As an outright supporter of 'consciousness expansion' through drug induced altered states, I can say that mathematics is about the worst thing you can try to gain insight into using irrationality as a tool.

I would not say that a mind in an altered state is as bad as a random-theorem-generator, but altered states almost never result in validity in my experience. The best state of mind to do math in is a sober and logical one.

Now, if we are talking about building mental fortitude, about overcoming personal barriers and winning at life, then I would say that introducing yourself to measures of irrationality is a good idea. You get a good idea of how the 'other side' lives and can develop strategies for compensating for your errors, not to mention building a tolerance for stress.