Mathematicians represent the different sizes of infinity with the Hebrew letter Aleph and the subscripts 1 and 0, where Aleph 1 represents the "larger" infinity of the real numbers and Aleph 0 represents the standard, "smaller" infinity of the integers. What is relevant here is that while Turing Machines are most certainly limited to the smaller infinity, the minds of human beings may not be, making us fundamentally different from computers.