Difference between revisions of "Gödel's completeness theorem"
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Any [[formula]] in first-order predicate [[calculus]] is true only if it [[sound]]s true. | Any [[formula]] in first-order predicate [[calculus]] is true only if it [[sound]]s true. | ||
</blockquote> | </blockquote> | ||
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| + | ==Theological Implications== | ||
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| + | The nature of The Completeness Theorem has far-reaching implications in the field of Theistic Creation. For instance, it is clear that God made the world, as only He could make first order logic complete. The soundness of the statement "God exists and is all things to all men" is proven within first-order predicates, meaning that The Completeness Theorem provides a mathematical proof for the existence and omnipotence of God. Kurt Gödel himself once claimed, "Even my surname is simply 'God,' with an added 'el' and an umlaut."<ref>http://www.godelandtheology.org/quotes/quote54.htm</ref> | ||
[[Category:Logic]][[category: mathematics]] | [[Category:Logic]][[category: mathematics]] | ||
Revision as of 15:52, December 9, 2009
Gödel's completeness theorem was proven by Kurt Gödel, which states:
Any formula in first-order predicate calculus is true only if it sounds true.
Theological Implications
The nature of The Completeness Theorem has far-reaching implications in the field of Theistic Creation. For instance, it is clear that God made the world, as only He could make first order logic complete. The soundness of the statement "God exists and is all things to all men" is proven within first-order predicates, meaning that The Completeness Theorem provides a mathematical proof for the existence and omnipotence of God. Kurt Gödel himself once claimed, "Even my surname is simply 'God,' with an added 'el' and an umlaut."[1]