More fun with math: ( reductio ad absurdum ) - we try to prove something that is ridiculous, but then end up proving it is absurd, and so therefore it must be false.
Example: assume that the square root of 2 is some fraction of two integers: maybe some two numbers like a/b...
[proof follows, edited for clarity, but please see the wonderful book "The Golden Ratio" by Mario Livio, pages 38-39.]
to paraphrase Livio: by process of logic, one can show that the common denominator of "b" is AT THE SAME TIME both an EVEN and an ODD number. This means therefore, NO square root of ANY number which is not a perfect square ( 9 and 4 are perfect, but NOT 2 or 3, etc.) can possibly be expressed as a whole number or even by a fraction of two whole numbers. They are therefore IRRATIONAL numbers. They produce decimal fractions without end, like Pi or Theta.
Legend has it that when the ancient greek numerologists discovered these irrational numbers, they tried to keep them secret from outsiders (did not fit their god concept!), and if any student revealed them to the "unwashed", then such a person would be PUT TO DEATH.
Sound a little like the Governing Body circa 1979 and the "chronology"?