Update (Dec 1 2015): A related post on Cameron’s blog.