Computer Science is the purest science

It's the only system that can use itself to prove itself

Um, even the best super-computers can experience a flipped byte once every couple hundred million (or I guess every few billion) computations...  Computation and mathematics are inseparable.  Actually, that's a lie.  Computation is an element of mathematics.  Simply put, there would be no computation without mathematical laws and axioms.  One cannot compute 1=1 without first acknowledging that 1 is a number.  Computation is only a subset; just as the knot theory used to bind our DNA is a subset of math, or how stochastic calculus is used in finance.  You can't separate the two.