Real infinite

Real infinite is the amount of real numbers that there are. For every natural number there are a real infinite amount of real numbers. This is because between any two real number on the number line there are a real infinite number of real numbers. There is a natural infinite number of natural number or counting numbers. If we consider the case of an natural infinite amount of monkeys typing for an infinite amount of time there can be infinite sequences of letters that never produce a complete sentence. This is because the first monkey can type all a's. The second monkey can type all a's with the letter "b" in the second place. The third monkey can type all a's except for a "b" in the third place. This process can be carried out with every monkey. This process can produce a unique sequence of letters for each monkey that never produces a complete sentence in english. This infinite set produced by multiplying two infinite natural sets together is still a very small subset of the total amount of real number. Adding or multiplying any finite number of natural infinite numbers is still not as large as the set of real numbers.