Since numbers are infinite and the ways we can manipulate them are infinite (or at least large) doesn't it mean that unlikely or strange things happen all the time?
I would be more surprised if they wouldn't happen.
I would be more surprised if they wouldn't happen.
I agree, but whatever that pattern (or patterns) turned out to be is still an interesting question.
They do. If you haven't seen it already I can recommend a movie about this topic. It can be enojyed for other reasons as well.
Pi: "A paranoid mathematician searches for a key number that will unlock the universal patterns found in nature." http://www.imdb.com/title/tt0138704/
In other words, maybe the right want to understand this is via intuitionistic logic where not (not A) is not convertible to A. So, it's certainly not the case that there are no interesting patterns... but you must show me one before I believe that they actually do exist.