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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Science of Not Knowing as a Constraint Algebra

Authors: Williams, Andy E;

The Science of Not Knowing as a Constraint Algebra

Abstract

Human-Centric Functional Modeling (HCFM) represents cognition as navigation through a conceptual space, where nodes correspond to concepts that impose boundary conditions on possible cognitive states, and edges encode reasoning operators as admissible transitions. This graph forms a network of constraints on cognitive evolution. Rather than attempting to specify the unknowable content of cognitive states, the framework focuses on the reliable functional behaviors that persist under these constraints. This approach constitutes a ``science of not knowing'': a rigorous study of epistemic boundaries formalized as a constraint algebra, where ignorance is modeled as the excluded volume of conceptual space, and reliable cognition emerges from the invariants preserved across that ignorance.

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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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