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A Gödel Connection:

Gödel's Sophisms -

Gödel used his Incompleteness theorems to prove that SOM's goal of absolute truth is unachievable. He assumed SOM's absolute truth is simultaneity of both consistency and completeness in a system. I.e. any absolute system (capable of expressing absolute truth) can both:

  1. always state the truth, and
  2. state all truths.

Gödel's Incompleteness theorems show this is impossible. See our Decidable Gödel Meme (part of a ~180kb file; takes a few sec's to load at 56k) for a review of his Incompleteness theorems as they apply here.

It is inspiring to know Gödel's Incompleteness theorems are sophisms! Indeed, as you examine other areas of our Quantonics site, and if you approach a quantum epiphany as we have, you will begin to view natural reality as a great sophism of sophisms! So what do we mean? Here, we think of sophisms as manifestations of both/and uncertainty interrelationships among patterns of actuality. In particular, we think Gödel's Incompleteness theorems are sophist depictions of both/and uncertainty interrelationships twixt consistency and completeness in any system.

More later...your reviewer will continue to expand this document during 1999.

Thanks for reading,

Doug.

 

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©Quantonics, Inc., 1998-2006 Rev. 30Aug2000  PDR — Created: 3Nov98  PDR
(30Aug2000 rev - Add link to 'Absoluteness as Quantum Uncertainty Interrelationships.')