No, in the text it is explained that the choice of an* arbitrary* element
is just what one should take for a free will choice. It is the
*definition*of the free will choice (in the domain of mathermatics).
* Arbitrary* does not mean *random !!! Otherwise all mathematcal proofs
*For a physicist when he is choosing an object for his experiment the
difference between an arbitrary element and a randomly choosen elemen is of
*On the contrary, for a mathematician the mentioned difference is of
principal importance. *
*Now I explain why the situations in physics (biology, psycology etc) on
the one hand, and in mathematics on the other hand are not equivalent.*
*In physics (byology , psycology, etc) one does not establish theorems .
All physical laws are obtained inductively (not deductively). Therefore in
case when a new experiment contradicts the previous ones nothing horrible
happens.The physical law is modified and that's all.*
*In mathematics we do not find approximate laws, but we deduce exact
theorems which must be valid not only for a randomly chosen object, but for
each object belonging to an infinite set cosisting of analogous objects.
It is impossible to prove mathematical theorems by using randomly chosen
*All what I have written above is absolutely clear for each mathematician,
but, unfortunately, is hard to understand for certain philosophers. *
On Tue, May 29, 2012 at 9:52 PM, John Clark <johnkcl...@gmail.com> wrote:
> 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.
> 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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