On 9/5/2012 8:37 AM, Bruno Marchal wrote:
Put in another way: there is no ontological hardware. The hardware and wetware are emergent on the digital basic ontology (which can be described by numbers or combinators as they describe the same computations and the same object: you can prove the existence of combinators in arithmetic,

I don't think I understand that remark. Doesn't arithmetic *assume* combinators, i.e. + and * ?

Brent

and you can prove the existence of numbers from the combinator S and K. So the basic ontology is really the same and we can "know" it (betting on comp). It is really like the choice of a base in a linear space.

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