On 6/7/2020 5:08 AM, Bruno Marchal wrote:
The UDA *proves* that the fundamental reality = arithmetic.

All proofs are relative to their premises.  You just assume arithmetic is real.

To assume arithmetic is real is ambiguous, if not non sensical.

A proposition cannot be ambiguous or nonsensical and also proven: "The UDA *proves* that the fundamental reality = arithmetic.”

But the “UDA proves that …” is not derived from “arithmetic is real”. It is derived from x + 0 = x, etc.

You seem to confuse the theory/machine (and what its says) with the arithmetical reality. Those do not belong to the same level of explanation. The arithmetical reality proves nothing: it is not a theory.

I'm not confused.  You made two statements that are implicitly contradictory:

(1) To assume arithmetic is real is ambiguous, if not non sensical.
(2) The UDA *proves* that the fundamental reality = arithmetic.

I just made the contradiction explicit by pointing out that any proposition that can be proven, cannot be ambiguous or nonsensical and hence can be unambiguously assumed.

Brent

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