On 29 Jun 2012, at 20:01, Evgenii Rudnyi wrote:
On 11.04.2012 11:11 Bruno Marchal said the following:
On 10 Apr 2012, at 21:21, Evgenii Rudnyi wrote:
...
Hence if you know something in Internet or in the written form, I
would appreciate your advice. The best about 20 pages, not too
little, and not to much.
OK I found the paper by Turing:
http://www.thocp.net/biographies/papers/turing_oncomputablenumbers_1936.pdf
Of course, the language is old, and we prefer to talk today in term
of functions instead of real numbers.
You can try to read it. I will search other information, but there
are many, and of different type, and most still blinded by the
aristotelian preconception. So it is hard to find a paper which would
satisfy me. But you can get the intuition with Turing's paper I
think.
Bruno,
I have finally come to mechanism. Thank you for your suggestion. I
have browsed Turing's paper.
Do I understand correctly, that mechanism is something that could be
implemented by some Turing's machine?
You can say that. But you could take "fortran program" instead of
Turing machine. The choice of the initial formal system is not
important.
Do you some paper about it that does not have equations but that
discusses this term philosophically?
Hmm... Not really. The start is simple, but without doing a minimum of
technical work, you can't get the correct intuition, for the field is
quickly counter-intuitive. I am currently explaining the whole
computability stuff on the FOAR list, where I have a very good
"candid" correspondent. You might try take the wagon.
If not I would suggest you to study a good book, like Cutland's book,
or even the first hundred pages of the Rogers' book. Many popular
account on computability are just invalid, or not precise enough to do
serious philosophy, I'm afraid.
Bruno
http://iridia.ulb.ac.be/~marchal/
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