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finding:delta-n-with-bayesian-order-is-a-domain-and-shannon-entropy-is-a-measurementDelta^n with Bayesian order is a domain and Shannon entropy is a measurement
The set of classical probability distributions, ordered by Bayesian projections, forms a dcpo with least element the uniform distribution and max elements pure states; Shannon entropy is a measurement of type Delta^n -> [0,∞).
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- By playing both sides against an opponent and copying moves, one guarantees a win, mirroring the disjunction's logical structure in an interactive process.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Omega^n of quantum states with spectral order is a domain and von Neumann entropy is a measurementfinding0.836Quantum density operators, ordered by common observable's classical Bayesian order, form a dcpo with max elements pure states; von Neumann entropy is a measurement.
- Core intuition of Domain Theory: qualitative ordering of information states provides foundation for modeling computation without quantification.
- Conjecture about what distinguishes living from non-living systems.
- Assigning real numbers to domain elements to measure degree of uncertainty, linking quantitative and qualitative views.
- Core result demonstrating topological constraints on self-organization
- Generalises the self-evidence impossibility to all boundaries; grounds the teaching that all dharmas are empty
- The core impossibility result imported from quantum information theory; basis of the entire argument
- Foundational hypothesis of Domain Theory: partial order structure (D, ⊑) captures information ordering without quantification.