On 06 Mar 2012, at 17:32, meekerdb wrote:

On 3/6/2012 4:26 AM, Bruno Marchal wrote:

It's a language game.

The word "game" is so fuzzy that this says nothing at all. Game theory is a branch of mathematics.

But "language" says something. It says mathematics is about description.

Mathematicians search what is language independent, and description independent. They don't like when a result depends on the choice of a base. Mathematics is more about structures and laws.

Math uses languages, but is not a language, even if it can be used as such in physics. But there is more to that.

Are you agnostic about the question if reality is physical, or mathematical, or theological or ?. To say that math is on description seem a bit physicalist.

Comp makes the tiny sigma_1 segment of arithmetic rather fundamental. We don't (nor can need) more "reality" than that, for this is from inside (epistemologically, ...) *very* big, and structured. It is far bigger from inside than from outside.

Bruno



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



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