Missing Mathematics§1.2Priority #6

Information Theory

Framework Established

The Gap

No information-theoretic analysis of UL expression efficiency, redundancy, or optimality.

Why It Matters

Cannot answer: How efficiently can concepts be expressed? What is the compression ratio vs natural language? Is the UL optimal in any information-theoretic sense?

Resolution

Define entropy measures over UL expressions. Prove or disprove optimality properties.

Expedition Status

Expedition:
Expedition One
Front:
Front C
Status:
FRAMEWORK — DC_UL descriptional complexity defined
Source:
frontier/expedition-one/numbers-and-computability.md
Impact
high
Tractability
medium
Effort
medium
Category
mathematics

Related Problems

Probability and Uncertainty
§1.4
Open

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