LEADER 04323nam 22006975 450 001 9910373934403321 005 20200706103410.0 010 $a3-030-30896-0 024 7 $a10.1007/978-3-030-30896-4 035 $a(CKB)4100000009844750 035 $a(DE-He213)978-3-030-30896-4 035 $a(MiAaPQ)EBC5977062 035 $a(PPN)26914420X 035 $a(EXLCZ)994100000009844750 100 $a20191111d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCategory Theory in Physics, Mathematics, and Philosophy /$fedited by Marek Ku?, Bart?omiej Skowron 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XII, 134 p. 3 illus., 1 illus. in color.) 225 1 $aSpringer Proceedings in Physics,$x0930-8989 ;$v235 311 $a3-030-30895-2 327 $aIntroduction -- 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. 330 $aThe contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science. 410 0$aSpringer Proceedings in Physics,$x0930-8989 ;$v235 606 $aPhysics 606 $aCategory theory (Mathematics) 606 $aHomological algebra 606 $aMathematics?Philosophy 606 $aQuantum physics 606 $aMathematical physics 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035 606 $aPhilosophy of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/E34020 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aPhysics. 615 0$aCategory theory (Mathematics). 615 0$aHomological algebra. 615 0$aMathematics?Philosophy. 615 0$aQuantum physics. 615 0$aMathematical physics. 615 14$aMathematical Methods in Physics. 615 24$aCategory Theory, Homological Algebra. 615 24$aPhilosophy of Mathematics. 615 24$aQuantum Physics. 615 24$aMathematical Physics. 676 $a530.15 702 $aKu?$b Marek$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSkowron$b Bart?omiej$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910373934403321 996 $aCategory Theory in Physics, Mathematics, and Philosophy$92541891 997 $aUNINA