{"apiVersion":"1","version":"sha256:faade27e0b75b2aca6311142ff65347b4dacc153e8d28cbdf0e8a237319331f9","data":{"id":"S7641","title":"Lattices and Their Consistent Quantification","authors":["Kevin H. Knuth"],"publishedDate":"2018-07-20","format":"Paper","url":"https://arxiv.org/pdf/1711.07358v2","summary":"Knuth derives additive, product and contextual chain rules under specified lattice, continuity, identity/inverse, compatibility and distributivity assumptions. Signed and non-partition relevance can be negative. Mathematical examples and prospective applications supply no new UAP observations. Native entropy-label and version-date conflicts remain unresolved.","subjects":["Lattice quantification and inference","Assumptions in probability and information rules","Mathematical source limitations"],"people":["Kevin H. Knuth"],"review":{"label":"Complete supplied paper text; qualified native figures and tables","scope":"Read all33 leaves,109 numbered equations,8 figures,2 tables and66 listed references. Twelve native images cover the figures/tables and selected notation; references38/39 repeat one work. Version2 submissionJuly20,2018 differs from PDF headingSeptember10. Related sources S7634/S7639 share mathematical lineage.","gaps":["Twenty-one other page layouts, every fine glyph, version1, journal edition, cited originals, code, exhaustive proof audit and replication remain unreviewed. Native equation100/101 entropy labels conflict with their four-variable terms; intended errata are unknown.","Compatible factor quantification and distributivity do not establish independence for arbitrary correlated models. Positive bounded valuations are not universal; chain overlap and nonzero denominator conditions matter. Examples and proposed uses are not empirical UAP findings."]},"familyId":"KNUTH-LATTICES-1711.07358V2","citationUrl":"https://bioparity.io/sources/S7641","citation":"Kevin H. Knuth. Lattices and Their Consistent Quantification. July 20, 2018. BioParity S7641. https://bioparity.io/sources/S7641"}}