On 6/1/2016 5:03 AM, Bruno Marchal wrote:


In fact my definition of rational belief is very simple: a machine beliefs p if she asserts p. Then I limit myself to rational believers because it would be nonsense to interview a non rational machine to derive rationally, following the UDA prescription, the correct physics or the correct theology.

But what does "rational" mean? I think you mean "proves all valid theorems from some set of axioms", which is not what it means when applied to humans.

Brent


Note that correct beliefs does NOT mean knowledge (in the sense of the machine). The machine is not aware, and never will, that her beliefs are in general correct. Knowledge, contrarily is correct *by definition*, as it is formally defined, at the necessary meta-level, by correct-beliefs. This is a subtle but extremely important point made possible only thanks to incompleteness. (For those who have the book by Gerson on Antic Epistemology, that is the precise point where Gerson critics of the Theatetus" definition of knowledge get wrong: it is the difference between a belief which happen to be correct, and a belief restricted (non constructively) to correct proposition).

The goal is to derive physics and theology, not human psychology.

Bruno

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