Louie More Than Life Itself

A Synthetic Continuation in Relational Biology
1. Auflage 2013
ISBN: 978-3-11-032194-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1, 388 Seiten

Reihe: CategoriesISSN

A. H. Louie's More Than Life Itself is an exploratory journey in relational biology, a study of life in terms of the organization of entailment relations in living systems. This book represents a synergy of the mathematical theories of categories, lattices, and modelling, and the result is a synthetic biology that provides a characterization of life. Biology extends physics. Life is not a specialization of mechanism, but an expansive generalization of it. Organisms and machines share some common features, but organisms are not machines. Life is defined by a relational closure that places it beyond the reach of physicochemical and mechanistic dogma, outside the reductionistic universe, and into the realm of impredicativity. Function dictates structure. Complexity brings forth living beings.

Autoren/Hrsg.

Louie, A. H.

Fachgebiete

• Naturwissenschaften Biowissenschaften Biowissenschaften
• Geisteswissenschaften Philosophie Naturphilosophie, Philosophie und Evolution

Inhaltsverzeichnis

1;Contents;7
2;Praefatio;11
3;Nota bene;21
4;Prolegomenon -

Concepts from Logic;23
4.1;In principio...;23
4.2;Subset;24
4.3;Conditional Statements and Variations;25
4.4;Mathematical Truth;28
4.5;Necessity and Sufficiency;33
4.6;Complements;36
4.7;Neither More Nor Less;39
5;PART I -

Exordium;43
5.1;1 - Praeludium: Ordered Sets;45
5.1.1;Mappings;45
5.1.2;Equivalence Relations;50
5.1.3;Partially Ordered Sets;53
5.1.4;Totally Ordered Sets;59
5.2;2 - Principium: The Lattice of Equivalence Relations;61
5.2.1;Lattices;61
5.2.2;The Lattice QX;68
5.2.3;Mappings and Equivalence Relations;72
5.2.4;Linkage;76
5.2.5;Representation Theorems;81
5.3;3 - Continuatio: Further Lattice Theory;83
5.3.1;Modularity;83
5.3.2;Distributivity;85
5.3.3;Complementarity;86
5.3.4;Equivalence Relations and Products;90
5.3.5;Covers and Diagrams;92
5.3.6;Semimodularity;96
5.3.7;Chain Conditions;97
6;PART II - Systems, Models, and Entailment;103
6.1;4 -

The Modelling Relation;105
6.1.1;Dualism;105
6.1.2;Natural Law;110
6.1.3;Model versus Simulation;113
6.1.4;The Prototypical Modelling Relation;117
6.1.5;The General Modelling Relation;122
6.2;5 - Causation;127
6.2.1;Aristotelian Science;127
6.2.2;Aristotle’s Four Causes;131
6.2.3;Connections in Diagrams;136
6.2.4;In beata spe;149
6.3;6 -

Topology;153
6.3.1;Network Topology;153
6.3.2;Traversability of Relational Diagrams;160
6.3.3;The Topology of Functional Entailment Paths;164
6.3.4;Algebraic Topology;172
6.3.5;Closure to Efficient Causation;178
7;PART III -

Simplex and Complex;183
7.1;7 -

The Category of Formal Systems;185
7.1.1;Categorical System Theory;185
7.1.2;Constructions in S;189
7.1.3;Hierarchy of S-Morphisms andImage Factorization;195
7.1.4;The Lattice of Component Models;198
7.1.5;The Category of Models;205
7.1.6;The . and the O;209
7.1.7;Analytic Models and Synthetic Models;211
7.1.8;The Amphibology ofAnalysis and Synthesis;216
7.2;8 -

Simple Systems;223
7.2.1;Simulability;223
7.2.2;Impredicativity;228
7.2.3;Limitations of Entailment and Simulability;231
7.2.4;The Largest Model;234
7.2.5;Minimal Models;236
7.2.6;Sum of the Parts;237
7.2.7;The Art of Encoding;239
7.2.8;The Limitations of Entailment in Simple Systems;243
7.3;9 - Complex Systems;251
7.3.1;Dichotomy;251
7.3.2;Relational Biology;255
8;PART IV -

Hypotheses fingo;259
8.1;10

Anticipation;261
8.1.1;Anticipatory Systems;261
8.1.2;Causality;267
8.1.3;Teleology;270
8.1.4;Synthesis;272
8.1.5;Lessons from Biology;277
8.1.6;An Anticipatory System is Complex;278
8.2;11

Living Systems;281
8.2.1;A Living System is Complex;281
8.2.2;(M,R)-Systems;284
8.2.3;Interlude: Reflexivity;294
8.2.4;Traversability of an (M,R)-System;300
8.2.5;What is Life?;303
8.2.6;The New Taxonomy;306
8.3;12 Synthesis of (M,R)-Systems;311
8.3.1;Alternate Encodings of the Replication Component in (M,R)-Systems;311
8.3.2;Replication as a Conjugate Isomorphism;313
8.3.3;Replication as a Similarity Class;321
8.3.4;Traversability;325
9;PART V -

Epilogus;331
9.1;13 Ontogenic Vignettes;333
9.1.1;(M,R)-Networks;333
9.1.2;Anticipation in (M,R)-Systems;340
9.1.3;Semiconservative Replication;342
9.1.4;The Ontogenesis of (M,R)-Systems;346
9.2;Appendix -

Category Theory;351
9.2.1;Categories . Functors . Natural Transformations;352
9.2.2;Universality;370
9.2.3;Morphisms and Their Hierarchies;382
9.2.4;Adjoints;386
9.3;Bibliography;395
9.4;Acknowledgments;399
9.5;Index;401