The Joy of Abstraction: An Exploration of Math, Category Theory, and Life, Eugenia Cheng
Автор: Awodey, Steve Название: Introduction to Category Theory (Paperback) ISBN: 0199237182 ISBN-13(EAN): 9780199237180 Издательство: Oxford Academ Рейтинг: Цена: 8696.00 р. 9662.00-10% Наличие на складе: Есть (1 шт.) Описание: A comprehensive reference to category theory for students and researchers in mathematics, computer science, logic, cognitive science, linguistics, and philosophy. Useful for self-study and as a course text, the book includes all basic definitions and theorems (with full proofs), as well as numerous examples and exercises.
Автор: Pierce, Benjamin C. Название: Basic Category Theory Fo ISBN: 0262660717 ISBN-13(EAN): 9780262660716 Издательство: MIT Press Рейтинг: Цена: 5925.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories.
Описание: Category theory reveals commonalities between structures of all sorts. This self-contained tour of applied category theory shows its potential in science, engineering, and beyond. Each chapter discusses a real-world application using category-theoretic tools, all of which are introduced in an accessible way with many examples and exercises.
Автор: Mancosu Paolo Название: Abstraction and Infinity ISBN: 0198822685 ISBN-13(EAN): 9780198822684 Издательство: Oxford Academ Рейтинг: Цена: 7424.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.
Автор: Roy T. Cook Название: The Arch? Papers on the Mathematics of Abstraction ISBN: 9048170907 ISBN-13(EAN): 9789048170906 Издательство: Springer Рейтинг: Цена: 27251.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume collects together a number of important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines.
Автор: Riehl, Emily (the Johns Hopkins University, Maryland) Verity, Dominic (macquarie University, Sydney) Название: Elements of -category theory ISBN: 1108837980 ISBN-13(EAN): 9781108837989 Издательство: Cambridge Academ Рейтинг: Цена: 9502.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The language of -categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. This book develops a new, more accessible model-independent approach to the foundations of -category theory by studying the universe, or -cosmos, in which -categories live.
Автор: Kuś Marek, Skowron Bartlomiej Название: Category Theory in Physics, Mathematics, and Philosophy ISBN: 3030308987 ISBN-13(EAN): 9783030308988 Издательство: Springer Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduction.- Why Categories?.- Category Theory and Philosophy.- Comments on: Category Theory and Philosophy by Zbigniew Krol.- Are There Category-Theoretical Explanations ofPhysical 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 Foundationfor the Concept Analysis of Complex Systems and Time Series.
Автор: Marek Ku?; Bart?omiej Skowron Название: Category Theory in Physics, Mathematics, and Philosophy ISBN: 3030308952 ISBN-13(EAN): 9783030308957 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Автор: Ebbesen Sten, Sirridge Mary, Ashworth E. Jennifer Название: Master Richard Sophista: Abstractiones ISBN: 0197265979 ISBN-13(EAN): 9780197265970 Издательство: Oxford Academ Рейтинг: Цена: 26209.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Abstractiones is of great historical interest because it gives a window onto how generations of British scholars learned a uniform approach to logic and reasoning from basics up to more sophisticated strategies in modal logic and quantification. It gives a systematic introduction to the techniques and terminology found in medieval philosophy.
Описание: Category theory reveals commonalities between structures of all sorts. This self-contained tour of applied category theory shows its potential in science, engineering, and beyond. Each chapter discusses a real-world application using category-theoretic tools, all of which are introduced in an accessible way with many examples and exercises.
Автор: Rocco Gangle Название: Diagrammatic Immanence: Category Theory and Philosophy ISBN: 1474474586 ISBN-13(EAN): 9781474474580 Издательство: Bloomsbury Academic Рейтинг: Цена: 3958.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A renewal of immanent metaphysics through diagrammatic methods and the tools of category theory
Spinoza, Peirce and Deleuze are, in different ways, philosophers of immanence. Rocco Gangle addresses the methodological questions raised by a commitment to immanence in terms of how diagrams may be used both as tools and as objects of philosophical investigation. He integrates insights from Spinozist metaphysics, Peircean semiotics and Deleuze's philosophy of difference in conjunction with the formal operations of category theory.
Category theory reveals deep structural connections among logic, topology and a variety of different areas of mathematics, and it provides constructive and rigorous concepts for investigating how diagrams work. Gangle introduces the methods of category theory from a philosophical and diagrammatic perspective, allowing philosophers with little or no mathematical training to come to grips with this important field.
This coordination of immanent metaphysics, diagrammatic method and category theoretical mathematics opens a new horizon for contemporary thought.
Автор: Mancosu Paolo Название: Abstraction and Infinity ISBN: 0198746822 ISBN-13(EAN): 9780198746829 Издательство: Oxford Academ Рейтинг: Цена: 21841.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.
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