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 couldn't exist.* *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 no importance.* *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 objects.* *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 > > > > > > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To post to this group, send email to everything-list@googlegroups.com. > To unsubscribe from this group, send email to > everything-list+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/everything-list?hl=en. > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.
