Shannon's information theory and foundations of mathematics

[martdowd at aol.com]

 FOM:
Vaughan Pratt wrote:
> This observation that Shannon entropy arises naturally without human intervention (other than the experiment itself making the observation) > makes it quite plausible that humans themselves would intuitively associate less probable events with more information. 
 In this connection the mathematical derivation of the definition of propabilistic entropy on p. 159 of https://math.berkeley.edu/~evans/entropy.and.PDE.pdfmight be of interest.
Martin Dowd
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