From: albert j. pinto <alpinto@bellatlantic.net>

Date: Sat, 28 Oct 2000 02:13:10 -0400

Message-Id: <200010280614.CAA23374@smtp-out1.bellatlantic.net>

To: www-talk@w3.org

Date: Sat, 28 Oct 2000 02:13:10 -0400

Message-Id: <200010280614.CAA23374@smtp-out1.bellatlantic.net>

To: www-talk@w3.org

On Albertus Magnus and Goedl's Theorem: Please share with Colleagues... Goedl's Theorem is a modern truth contingently-linked to the necessary mediaeval principle of non-contradiction regarding matters on truth and metaphysical reality. The mediaeval principle, drawn from Aristotle's Logic, states the a thing or truth cannot both be and not be at the same time under the same aspect. Now, with reference to Goedl's Theorem: "This formula is unprovable in the system" - There can be no contradiction at the same time under the same aspect - Hence, the "same time" here is that very moment when you should like to make the per se "unprovable"..."provable"! And the "same aspect" is the formula itself (i.e. "This formula is...in the system")! Why is the formula the "same aspect"? Because the formula is the very subject of provability or unprovability. Hence, "non-contradiction" must occur at the very moment of trying to resolve this "same aspect". And if at that moment you try to posit "provability" and "unprovability" to the very same aspect - "The Formula...in the system" - you are bound here not to be contradictory: precisely because a contradiction cannot be posited! Thus, the principle of "non-contradiction" as a truth about reality and logical truth absolutely guarantees the truth of Goedl's Theorem with reference to formal systems of arithmetic and formal logic: and leads by natural truth to man's superiority over formal systems and machines - even as it leads the more reflective thinker to metaphysical certitudes and to God's "Sufficient Reason" for Himself! For only God is the Absolute Proof of His Own Sufficient Reason, His Own Subsistent Essence...Why? Because God Alone is Absolute Perfection in His-Very-Own-Absolute-Simplex-Essenced-Existence! And this is Perfectly Consistent with the Absolute Definition of "God" as "Perfect Self-Concept" subsisting in "Simplex Existence-Essence"! Saint Anselm's argument may be fully seen here: and that's the "Internal Truth"! Goedl is right because Albert the Great was so right about all these things in Logic, Physics, Rational Pschology, Metaphysics and Divine Revelation to boot... And we have consistently ignored this Universal Wisdom for over 700 years. Now that is an awfully inconsistent thing to do for those who would call them- selves "Futuristic-Formal Thinkers" for our "Global Village"! Try Albert the Great - "Doctor Universalis": "His Proofs" are in "The Touring..."! Al Pinto - Opus Doctorum Foundation ATG News - http://www.AlbertTheGreat.ComReceived on Saturday, 28 October 2000 02:14:25 UTC

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