The Palgrave Companion To The Philosophy Of Set Theory
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The Palgrave Companion To The Philosophy Of Set Theory
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Author : Carolin Antos
language : en
Publisher: Palgrave Macmillan
Release Date : 2025-04-18
The Palgrave Companion To The Philosophy Of Set Theory written by Carolin Antos and has been published by Palgrave Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-18 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.
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.
The Philosophy Of Penelope Maddy
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Author : Sophia Arbeiter
language : en
Publisher: Springer Nature
Release Date : 2024-10-15
The Philosophy Of Penelope Maddy written by Sophia Arbeiter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-15 with Mathematics categories.
This volume features more than 20 essays that explore the work of one of the most important contemporary philosophers of mathematics. It will help readers to better appreciate this significant and prolific philosopher. Within philosophy of mathematics, Penelope Maddy initially advocated realism. She then went on to advance naturalism. Both of her positions became very influential in the field, along with her other work in the philosophy of logic. The contributors comment on and otherwise engage with Maddy’s work. They also weigh in on the state of set theory and its philosophy, the philosophy and history of logic, naturalism, skepticism, and the myriad other areas to which Maddy left her mark. Overall, coverage traces her influence on these various ideas over the years. It will also help readers to better understand how philosophers working at the forefront of these areas see these concepts today. These essays will be essential reading for the wide group of philosophers working in these different areas as well as graduate students studying philosophy of mathematics and logic and the other related issues to which Maddy has contributed. The volume will also appeal to logicians and set theorists in general, as well as to philosophers working in analytic philosophy more widely, as well as to those working in the history of philosophy.
The Palgrave Centenary Companion To Principia Mathematica
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Author : Bernard Linsky
language : en
Publisher: Springer
Release Date : 2013-11-29
The Palgrave Centenary Companion To Principia Mathematica written by Bernard Linsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-29 with Philosophy categories.
To mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.
A Companion To Wittgenstein
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Author : Hans-Johann Glock
language : en
Publisher: John Wiley & Sons
Release Date : 2016-12-20
A Companion To Wittgenstein written by Hans-Johann Glock and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-20 with Philosophy categories.
A COMPANION TO WITTGENSTEIN The most comprehensive survey of Wittgenstein's thought yet compiled, this volume of fifty newly commissioned essays by leading interpreters of his philosophy is a keynote addition to the Blackwell Companions to Philosophy series. Full of penetrating insights into the life and work of the most important philosopher of the twentieth century, the collection explores the full range of Wittgenstein’s contribution to philosophy. It includes essays on his intellectual development, his work in logic and mathematics, philosophy of language, philosophy of mind and action, epistemology, ethics, philosophy of religion, and much else. As well as examining Wittgenstein’s contribution to human understanding in detail, the Companion features vital contextual analysis that traces the relationship between his ideas and those of other philosophers and schools of thought, including the Aristotelian and continental philosophical traditions. Authors also address prominent themes that remain current in today’s philosophical debates, explaining Wittgenstein’s continuing legacy alongside his historical significance. Essential reading for scholars of philosophy at all levels, A Companion to Wittgenstein combines engaging commentary with unrivaled academic authority.
Thin Objects
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Author : Øystein Linnebo
language : en
Publisher: Oxford University Press
Release Date : 2018-05-24
Thin Objects written by Øystein Linnebo and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-24 with Philosophy categories.
Are there objects that are “thin” in the sense that not very much is required for their existence? Frege famously thought so. He claimed that the equinumerosity of the knives and the forks suffices for there to be objects such as the number of knives and the number of forks, and for these objects to be identical. The idea of thin objects holds great philosophical promise but has proved hard to explicate. Øystein Linnebo aims to do so by drawing on some Fregean ideas. First, to be an object is to be a possible referent of a singular term. Second, singular reference can be achieved by providing a criterion of identity for the would-be referent. The second idea enables a form of easy reference and thus, via the first idea, also a form of easy being. Paradox is avoided by imposing a predicativity restriction on the criteria of identity. But the abstraction based on a criterion of identity may result in an expanded domain. By iterating such expansions, a powerful account of dynamic abstraction is developed. The result is a distinctive approach to ontology. Abstract objects such as numbers and sets are demystified and allowed to exist alongside more familiar physical objects. And Linnebo also offers a novel approach to set theory which takes seriously the idea that sets are “formed” successively.
Naturalizing Badiou
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Author : Fabio Gironi
language : en
Publisher: Springer
Release Date : 2014-11-23
Naturalizing Badiou written by Fabio Gironi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-23 with Philosophy categories.
Crossing the boundaries between 'continental' and 'analytic' philosophical approaches, this book proposes a naturalistic revision of the mathematical ontology of Alain Badiou, establishing links with structuralist projects in the philosophy of science and mathematics.
Naturalism And Its Challenges
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Author : Gary N. Kemp
language : en
Publisher: Taylor & Francis
Release Date : 2024-11-25
Naturalism And Its Challenges written by Gary N. Kemp and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-25 with Philosophy categories.
This volume features new essays on the application, justification, and role of naturalism in philosophical inquiry. It serves as an important update on current controversies about naturalism. The contributors include leading figures who have written on naturalism and its relevance to a wide range of issues across philosophical subdisciplines. The chapters discuss how naturalism can be properly employed in different philosophical areas such as epistemology, metaphysics, philosophy of mind, philosophy of language, philosophy of religion, philosophy of time, philosophy of science, philosophy of mathematics, philosophy of memory, cognitive science, ethics, meta-ethics, and normativity. Naturalism and Its Challenges will be of interest to scholars and advanced students working in a wide range of philosophical disciplines.
Everything More Or Less
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Author : J. P. Studd
language : en
Publisher: Oxford University Press
Release Date : 2019-04-04
Everything More Or Less written by J. P. Studd and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-04 with Philosophy categories.
Almost no systematic theorizing is generality-free. Scientists test general hypotheses; set theorists prove theorems about every set; metaphysicians espouse theses about all things regardless of their kind. But how general can we be and do we ever succeed in theorizing about absolutely everything? Not according to generality relativism. In its most promising form, this kind of relativism maintains that what 'everything' and other quantifiers encompass is always open to expansion: no matter how broadly we may generalize, a more inclusive 'everything' is always available. The importance of the issue comes out, in part, in relation to the foundations of mathematics. Generality relativism opens the way to avoid Russell's paradox without imposing ad hoc limitations on which pluralities of items may be encoded as a set. On the other hand, generality relativism faces numerous challenges: What are we to make of seemingly absolutely general theories? What prevents our achieving absolute generality simply by using 'everything' unrestrictedly? How are we to characterize relativism without making use of exactly the kind of generality this view foreswears? This book offers a sustained defence of generality relativism that seeks to answer these challenges. Along the way, the contemporary absolute generality debate is traced through diverse issues in metaphysics, logic, and the philosophy of language; some of the key works that lie behind the debate are reassessed; an accessible introduction is given to the relevant mathematics; and a relativist-friendly motivation for Zermelo-Fraenkel set theory is developed.
Mereology
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Author : A. J. Cotnoir
language : en
Publisher: Oxford University Press
Release Date : 2021
Mereology written by A. J. Cotnoir and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematics categories.
Aaron Cotnoir and Achille Varzi present a comprehensive and up-to-date guide to mereology, the study of relations between parts and wholes. They introduce a variety of theories and offer all the tools needed to engage in this ever-evolving field of inquiry, for readers at all levels, from newcomers to experts.