"One day ladies will take their computers for walks in the park and tell each other, "My little computer said such a funny thing this morning"." ~ Al… - Alan Turing

It is possible to invent a single machine which can be used to compute any computable sequence. If this machine <math>\mathcal{U}</math> is supplied with a tape on the beginning of which is written the S.D of some computing machine <math>\mathcal{M}</math>, then <math>\mathcal{U}</math> will compute the same sequence as <math>\mathcal{M}</math>.

Sometimes it is the people who no one imagines anything of who do the things that no one can imagine.

The "scanned symbol" is the only one of which the machine is... "directly aware". However, by altering its m-configuration the machine can effectively remember some of the symbols which it has "seen" (scanned) previously.