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Titlebook: Intangible Life; Functorial Connectio A.H. Louie Book 2017 Springer International Publishing AG 2017 Relational Biology.Category Theory.Mod

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楼主: Coolidge
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https://doi.org/10.1007/978-3-319-65409-6Relational Biology; Category Theory; Modeling Relation; Metabolism and Repair; Set-valued Mapping; Decodi
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Solus MappingsA mapping is a special kind of relation. (I have, of course, assumed all along that the reader knows what a mapping is, and is familiar with its associated concepts such as injection, image map, etc.
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Congeries Set-Valued MappingsPart I of . is a pentateuchal exploration of the algebraic theory of set-valued mappings. It also contains the motivations and other natural philosophical reasons on why I consider them congenial and congenital morphisms for relational biology.
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Coniunctio Functorial ConnectionsNonsense and beauty have close connections—closer connections than Art will allow..Nonsense and beauty have close connections — closer connections than Art will allow..— E. M. Forster (1907).Part 1, Chapter XII
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Modus Rational NatureCategory theory is a general theory of modelling, and a functor between categories plays the role of a relation between the system being modelled and the mathematical object that is the model.
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Metabolism and RepairHowever, it doesn’t seem fruitful to reach a decision concerning the applicability of scientific concepts on sociological grounds. In general, if an individual scientist finds such concepts uncongenial, let him not use them. There is no reason why he should take their existence as a personal affront.
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