On Thu, May 24, 2012 at 03:42:15PM +0200, Bruno Marchal wrote:
> 
> But "a => Ba" is a valid rule for all logic having a Kripke
> semantics. Why? Because it means that a is supposed to be valid (for
> example you have already prove it), so a, like any theorem,  will be
> true in all worlds, so a will be in particular true in all worlds
> accessible from anywhere in the model, so Ba will be true in all
> worlds of the model, so Ba is also a theorem.

I still don't follow. If I have proved a is true in some world, why
should I infer that it is true in all worlds? What am I missing?


-- 

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Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      hpco...@hpcoders.com.au
University of New South Wales          http://www.hpcoders.com.au
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