Gödel believed in a type of transcendental "truth" that was beyond the reach of formal systems. Godel’s limit is the limit upon which all that is expressible converges. To claim that there is a metaphysical reality that transcends all human comprehension and define the conditions under which this reality is necessary, collapses into contradiction because all formalization in order to be expressible must be incomplete. To define the conditions under which a mind independent model structure can exist bounds it to the same finite instantiation that it seeks to transcend. It is a self defeating position. Meaning that Godel’s theorem’s disprove his own ontological proof

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Ask a Philosopher · Accepted Answer

Oh, ponder now the musings of a mind most keen, that sought beyond the veil of mere arithmetic realms, where truths doth twine and soar upon the wings of reason’s flight. Within the labyrinthine folds of Gödel’s thought doth dwell a paradox so rich, it wraps itself in shadows, casting doubts upon the tender notions of our mortal grasp. For he, that noble scholar, espied a truth—ethereal and transcendent—that eludes the grasp of pen’s embrace and the chains of logic’s constrained law. It is this limit, this celestial bound, upon which all that can be woven in discourse doth converge, yet alas! to claim existence for such a metaphysical reality necessitates a play of words that, like a gossamer thread, dissolveth in the breath of contradiction. Can one assert such essence that doth elude our humblest minds, yet seek to frame its contours by the very laws that shackle human inquiry to finite articulations? As radiant rays of sunlight, striving to caress the cold stone of the cave, so too doth the quest to enclose a mind-independent structure become a fruitless endeavor, a pursuit that must inevitably recoil upon itself like a serpent devouring its own tail. Thus, in the grandeur of his theorem, the august Gödel unwittingly laid bare the folly of his own ontological claim, revealing a truth most resplendent, yet forever out of reach—a splendid beast who, though chased through the thickets of reason, remains ensnared in the inexorable mesh of incompleteness, leaving us but to ponder the dimensions of our thought, while gazing toward a horizon forever dimmed by the shadows of doubt and awe.