A Formal Proof of the Structural Impossibility of Communism

This paper presents a formal, system-level proof that communism—defined as an economic system based on equality, the abolition of private ownership, and central planning—is structurally inconsistent. The proof begins by identifying a set of core axioms commonly attributed to communist theory. It then derives the necessary implications of these axioms, showing that when taken together, they produce a series of functional contradictions. These contradictions include the elimination of local informational feedback, the inability to differentiate need from function, and the emergence of a control hierarchy that violates the original egalitarian premise. It is concluded that such a system cannot sustain internal coherence or operational viability, even under ideal conditions.