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.
Conceptions Of Set And The Foundations Of Mathematics
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Author : Luca Incurvati
language : en
Publisher: Cambridge University Press
Release Date : 2021-07-15
Conceptions Of Set And The Foundations Of Mathematics written by Luca Incurvati and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-15 with Science categories.
Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.
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.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Second Philosophy A Naturalistic Method
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Author : Penelope Maddy
language : en
Publisher: Clarendon Press
Release Date : 2007-04-19
Second Philosophy A Naturalistic Method written by Penelope Maddy and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-19 with Science categories.
Many philosophers these days consider themselves naturalists, but it's doubtful any two of them intend the same position by the term. In this book, Penelope Maddy describes and practises a particularly austere form of naturalism called 'Second Philosophy'. Without a definitive criterion for what counts as 'science' and what doesn't, Second Philosophy can't be specified directly - 'trust only the methods of science!' or some such thing - so Maddy proceeds instead by illustratingthe behaviours of an idealized inquirer she calls the 'Second Philosopher'. This Second Philosopher begins from perceptual common sense and progresses from there to systematic observation, active experimentation, theory formation and testing, working all the while to assess, correct and improve hermethods as she goes. Second Philosophy is then the result of the Second Philosopher's investigations.Maddy delineates the Second Philosopher's approach by tracing her reactions to various familiar skeptical and transcendental views (Descartes, Kant, Carnap, late Putnam, van Fraassen), comparing her methods to those of other self-described naturalists (especially Quine), and examining a prominent contemporary debate (between disquotationalists and correspondence theorists in the theory of truth) to extract a properly second-philosophical line of thought. She then undertakes to practise SecondPhilosophy in her reflections on the ground of logical truth, the methodology, ontology and epistemology of mathematics, and the general prospects for metaphysics naturalized.
The Palgrave Schopenhauer Handbook
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Author : Sandra Shapshay
language : en
Publisher: Springer
Release Date : 2018-01-23
The Palgrave Schopenhauer Handbook written by Sandra Shapshay and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-23 with Philosophy categories.
This comprehensive Handbook offers a leading-edge yet accessible guide to the most important facets of Arthur Schopenhauer’s philosophical system, the last true system of German philosophy. Written by a diverse, international and interdisciplinary group of eminent and up-and-coming scholars, each of the 28 chapters in this Handbook includes an authoritative exposition of different viewpoints as well as arguing for a particular thesis. Authors also put Schopenhauer’s ideas into historical context and connect them when possible to contemporary philosophy. Key features: Structured in six parts, addressing the development of Schopenhauer’s system, his epistemology and metaphysics, aesthetics and philosophy of art, ethical and political thought, philosophy of religion and legacy in Britain, France, and the US. Special coverage of Schopenhauer’s treatment of Judaism, Christianity, Vedic thought and Buddhism Attention to the relevance of Schopenhauer for contemporary metaphysics, metaethics and ethics in particular. The Palgrave Schopenhauer Handbook is an essential resource for scholars as well as advanced students of nineteenth-century philosophy. Researchers and graduate students in musicology, comparative literature, religious studies, English, French, history, and political science will find this guide to be a rigorous and refreshing Handbook to support their own explorations of Schopenhauer’s thought.