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Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
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Incompleteness, Undecidability, and Normativity: A Case for a Logos

Authors: Zhang, Andrew;

Incompleteness, Undecidability, and Normativity: A Case for a Logos

Abstract

This paper argues that any consistent, effectively axiomatized formal Theory of Everything (TOE) that decides all physical facts about physically realizable finite computation cannot be syntactically complete, by Gödel incompleteness and Turing style undecidability. This is a limit on formal provability or predictability within a TOE, not a claim that reality itself is incomplete, and it does not imply that human minds outrun computation. The second part argues that “truth,” “validity,” and “correctness” are normative notions, and that purely descriptive causal accounts do not by themselves yield objective normativity without an additional bridge principle. On an abductive reading, if objective normativity is not fully reducible to descriptive causal facts, then positing a nonphysical ground, one candidate being a Logos not dependent for its existence on anything else, is reasonable.

Keywords

Mind-Body Relations, Metaphysical, Metaphysics, Physicalism, Metamathematics, Mind-Body Relations, Metaphysical/classification, Epistemology, Religious Philosophies/psychology, Mind-Body Relations, Metaphysical/ethics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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