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Fermat's Last Theorem (view source)

Revision as of 21:24, July 12, 2019

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restore section relating to Fermat's religious faith, as "Transcendental Proof of a Finite Intellect?"
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===The 1993 Proposed Proof Today===
 
===The 1993 Proposed Proof Today===
 
Unlike other mathematical breakthroughs, this claimed proof of 1993 has facilitated little, if any, insights or simplifications since then.  Asking in recent years about the reliance by this proof on the disfavored [[Axiom of Choice]] has even resulted in [[censorship]] by some.<ref>https://meta.mathoverflow.net/questions/1336/why-was-this-question-about-axiom-of-choice-and-the-wiless-proof-of-flt-deleted</ref>
 
Unlike other mathematical breakthroughs, this claimed proof of 1993 has facilitated little, if any, insights or simplifications since then.  Asking in recent years about the reliance by this proof on the disfavored [[Axiom of Choice]] has even resulted in [[censorship]] by some.<ref>https://meta.mathoverflow.net/questions/1336/why-was-this-question-about-axiom-of-choice-and-the-wiless-proof-of-flt-deleted</ref>
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==Transcendental Proof of a Finite Intellect?==
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A devout Catholic, Fermat held a judicial office within the [[Roman Catholic Church|Church]], and served as ''parlementaire'' in Toulouse. He was certainly acquainted with the writings of [[St. Thomas Aquinas]] and the evidence of his penetrating intellect. It is entirely possible that the perceived ''impossibility'' of a proof of the theorem Fermat proposed was ''in itself'' a clear demonstration of the realization of the possibility that what is famously called "Fermat's Last Theorem" was ''in itself'' a transcendental proof of the limitations of human intellect and of the limitations of mathematical and scientific methods in the presence of the wisdom and intelligence of the one transcendent [[God]] comprehending of all things subsumed under the Omniscient and Omnipotent Divine Rule. It is indirectly a "remarkable proof" that man is not infinitely capable ultimately of finally understanding all things, and is not God. Like the [[Christian mysteries]], Fermat's Last Theorem is above the intellect, but not opposed to it.<ref>See the following:
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*[http://www.newadvent.org/cathen/10662a.htm Mystery - Catholic Encyclopedia (newadvent.org)] "In conformity with the usage of the inspired writers of the New Testament theologians give the name ''mystery'' to revealed truths that surpass the powers of natural reason.... In its strict sense a mystery is a supernatural truth, one that of its nature lies above the finite intellect."
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*[http://catholictheology.info/summa-theologica/summa-part1.php?q=536 A Tour of the Summa - 86. What the Intellect Knows in Material Things (catholictheology.info)] "The human intellect is a created and finite power. Therefore it cannot perfectly know the infinite."
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*[http://platonic-philosophy.org/files/Perl%20-%20The%20Good%20of%20the%20Intellect.pdf The Good of the Intellect, Eric D. Perl (platonic-philosophy.org)] pdf. "For Plotinus...the encounter with the Good demands a reaching beyond intellect, but is in no way opposed to or merely alongside intellect as an alternative to it."</ref> Pierre de Fermat's marginal notation may be an informal expression of his personal insight to the Theorem as being of itself "a truly marvelous demonstration of this proposition [of impossibility ''per se'']" directly relating to the wonder of this transcendent truth.
    
== See also ==
 
== See also ==
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