On Sun, May 27, 2012 Aleksandr Lokshin <aaloks...@gmail.com> wrote:
> All main mathematical notions ( such as infinity, variable, integer
> number) implicitly
> depend on the notion of free will.

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Because nobody can explain what the ASCII string "free will" means the
above statement is of no value.
> A new approach to the Alan Turing problem (how to distinguish a person
> from an android) is also proposed ; this approach is based on the idea that
> an android cannot generate the notion of an arbitrary object.
>
But "arbitrary" just means picking something for no reason or picking
something just because you like it but you like it for no reason; in other
words it means random. It's true that a pure Turing machine can not produce
randomness, however this limitation can be easily overcome by attaching a
very simple and cheap hardware random number generator to it. Then the
android could be as arbitrary as any arbitrary person, if you think being
arbitrary is a virtue that is.
John K Clark
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