Format:
1 Online-Ressource (xii, 134 Seiten)
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Illustrationen
ISBN:
9783030308964
Series Statement:
Springer Proceedings in Physics volume 235
Content:
Intro -- Introduction -- Contents -- Contributors -- 1 Why Categories? -- 1.1 Introduction -- 1.2 The Beginnings of Category Theory -- 1.3 Category Theory and Philosophy -- 1.3.1 Structuralism Versus Object Realism -- 1.3.2 The Foundations of Mathematics -- 1.3.3 The Problem with Unifying Mathematics -- 1.3.4 Category Theory in Metaphysics -- 1.4 Physics: Category Theory as an Ontology Rescuing Tool -- 1.5 Conclusion -- References -- 2 Category Theory and Philosophy -- 2.1 General Remarks Concerning Category Theory (CT) -- 2.2 CT and Some Classical Problems in Philosophy -- 2.2.1 CT and Ontology -- 2.2.2 CT and Epistemology -- 2.2.3 CT and Epistemology Contd.: Theories of the Development of Mathematics and Science -- 2.3 Conclusion -- References -- 3 Are There Category-Theoretical Explanations of Physical Phenomena? -- 3.1 Introduction -- 3.2 Mathematical Explanations of Physical Phenomena -- 3.3 Category Theory in Physics -- 3.4 Conclusion -- References -- 4 The Application of Category Theory to Epistemic and Poietic Processes -- 4.1 Introduction -- 4.2 Epistemic and Poietic Processes -- 4.3 The Potential of Category Theory -- References -- 5 Asymmetry of Cantorian Mathematics from a Categorial Standpoint: Is It Related to the Direction of Time? -- 5.1 Introduction -- 5.2 Products and Coproducts -- 5.2.1 Products in Certain Categories of Sets with Structures -- 5.2.2 Coproducts in the Same Categories -- 5.2.3 Recapitulation of Main Points -- 5.3 A Philosophical Discussion -- References -- 6 Extending List's Levels -- 6.1 List's Descriptive, Explanatory, and Ontological Levels -- 6.2 Supervenience and Reduction -- 6.3 Extensions: Partial and Non-surjective Maps -- 6.4 Levels as Categories -- 6.5 Conclusions and Prospects -- References -- 7 From Quantum-Mechanical Lattice of Projections to Smooth Structure of mathbbR4 -- 7.1 Introduction.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
ISBN 9783030308957
Additional Edition:
Erscheint auch als Druck-Ausgabe Interdisciplinary Conference entitled Category Theory in Physics, Mathematics, and Philosophy (2017 : Warschau) Category theory in physics, mathematics, and philosophy Cham, Switzerland : Springer, 2019 ISBN 9783030308957
Language:
English
Subjects:
Mathematics
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