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Goedel's Threshold

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Posted by Paul R. Martin on May 26, 2003 18:35:23 UTC

Hi Yanniru,

You said, "Goedel's threshold seems rather low as it is somewhere between plane geomtry, a complete system, and arithmetic, an incomplete one.

My intuition says that such a level of complexity must be surpassed before a non-local consciousness can be achieved, or rather communicated and received."

This characterization of the threshold as a level of complexity is not quite accurate. The actual threshold is that between finite systems and infinite systems. The minimum system, therefore, to which Goedel's Theorem applies is the system of Arithmetic of natural numbers as commonly constituted. The key thing is that it is commonly accepted that there are an infinite number of natural numbers. If the system were finite, Goedel's theorem would not apply.

Warm regards,

Paul

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