claim
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claim:order-provides-terminology-notation-and-models-across-diverse-areas-of-computer-science-including-comparisons-of-size-information-content-and-definednessOrder provides terminology, notation, and models across diverse areas of computer science including comparisons of size, information content, and definedness.
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extracted_from(2002) · Priestley, Hilary A.
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- Cross-scale frameworks linking spatial patterns, diagrams, and simplicity as expressions of care in design.
- Studies how information flow, increase, and explicitness emerge from computation relative to observers and subsystems, grounded in domain theory and order-theoretic formalism.
- Order theory in computer sciencemembers_ofPartial orders unify size, information, and definedness across CS domains via lattice-theoretic models.
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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.
- A most general system of mathematical structures arising from the nature of space, which has degrees of life.
- Foundational hypothesis of Domain Theory: partial order structure (D, ⊑) captures information ordering without quantification.
- Opening question that drives the chapter's enquiry.
- Motivating question throughout: using order theory to capture information flow, approximation, and program behavior.
- Diagrammatic encoding of program behavior via concept lattices reveals reachability structure and non-determinism without fixed calculational rules.
- Emphasizes the non-pictorial, process-dependent nature of living order.
- Low entropy, organized state; life maintains order by consuming negative entropy.
- Key interpretive position: topological properties of interaction graphs determine whether systems can self-organize, independent of substrate
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- alexander**Chapter 2** **Ordered Sets and Complete Lattices**papers/extracted/2022-04-01_Prabros._lattices-for-CS.pdf_8ecde3.md0.774