Sunday, August 9, 2020

Difference between Biggest number and Infinity

Let’s say we are trying to determine what a person is thinking in real time by attaching wireless miniature  probes to various parts of their brain and having a computer interpret the electrical (or magnetic, electromagnetic, etc) signals thus generated.

Computer interpretation of those signals will be based on a previously compiled and stored database that mapped various signals from different sections of a subject’s brain to specific thoughts (per interrogations of that subject).

All else being equal, the higher the number of such signal-thought data pairs in a database, the more likely a subject’s real time signal interpretation by a computer will approach the subject’s actual thought at that time.

In that sense, a database with a billion (vs. a million) signal-thought data pairs will enable a computer to provide a more accurate interpretation of a person’s real time thoughts – but there will be some room for improvement. Along those lines, a database with ten trillion such data pairs will enable an even more accurate interpretation of a person’s real time thoughts – but once again, there will still be some room for improvement. By extension, there will still be some room for improvement even if a database were to contain “biggest number” of such data pairs.

Only when such signal-thought data pairs in a database are infinity will there be no room for improvement, and the computer’s interpretation will then match exactly with what a subject was actually thinking in real time. That’s the subtle difference between the concepts of Biggest number and Infinity.

Aside: In mathematical sense, Infinity – Biggest number = Smallest number (not Zero)