Foundations Without Foundationalism
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Foundations Without Foundationalism
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Author : Stewart Shapiro
language : en
Publisher: Clarendon Press
Release Date : 1991-09-19
Foundations Without Foundationalism written by Stewart Shapiro and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-19 with Mathematics categories.
The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.
Pragmatism Without Foundations 2nd Ed
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Author : Joseph Margolis
language : en
Publisher: Bloomsbury Publishing
Release Date : 2007-04-26
Pragmatism Without Foundations 2nd Ed written by Joseph Margolis and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-26 with Philosophy categories.
In this remarkable book, Joseph Margolis, one of America's leading and most celebrated philosophers, examines the relationship between two apparently contradictory philosophical tendencies - realism and relativism. In order to examine the relationship between the two, Margolis establishes a taxomony of different kinds of realism and different kinds of relativism. Drawing on both the analytic and Continental traditions, he examines (from a pragmatic point of view) the various relationships between these two tendencies in the light of two major developments in modern philosophy - the concern for praxis and the concern for historicity. Twenty years after it was first published to great acclaim, Margolis has updated Pragmatism Without Foundations in the light of his most recent work and the development of pragmatism in the intellectual world. This second edition includes an updated preface and a brand new epilogue addressing these developments and their implications for his earlier work.
Cosmopolitanism Without Foundations
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Author : Tamara Caraus
language : en
Publisher: Zeta Books
Release Date : 2015-06-10
Cosmopolitanism Without Foundations written by Tamara Caraus and has been published by Zeta Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-10 with Cosmopolitanism categories.
Nu s-au introdus date
Understanding The Infinite
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Author : Shaughan Lavine
language : en
Publisher: Harvard University Press
Release Date : 2009-06-30
Understanding The Infinite written by Shaughan Lavine and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-30 with Mathematics categories.
An accessible history and philosophical commentary on our notion of infinity. How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge. Praise for Understanding the Infinite “Understanding the Infinite is a remarkable blend of mathematics, modern history, philosophy, and logic, laced with refreshing doses of common sense. It is a potted history of, and a philosophical commentary on, the modern notion of infinity as formalized in axiomatic set theory . . . An amazingly readable [book] given the difficult subject matter. Most of all, it is an eminently sensible book. Anyone who wants to explore the deep issues surrounding the concept of infinity . . . will get a great deal of pleasure from it.” —Ian Stewart, New Scientist “How, in a finite world, does one obtain any knowledge about the infinite? Lavine argues that intuitions about the infinite derive from facts about the finite mathematics of indefinitely large size . . . The issues are delicate, but the writing is crisp and exciting, the arguments original. This book should interest readers whether philosophically, historically, or mathematically inclined, and large parts are within the grasp of the general reader. Highly recommended.” —D. V. Feldman, Choice
A Companion To Philosophical Logic
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Author : Dale Jacquette
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-15
A Companion To Philosophical Logic written by Dale Jacquette 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 2008-04-15 with Philosophy categories.
This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.
The Problem Of Plurality Of Logics
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Author : Pavel Arazim
language : en
Publisher: Bloomsbury Publishing
Release Date : 2021-08-12
The Problem Of Plurality Of Logics written by Pavel Arazim and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-12 with Philosophy categories.
As the foundation of our rationality, logic has traditionally been considered fixed, stable and constant. This conception of the discipline has been challenged recently by the plurality of logics and in this book, Pavel Arazim extends the debate to offer a new view of logic as dynamic and without a definite, specific shape. The Problem of Plurality of Logics examines the origins of our standard view of logic alongside Kant's theories, the holistic view, the issue of logic's pragmatic significance and Robert Brandom's logical expressivism. Arazim then draws on proof-theoretical approaches to present a convincing argument for a dynamic version of logical inferentialism, which opens space for a new freedom to modify our own logic. He explores the scope, possibilities and limits of this freedom in order to highlight the future paths logic could take, as a motivation for further research. Marking a departure from logical monism and also from the recent doctrine of logical pluralism in its various forms, this book addresses current debates concerning the expressive role of logic and contributes to a lively area of discussion in analytic philosophy.
The Metaphysics Of Representation
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Author : J. Robert G. Williams
language : en
Publisher: Oxford University Press
Release Date : 2020-01-09
The Metaphysics Of Representation written by J. Robert G. Williams 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 2020-01-09 with Philosophy categories.
Representation is puzzling. Physical events in our heads andsounds inour mouths come to be 'about' the worldaround us, equipping us to think and talk about anything fromthe mostfundamentalregularities in the universe to trivial matters of gossip.InThe Metaphysics of Representation, Robert Williams tells a story about how representational properties arise out of a fundamentally non-representational world. The representational properties of language are reduced, via convention, to the representational properties of thoughts. The representational properties of thoughts are reduced, via principles of rationalization, to the representational properties of perception and intention. This most fundamental layer of representation is grounded in the functions these structures have to cause and be caused by events in the world. Williams integrates work from rival traditions to present a combined perspective in the metaphysics of representation, gives new predictions and explanations of representational phenomena, and offers new solutions to long-standing problems.
Realism And Anti Realism
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Author : Stuart Brock
language : en
Publisher: Routledge
Release Date : 2014-12-18
Realism And Anti Realism written by Stuart Brock and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-18 with Philosophy categories.
There are a bewildering variety of ways the terms "realism" and "anti-realism" have been used in philosophy and furthermore the different uses of these terms are only loosely connected with one another. Rather than give a piecemeal map of this very diverse landscape, the authors focus on what they see as the core concept: realism about a particular domain is the view that there are facts or entities distinctive of that domain, and their existence and nature is in some important sense objective and mind-independent. The authors carefully set out and explain the different realist and anti-realist positions and arguments that occur in five key domains: science, ethics, mathematics, modality and fictional objects. For each area the authors examine the various styles of argument in support of and against realism and anti-realism, show how these different positions and arguments arise in very different domains, evaluate their success within these fields, and draw general conclusions about these assorted strategies. Error theory, fictionalism, non-cognitivism, relativism and response-dependence are taken as the most important positions in opposition to the realist and these are explored in depth. Suitable for advanced level undergraduates, the book offers readers a clear introduction to a subject central to much contemporary work in metaphysics, epistemology and philosophy of language.
Femenist Ethics And Natural Law
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Author : Cristina L. H. Traina
language : en
Publisher: Georgetown University Press
Release Date : 1999-04-28
Femenist Ethics And Natural Law written by Cristina L. H. Traina and has been published by Georgetown University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-28 with Social Science categories.
Heated debates over such issues as abortion, contraception, ordination, and Church hierarchy suggest that feminist and natural law ethics are diametrically opposed. Cristina L.H. Traina now reexamines both Roman Catholic natural law tradition and Anglo-American feminist ethics and reconciles the two positions by showing how some of their aims and assumptions complement one another. After carefully scrutinizing Aquinas’s moral theology, she analyzes trends in both contemporary feminist ethics, theological as well as secular, and twentieth-century Roman Catholic moral theology. Although feminist ethics reject many of the methods and conclusions of the scholastic and revisionist natural law schools, Traina shows that a truly Thomistic natural law ethic nonetheless provides a much-needed holistic foundation for contemporary feminist ethics. On the other hand, she offers new perspectives on the writings of Josef Fuchs, Richard McCormick, and Gustavo Gutierrez, arguing that their failure to catch the full spirit of Thomas’s moral vision is due to inadequate attention to feminist critical methods. This highly original book proposes an innovative union of two supposedly antagonistic schools of thought, a new feminist natural law that would yield more comprehensive moral analysis than either existing tradition alone. This is a provocative book not only for students of moral theology but also for feminists who may object to the very notion of natural law ethics, suggesting how each might find insight in an unlikely place.
The Tarskian Turn
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Author : Leon Horsten
language : en
Publisher: MIT Press
Release Date : 2011
The Tarskian Turn written by Leon Horsten and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with History categories.
A philosopher proposes a new deflationist view of truth, based on contemporary proof-theoretic approaches.