On 7/24/2019 2:50 AM, Bruno Marchal wrote:

On 23 Jul 2019, at 00:12, 'Brent Meeker' via Everything List <[email protected] <mailto:[email protected]>> wrote:



On 7/22/2019 7:28 AM, Bruno Marchal wrote:
The only one I know for a fact to exist.

Nobody can know that a world exist. You would know that you are consistent, making you inconsistent.

A confusion of "know" and "prove”.

?

On the contrary. What I said has been derived (like the whole machine theology) from the distinction between knowledge ([]p & p) and belief/prove/assume ([]p).

Hmm, I think you are confusing “world” (nobody can prove that such a thing exist, nor know that such a thing exist) and consciousness, that nobody van prove that such a thing exists, but that everybody can know that it exists).

No.  You are assuming that you can only have knowledge of p if you also have proof []p.   This is essentially rejecting empirical knowledge and instead assumes that there some axioms on which []p can be based.




A consequence of assuming knowledge requires proof...in direct contradiction to your definition of consciousness which is defined in terms of immediate knowledge.

Knowledge requires proof,

Nonsense.  That's what I mean by your "definition" of consciousness does not at all comport with actual experience of consciousness. What would your proof be based on?  Proofs are only relative to axioms and rules of inference.


because the Theatetus’ sort of knowledge is limited to rational knowledge

??  I suspect your idea of "rational knowledge" does not comport with anyone's idea of rational/since/ Theatetus.

, and is defined by ([]p & p). It is when a belief/assumption is true.

The immediate knowledge is in the “immediate mode” obtained from the nuance ([]p & <>t & p).

G* proves that all modes are equivalent, and that the machine cannot be aware of that equivalence, and that it obeys different logic.

There is one truth, the sigma_1 arithmetical truth, and very different modes of handling that truth, the true mode, the belief mode, the knowledge mode, the observable modes and the sensible modes.

Bruno





Brent

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