Set Theory And Hierarchy Theory
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Set Theory And Hierarchy Theory
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Author : W. Marek
language : en
Publisher: Springer
Release Date : 2006-11-14
Set Theory And Hierarchy Theory written by W. Marek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Set Theory And Hierarchy Theory V
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Author : A. Lachlan
language : en
Publisher: Springer
Release Date : 2006-11-15
Set Theory And Hierarchy Theory V written by A. Lachlan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Set Theory And Hierarchy Theory
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Author : Wiktor Marek
language : en
Publisher: Springer
Release Date : 1976
Set Theory And Hierarchy Theory written by Wiktor Marek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
Set Theory And Hierarchy Theory V
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Author : Alistair Lachlan
language : en
Publisher:
Release Date : 2014-01-15
Set Theory And Hierarchy Theory V written by Alistair Lachlan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Set Theory And Its Philosophy
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Author : Michael D. Potter
language : en
Publisher:
Release Date : 2004
Set Theory And Its Philosophy written by Michael D. Potter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Set theory categories.
Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. This is a comprehensive philosophical introduction to the field offering a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates.
Set Theory And Hierarchy Theory
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Author : W. Marek
language : en
Publisher:
Release Date : 2014-01-15
Set Theory And Hierarchy Theory written by W. Marek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
The Higher Infinite
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Author : Akihiro Kanamori
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-28
The Higher Infinite written by Akihiro Kanamori and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-28 with Mathematics categories.
Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
The Palgrave Companion To The Philosophy Of Set Theory
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Author : Carolin Antos
language : en
Publisher: Springer Nature
Release Date : 2025-04-17
The Palgrave Companion To The Philosophy Of Set Theory written by Carolin Antos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-17 with Mathematics categories.
This volume showcases some of the up-and-coming voices of an emerging field - the philosophy of set theory - which in recent years has gained prominence in the philosophy of mathematics. The chapters in this volume both present new topics and propose solutions to old problems. It contains a broad picture of the philosophy of set theory, examining questions from epistemology and ontology, whilst touching on the use of formal theories in the study of mathematical infinity. Key features of this volume: • Explores new and interesting connections between philosophy, set theory, and the study of infinity. • Considers questions intended to appeal to a wider audience in both philosophy and mathematical logic. • Examines three key areas of study: Epistemology, Formal Theories, and Ontology. The book provides a key reference text for future debates and is ideal for both newcomers to the philosophy of set theory and established researchers in the field.
Universality In Set Theories
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Author : Manuel Bremer
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-02
Universality In Set Theories written by Manuel Bremer and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Philosophy categories.
The book discusses the fate of universality and a universal set in several set theories. The book aims at a philosophical study of ontological and conceptual questions around set theory. Set theories are ontologies. They posit sets and claim that these exhibit the essential properties laid down in the set theoretical axioms. Collecting these postulated entities quantified over poses the problem of universality. Is the collection of the set theoretical entities itself a set theoretical entity? What does it mean if it is, and what does it mean if it is not? To answer these questions involves developing a theory of the universal set. We have to ask: Are there different aspects to universality in set theory, which stand in conflict to each other? May inconsistency be the price to pay to circumvent ineffability? And most importantly: How far can axiomatic ontology take us out of the problems around universality?
Higher Recursion Theory And Set Theory
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Author : James Cummings
language : en
Publisher: World Scientific
Release Date : 2025-02-18
Higher Recursion Theory And Set Theory written by James Cummings and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-18 with Mathematics categories.
This volume celebrates the research contributions of Professors Theodore A Slaman and W Hugh Woodin, marking their distinguished careers in higher recursion theory and set theory as they approached the milestone of their 65th birthdays in 2019. It originates from the Institute for Mathematical Sciences program, Higher Recursion Theory and Set Theory, held at the National University of Singapore (May 20-June 14, 2019).The program explored cutting-edge developments in higher recursion theory, set theory, and their intricate interconnections. Topics discussed during the workshop included Martin's conjecture, higher randomness, the HOD conjecture, descriptive inner model theory, and the Ultimate-L program.This volume presents 15 peer-reviewed contributions by leading experts in the field, offering a comprehensive overview of recent advances in higher recursion theory and set theory, with a focus on their dynamic interactions.