Temporal Topos Methods for the Philosophy of Natural Sciences: The Nexus of Ontology and Epistemology - Couverture rigide
Synopsis
For example, it is the author’s intent to capture reality as a pair of the cognitive realm and the physical realm, for which the author uses the notion of (temporal) topos theory, as a pair of an initial object and a terminal object of temporal topos.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Goro C. Kato is a professor emeritus of mathematics at California Polytechnic State University, San Luis Obispo, CA, USA. Kato was born in 1948 in Kariya, Japan, and he came to the USA on a Rotary International Foundation Fellowship. He earned his Ph.D. in 1979 from the University of Rochester, Rochester, NY, and his Ph.D. thesis advisor was Professor Saul Lubkin. His areas of study are p-adic cohomology (ref: The Heart of Cohomology published by Springer-Verlag, 2006), the theory of D-modules (ref: Fundamentals of Algebraic Microlocal Analysis, with coauthor Daniele Struppa, published by Chapman & Hall / CRC, 1999), and temporal topos theory (ref: Elements of Temporal Topos, published by Abramis Academic Publishing, 2013). Kato's memoir on his visits from 1986-2008 to the Institute for Advanced Study, Princeton, NJ, was published (in Japanese) by Iwanami-Shoten, Tokyo, 2019.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Temporal Topos Methods for the Philosophy of Natural Sciences (eng)
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Temporal Topos Methods for the Philosophy of Natural Sciences
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Springer Nature Singapore, Springer Nature Singapore Mai 2025, 2025
ISBN 10 : 9819624193
ISBN 13 : 9789819624195
Neuf
Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is afirst attempt tounify and explain, through thelanguageofpure mathematics called categories and sheaves, themechanism ofmental activities. Humanities and philosophymeet physics and mathematicsatbothlevels ofthemicrocosm and macrocosm.Thepurpose ofthis book is toprovide systematic and unifying methods forthephysical and thecognitive aspects ofa conscious entity. Thephilosophical thoughts oftheWest and theEast will be formulated and presented in terms ofcategories and sheavesusingpure mathematics. Adefinition-based rigorous approach and method using categorical sheaf theory is a completely new attemptto formulatetheontological philosophies, which must be consistent withquantum physics. For example, it is theauthor's intent tocapture realityas a pair ofthecognitive realm and thephysical realm, forwhich theauthoruses thenotion of(temporal) topos theory, as a pair ofan initial object and a terminal object oftemporal topos. This book allows philosophers and natural scientists tointeracttodiscuss and observe thephysical world and thecognitive world. That is, a brain existing in thephysical world is simultaneously functioning in thecognitive world. Theauthorprovides detailed descriptions fortheprocess fromthesmall tothelarge, which is a part ofdescent-sheaf theory in mathematics by gluing thelocal data toobtain a global object. Adescription ofa process of'understanding' (and realizing-recognizing-discovering) is also formulated in terms oftemporal topos language.Theauthorprovides alltheneeded mathematical backgroundso that readers whose main interests are in humanities can enjoy and appreciate therigorousness and theharmony ofhumanities and natural sciences. 164 pp. Englisch. N° de réf. du vendeur 9789819624195
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Temporal Topos Methods for the Philosophy of Natural Sciences
Edité par
Springer, Springer Mai 2025, 2025
ISBN 10 : 9819624193
ISBN 13 : 9789819624195
Neuf
Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is a first attempt to unify and explain, through the language of pure mathematics called categories and sheaves, the mechanism of mental activities. Humanities and philosophy meet physics and mathematics at both levels of the microcosm and macrocosm.The purpose of this book is to provide systematic and unifying methods for the physical and the cognitive aspects of a conscious entity. The philosophical thoughts of the West and the East will be formulated and presented in terms of categories and sheaves using pure mathematics. A definition-based rigorous approach and method using categorical sheaf theory is a completely new attempt to formulate the ontological philosophies, which must be consistent with quantum physics. For example, it is the author's intent to capture reality as a pair of the cognitive realm and the physical realm, for which the author uses the notion of (temporal) topos theory, as a pair of an initial object and a terminal object of temporal topos. This book allows philosophers and natural scientists to interact to discuss and observe the physical world and the cognitive world. That is, a brain existing in the physical world is simultaneously functioning in the cognitive world. The author provides detailed descriptions for the process from the small to the large, which is a part of descent-sheaf theory in mathematics by gluing the local data to obtain a global object. A description of a process of 'understanding' (and realizing-recognizing-discovering) is also formulated in terms of temporal topos language.The author provides all the needed mathematical background so that readers whose main interests are in humanities can enjoy and appreciate the rigorousness and the harmony of humanities and natural sciences.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 164 pp. Englisch. N° de réf. du vendeur 9789819624195
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Temporal Topos Methods for the Philosophy of Natural Sciences | The Nexus of Ontology and Epistemology
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Buch. Etat : Neu. Temporal Topos Methods for the Philosophy of Natural Sciences | The Nexus of Ontology and Epistemology | Goro C. Kato | Buch | xvii | Englisch | 2025 | Springer | EAN 9789819624195 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 132634643
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Temporal Topos Methods for the Philosophy of Natural Sciences : The Nexus of Ontology and Epistemology
Edité par
Springer Nature Singapore, Springer Nature Singapore, 2025
ISBN 10 : 9819624193
ISBN 13 : 9789819624195
Neuf
Couverture rigide
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is afirst attempt tounify and explain, through thelanguageofpure mathematics called categories and sheaves, themechanism ofmental activities. Humanities and philosophymeet physics and mathematicsatbothlevels ofthemicrocosm and macrocosm.Thepurpose ofthis book is toprovide systematic and unifying methods forthephysical and thecognitive aspects ofa conscious entity. Thephilosophical thoughts oftheWest and theEast will be formulated and presented in terms ofcategories and sheavesusingpure mathematics. Adefinition-based rigorous approach and method using categorical sheaf theory is a completely new attemptto formulatetheontological philosophies, which must be consistent withquantum physics. For example, it is theauthor's intent tocapture realityas a pair ofthecognitive realm and thephysical realm, forwhich theauthoruses thenotion of(temporal) topos theory, as a pair ofan initial object and a terminal object oftemporal topos. This book allows philosophers and natural scientists tointeracttodiscuss and observe thephysical world and thecognitive world. That is, a brain existing in thephysical world is simultaneously functioning in thecognitive world. Theauthorprovides detailed descriptions fortheprocess fromthesmall tothelarge, which is a part ofdescent-sheaf theory in mathematics by gluing thelocal data toobtain a global object. Adescription ofa process of'understanding' (and realizing-recognizing-discovering) is also formulated in terms oftemporal topos language.Theauthorprovides alltheneeded mathematical backgroundso that readers whose main interests are in humanities can enjoy and appreciate therigorousness and theharmony ofhumanities and natural sciences. N° de réf. du vendeur 9789819624195
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