Titlebook: Category Theory in Physics, Mathematics, and Philosophy; Marek Kuś,Bartłomiej Skowron Conference proceedings 2019 Springer Nature Switzerl

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Category Theory as a Foundation for the Concept Analysis of Complex Systems and Time Series,nt tools for the analysis of a static system functioning at a single level. We now show how a number of categorical notions allow these tools to be extended to cover the analysis of complex systems involving multiple hierarchical levels indexed by a semilattice, including the case where a chain repr

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Conference proceedings 2019ics, 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 sph

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emonstrate 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 forwa

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The Application of Category Theory to Epistemic and Poietic Processes,. These kinds of activity are conceptualized as processes. The ideas and constitutive components of epistemic and poietic processes are introduced, and against this background possible applications of category theory to the analysis and monitoring of progress in the unfolding of such processes is considered.

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https://doi.org/10.1007/978-3-319-31644-4 not visible from the standard perspective. We present a simple model showing what happens “beyond the boundary” and when the singularity is finally attained. The model is purely mathematical and is mathematically rigorous but it does not pretend, at its present stage, to refer to the physical universe.

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From Quantum-Mechanical Lattice of Projections to Smooth Structure of , is a mapping between Boolean algebras and structures built upon reals, such as manifold covers. The present work aims at a categorical perspective on this subject. In particular, it points at the colimit object in various categories as a principle of combining subobjects into a single structure.

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