> On 24 Dec 2018, at 16:29, Mason Green <[email protected]> wrote:
> 
> David Deutsch suggested something like this I (that individual universes are 
> discrete, but the multiverse as a whole is continuous).
> 
> “within each universe all observable quantities are discrete, but the 
> multiverse as a whole is a continuum. When the equations of quantum theory 
> describe a continuous but not-directly-observable transition between two 
> values of a discrete quantity, what they are telling us is that the 
> transition does not take place entirely within one universe. So perhaps the 
> price of continuous motion is not an infinity of consecutive actions, but an 
> infinity of concurrent actions taking place across the multiverse.” January, 
> 2001 The Discrete and the Continuous

This is consistent with Digital Mechanism, and plausibly mandatory too. The 
computations evolves discretly, vertically in the universal computational 
deployment (the tiny sigma_1 arithmetic), but the first person indeterminacy is 
horizontal and takes into account infinitely many computations. But the precise 
topology and cardinality remains open problems.

Bruno



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