trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Equal Entropy, Different Target Value

Equal information quantity can carry opposite target value.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

Equal entropy and compression do not imply equal target sufficiency

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Translation Loss under PostprocessingTranslation Loss underPostprocessingConcept Entropy under RefinementConcept Entropy underRefinementEqual Entropy, Different Target ValueEqual Entropy, Different TargetValueEqual Action Entropy, Different Causal ActionEqual Action Entropy, DifferentCausal Action
Proof dependencyStructural affinityDocument link

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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
8
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Information/EqualEntropyTargetValueContrast
Repository path
D5/S3/ConceptDynamics/Information/EqualEntropyTargetValueContrast.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.