On 23 May 2012, at 19:19, Evgenii Rudnyi wrote:

On 23.05.2012 10:47 Bruno Marchal said the following:

On 23 May 2012, at 01:22, Stephen P. King wrote:

...

If mathematical "objects" are not within the category of Mental
then that is news to philosophers...

If mathematical "objects" are within the category of Mental then that
is news to mathematicians...


Let us take terms like information, computation, etc. Are they mental or mathematical?

Information is vague, and can be both.

Computation is mathematical, by using the Church (Turing Kleene Post Markov) thesis.

But humans, and any universal machine, can mentally handle and reason on mathematical notions, implementing or representing them locally.

With comp, trivially, the mental is the doing of a universal numbers.



It might be good simultaneously to extend this question by including general terms that people use to describe the word. Are mathematical objects then are different from them?

I am not sure I understand what you are asking.

Bruno


http://iridia.ulb.ac.be/~marchal/



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