One-to-one correspondence between the Irrationals and the Rationals: A direct contradiction in infinite set theory (Paperback)
This book establishes one-to-one correspondence between the set of irrational numbers and the set of rational numbers. The Cantor Diagonalization Argument says the irrational numbers are uncountable. Both cannot be true and it is a fundamental inconsistency.This direct contradiction finally proves that infinite set theory is all wrong.Cantor's infinite set theory is largely based on arbitrary rules, confounding axioms, and logic that defies intuition and common sense. Our previous books explain exactly what is wrong in this theory and why.