04323nam 22006975 450 991037393440332120200706103410.03-030-30896-010.1007/978-3-030-30896-4(CKB)4100000009844750(DE-He213)978-3-030-30896-4(MiAaPQ)EBC5977062(PPN)26914420X(EXLCZ)99410000000984475020191111d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierCategory Theory in Physics, Mathematics, and Philosophy /edited by Marek Kuś, Bartłomiej Skowron1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XII, 134 p. 3 illus., 1 illus. in color.) Springer Proceedings in Physics,0930-8989 ;2353-030-30895-2 Introduction -- Why Categories? -- Category Theory and Philosophy -- Comments on: Category Theory and Philosophy by Zbigniew Krol -- Are There Category-Theoretical Explanations of Physical Phenomena? -- The Application of Category Theory to Epistemic and Poietic Processes -- Asymmetry of Cantorian Mathematics from a Categorial Standpoint: Is It Related to the Direction of Time? -- Extending List’s Levels -- From quantum-mechanical lattice of projections to smooth structure of R4 -- Beyond the Space-Time Boundary -- Aspects of Perturbative Quantum Gravity on Synthetic Spacetimes -- Category Theory as a Foundation for the Concept Analysis of Complex Systems and Time Series.The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science.Springer Proceedings in Physics,0930-8989 ;235PhysicsCategory theory (Mathematics)Homological algebraMathematics—PhilosophyQuantum physicsMathematical physicsMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035Philosophy of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/E34020Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Physics.Category theory (Mathematics).Homological algebra.Mathematics—Philosophy.Quantum physics.Mathematical physics.Mathematical Methods in Physics.Category Theory, Homological Algebra.Philosophy of Mathematics.Quantum Physics.Mathematical Physics.530.15Kuś Marekedthttp://id.loc.gov/vocabulary/relators/edtSkowron Bartłomiejedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910373934403321Category Theory in Physics, Mathematics, and Philosophy2541891UNINA