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Homotopic structure of path spaces

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Freedom of Will: A Theorem, not a Discussion

· 16 min read
Max Sereda
Унитарный Голономный Монизм

Twenty-five centuries of philosophers have debated free will. The result: two camps, both wrong.

Determinists say: everything is predetermined, freedom is an illusion. Libertarians (not those ones) say: freedom is real, but it cannot be explained. Compatibilists try to sit on two chairs and say: freedom is compatible with determinism, if one defines the terms correctly. Laplace is satisfied. Sartre is offended. Hume shrugs.

The problem is not in the answers — the problem is in the question. "Is the will free?" is a question that cannot be answered "yes" or "no" without saying something foolish. Because the answer is a number. Freedom is not a yes/no property. It is a measurable quantity taking values from 1 to 7, and here is the formula:

Freedom(Γ)=dimker(HΓ)+1\text{Freedom}(\Gamma) = \dim\ker(\mathcal{H}_\Gamma) + 1

Below — what this means, where it comes from, and why Spinoza was closest.