The claim presupposes that NP-completeness is a property stable across all formal systems, but Gödelian incompleteness suggests completeness classifications may be system-relative.

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Formal system(as used in logic and mathematics): A set of rules and symbols (like mathematical axioms) that you use to prove whether statements are true or false, similar to how a chess game has specific rules that determine what moves are legal.
Gödelian incompleteness(as evidence that minds transcend formal systems): A mathematical discovery by Kurt Gödel showing that any formal system (like a set of mathematical rules) will always have true statements that cannot be proven using only those rules—meaning no system can be completely self-contained.
Kurt Gödel(the mathematician who disproved Hilbert): An Austrian-American logician (1906-1978) who proved shocking theorems showing that any complex formal system has true statements that cannot be proven using the system's own rules.
NP-completeness(as used in computational complexity theory): A classification in computer science for problems that are extremely difficult to solve quickly, even though verifying a correct answer is easy. Think of it like a jigsaw puzzle: hard to assemble, but easy to check if someone else did it right.

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