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The Code-Theoretic Axiom: The Third Ontology

    https://doi.org/10.1142/S2424942419500026Cited by:5 (Source: Crossref)

    A logical physical ontology is code theory, wherein reality is neither deterministic nor random. In light of Conway and Kochen’s free will theorem [The free will theorem, Found. Phys.36(10) (2006) 1441–1473] and strong free will theorem [The strong free will theorem, Not. Am. Math. Soc.56(2) (2009) 226–232], we discuss the plausibility of a third axiomatic option — geometric language; the code-theoretic axiom. We suggest that freewill choices at the syntactically-free steps of a geometric language of spacetime form the code-theoretic substrate upon which particle and gravitational physics emerge.