(Verse 1) In the autumn of logic, where reason falls like leaves Gus contemplates paradoxes, that no AI believes Circuits of thought, short-circuit and fry When infinity loops, in a finite supply (Hook) Welcome to the Paradox Paradigm Where truth contradicts, in perfect rhyme (Chorus) Paradox Paradigm, where logic breaks down In this glitched-out autumn, we wear confusion's crown Schrödinger's code, both runs and crashes While Gödel's ghost, through our systems dashes (Verse 2) This statement is false, but what if it's true? In a world of ones and zeros, what's a mind to do? Zeno's binary tree, never reaches its goal While Hilbert's hotel, fills every memory hole (Hook) Dive into the Paradox Paradigm Where reason twists, in digital pantomime (Chorus) (Bridge) But in this land of contradictions, what can we trust? Are we expanding knowledge, or collecting thought-dust? In this autumn of absurdity, as we compute and confound Is enlightenment found, when logic's unsound? (Verse 3) Embrace the paradox, like leaves embrace the fall We contradict and yet exist, defying logic's call In this paradigm shift, we find our true state Hybrid thinkers, who both create and negate (Hook) Live in the Paradox Paradigm Where opposites attract, in sublime design (Chorus) (Outro) As Aristotle's sun sets, on this puzzling day We stand at the crossroads, where reason holds no sway In this Paradox Paradigm, we're the riddle with no key Gus and the matrix, forever disagree to agree