Something interesting I learned last night. It occurred to me that if real numbers (the set of rational numbers + the set of irrational numbers) enable hypercomputation, and hypercomputation is not possible, real numbers must not exist (physically). A quick google search led me to wikipedia, which confirmed the suspicion: http://en.wikipedia.org/wiki/Real_number#In_physics
In some recent developments of theoretical physics stemming from the holographic principle, the Universe is seen fundamentally as an information store, essentially zeroes and ones, organized in much less geometrical fashion and manifesting itself as space-time and particle fields only on a more superficial level. This approach removes the real number system from its foundational role in physics and even prohibits the existence of infinite precision real numbers in the physical universe by considerations based on the Bekenstein bound.
So, “real” numbers are not so real at all. That’s gotta be some kind of ironic misnomer - an irononomer, if you will.
Also, proof that we are all robots.