AGI is Impossible. Here is the Proof. The Infinite Choice Barrier Theorem and a Critique of Algorithmic Reason

!! For the latest and further elaborated Version of that Work, please see the more recent Trilogy"The Infinite Choice Barrier" (I-III) This paper presents a formal critique of algorithmic cognition and develops what I call the Infinite Choice Barrier (ICB): a mathematically demonstrable boundary that no algorithmic system can cross. The argument is not empirical, it does not rest on engineering limitations or compute constraints. It rests on the symbolic closure of algorithmic systems. A finite symbol set Σ and inference rule set R cannot generate novel primitives outside Σ,R. Accordingly, AGI — defined as an autonomous, algorithmic system capable of human-level general problem solving — is formally impossible. The proof does not deny the power of algorithms, but clarifies their boundary. Within that boundary, extraordinary advances are possible. Beyond it, they are not.