An integer in Archimedes Plutonium's philosophical view includes objects which have a decimal expansion which never ends, for example, the following number is an integer: x = 111...333 which starts with an infinite repeating list of 1s, and ends with an infinite repeating list of 3s. The 1's are the frontview of the number, while the 3's are the backview. To multiply these numbers, multiply finite approximations until the repeating pattern front and back becomes clear. For example, 111...333 x 888...444 = 098765432098765432...1851851852 and the leading 0 is important to Plutonium. Plutonium believes that Fermat's last theorem is false, because he believes it fails for these infinite integers. He also believes that the set of all real numbers is countable, since both the Reals and Infinite Integers are "All Possible Digit Arrangements". By this statement he usually means that there is a direct one-to-one map from the real numbers to the integers, which consists of taking all the digits behind the decimal point and putting them in front. To allow this, his real numbers have a frontview and a backview too.