finding
active
finding:continuous-functions-in-domain-theory-reflect-that-computational-processes-have-access-only-to-finite-information-at-each-finite-stageContinuous functions in Domain Theory reflect that computational processes have access only to finite information at each finite stage.
Mathematical principle grounding the formal definition of continuity in domain theory to physical and epistemic constraints on computation.
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community
- 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.
- Continuous vs discrete computabilitymembers_ofContrasts decidability of real closed fields with Gödelian incompleteness of discrete arithmetic via domain theory.
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.
- Mathematical argument that continuous biological computation operates in a richer formal domain; suggests computational advantages for consciousness-relevant processing.
- Central thesis: traditional static information theories fail to capture dynamic interaction necessary for understanding modern computing.
- Load-bearing quote from SICP framing computation as spirit-like; grounds the cyberanimism framework
- Explaining the autogenerative nature of SCI loops.
- The paper's core methodological bet: use computational functionalism as a working assumption even while remaining agnostic about its truth
- Essential feature of living process, making phenomenological experience the central criterion for evaluation.
- Core tenet of diverse intelligence; justifies the methodological borrowing across fields.
Cross-corpus bridges (1)
same_concept_as · Nomic cosineExternal markdown files that talk about the same concept as this entity.
- alexander2021 10 18 Prabros. 1604.02603.pdf 6f9f31papers/extracted/2021-10-18_Prabros._1604.02603.pdf_6f9f31.md0.766