Irrational Number Debunked

This attacks the theorems of Euclid & Hippasus supposedly proving irrational number. We attack the false assertion that infinite number is valid in mathematics, that arithmetic operations such as addition, subtraction, division, multiplication are possible and reasonable. We show that the Set of All Integers does not exist but merely an indefinite series, that there is no continuum of numbers, that so called transcendental numbers are illusion, not constants but variables, that a continuum of curvature of arc does not exist. We show that circles must be composed of polygonal sides (infinite sides excluded.) We note that only integer root number bases (4, 16, etc.) can square a mantissa value, excluding Base Ten numbers from resolving any square root solution involving a mantissa.