On 26 Oct 2015, at 05:40, Bruce Kellett wrote:
I think Carroll's Paradox (or 'What the Tortoise Said to Achilles')
effectively undermines computationalism, or any argument that
arithmetic is prior to physics.
See: https://en.wikipedia.org/wiki/What_the_Tortoise_Said_to_Achilles
In order to escape the paradox, you have to resort to a formalist
approach, and that renders the formalism devoid of semantic content.
Only because we forget one half of computer science.
It is already a problem when engineers do that, but if the
philosophers do that, where are we going (grin)
Typically the machine itself when ideally correct avoid the mistakes,
and separate G from G*, proof and truth, and consistency. The machine
has the resource to understand the difference between syntax and
semantics.
Bruno
Bruce
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