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Metamathematics And The Philosophical Tradition

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Metamathematics And The Philosophical Tradition

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Author : William Boos
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-12-17

Metamathematics And The Philosophical Tradition written by William Boos and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-17 with Philosophy categories.

Metamathematics and the Philosophical Tradition is the first work to explore in such historical depth the relationship between fundamental philosophical quandaries regarding self-reference and meta-mathematical notions of consistency and incompleteness. Using the insights of twentieth-century logicians from Gödel through Hilbert and their successors, this volume revisits the writings of Aristotle, the ancient skeptics, Anselm, and enlightenment and seventeenth and eighteenth century philosophers Leibniz, Berkeley, Hume, Pascal, Descartes, and Kant to identify ways in which these both encode and evade problems of a priori definition and self-reference. The final chapters critique and extend more recent insights of late 20th-century logicians and quantum physicists, and offer new applications of the completeness theorem as a means of exploring "metatheoretical ascent" and the limitations of scientific certainty. Broadly syncretic in range, Metamathematics and the Philosophical Tradition addresses central and recurring problems within epistemology. The volume’s elegant, condensed writing style renders accessible its wealth of citations and allusions from varied traditions and in several languages. Its arguments will be of special interest to historians and philosophers of science and mathematics, particularly scholars of classical skepticism, the Enlightenment, Kant, ethics, and mathematical logic.

Metamathematics And The Philosophical Tradition

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Author : William Boos
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-12-17

Philosophy Of Mathematics

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Author : Thomas Bedürftig
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-10-26

Philosophy Of Mathematics written by Thomas Bedürftig and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-26 with Mathematics categories.

The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection

Language And Philosophical Problems

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Author : Sören Stenlund
language : en
Publisher: Routledge
Release Date : 2013-01-11

Language And Philosophical Problems written by Sören Stenlund and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Philosophy categories.

Language and Philosophical Problems investigates problems about mind, meaning and mathematics rooted in preconceptions of language. It deals in particular with problems which are connected with our tendency to be misled by certain prevailing views and preconceptions about language. Philosophical claims made by theorists of meaning are scrutinized and shown to be connected with common views about the nature of certain mathematical notions and methods. Drawing in particular on Wittgenstein's ideas, Sren Stenlund demonstrates a strategy for tracing out and resolving conceptual and philosophical problems. By a critical examination of examples from different areas of philosophy, he shows that many problems arise through the transgression of the limits of the use of technical concepts and formal methods. Many prima facie different kinds of problems are shown to have common roots, and should thus be dealt and resolved together. Such an approach is usually prevented by the influence of traditional philosophical terminology and classification. The results of this investigation make it clear that the received ways of subdividing the subject matter of philosophy often conceal the roots of the problem.

Introducing Philosophy

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Author : Neil Tennant
language : en
Publisher: Routledge
Release Date : 2015-02-11

Introducing Philosophy written by Neil Tennant and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-11 with Philosophy categories.

Written for any readers interested in better harnessing philosophy’s real value, this book covers a broad range of fundamental philosophical problems and certain intellectual techniques for addressing those problems. In Introducing Philosophy: God, Mind, World, and Logic, Neil Tennant helps any student in pursuit of a ‘big picture’ to think independently, question received dogma, and analyse problems incisively. It also connects philosophy to other areas of study at the university, enabling all students to employ the concepts and techniques of this millennia-old discipline throughout their college careers – and beyond. KEY FEATURES AND BENEFITS: -- Investigates the philosophy of various subjects (psychology, language, biology, math), helping students contextualize philosophy and view it as an interdisciplinary pursuit; also helps students with majors outside of philosophy to see the relationship between philosophy and their own focused academic pursuits -- Author comes from a distinguished background in Logic and Philosophy of Language, which gives the book a level of rigor, balance, and analytic focus sometimes missing from primers to philosophy -- Introduces students to various important philosophical distinctions (e.g. fact vs. value, descriptive vs. prescriptive, norms vs. laws of nature, analytic vs. synthetic, inductive vs. deductive, a priori vs. a posteriori) providing skills that are important for undergraduates to develop in order to inform their study at higher levels. They are essential for further work in philosophy but they are also very beneficial for students pursuing most other disciplines -- Is much more methodologically comprehensive than competing introductions, giving the student the ability to address a wide range of philosophical problems – and not just the ones reviewed in the book -- Offers a companion website with links to apt primary sources, organized chapter-by-chapter, making unnecessary a separate Reader/Anthology of primary sources – thus providing students with all reading material necessary for the course -- Provides five to ten discussion questions for each chapter, helping instructors and students better interact with the ideas and concepts in the text

12 Modern Philosophers

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Author : Christopher Belshaw
language : en
Publisher: John Wiley & Sons
Release Date : 2009-03-09

12 Modern Philosophers written by Christopher Belshaw 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 2009-03-09 with Philosophy categories.

Featuring essays from leading philosophical scholars, 12 Modern Philosophers explores the works, origins, and influences of twelve of the most important late 20th Century philosophers working in the analytic tradition. Draws on essays from well-known scholars, including Thomas Baldwin, Catherine Wilson, Adrian Moore and Lori Gruen Locates the authors and their oeuvre within the context of the discipline as a whole Considers how contemporary philosophy both draws from, and contributes to, the broader intellectual and cultural milieu

Semiotics And Philosophy In Charles Sanders Peirce

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Author : Susanna Marietti
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2009-03-26

Semiotics And Philosophy In Charles Sanders Peirce written by Susanna Marietti and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-26 with Philosophy categories.

The subject of this book is the thought of the American pragmatist and founder of semiotics, Charles Sanders Peirce. The book collects the papers presented to the International Conference Semiotics and Philosophy in C.S. Peirce (Milan, April 2005), together with some additional new contributions by well-known Peirce scholars, bearing witness to the vigour of Peircean scholarship in Italy and also hosting some of the most significant international voices on this topic. The book is introduced by the two editors and is divided into three sections, corresponding to the three main areas of the most interesting contemporary reflection on Peirce. Namely, Semiotics and the Logic of Inquiry (part I); Abduction and Philosophy of Mathematics (part II); Peirce and the Western Tradition. (part III). The analysis is carried out from a semiotic perspective, in which semiotics should not be understood as a specific doctrine but rather as the philosophical core of Peirce’s system. As we read in the introduction: “it is semiotics and philosophy or, rather, semiotics as philosophy and philosophy as semiotics, which emerge from a reading of these papers”.

Unifying The Philosophy Of Truth

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Author : Theodora Achourioti
language : en
Publisher: Springer
Release Date : 2015-06-16

Unifying The Philosophy Of Truth written by Theodora Achourioti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-16 with Philosophy categories.

This anthology of the very latest research on truth features the work of recognized luminaries in the field, put together following a rigorous refereeing process. Along with an introduction outlining the central issues in the field, it provides a unique and unrivaled view of contemporary work on the nature of truth, with papers selected from key conferences in 2011 such as Truth Be Told (Amsterdam), Truth at Work (Paris), Paradoxes of Truth and Denotation (Barcelona) and Axiomatic Theories of Truth (Oxford). Studying the nature of the concept of ‘truth’ has always been a core role of philosophy, but recent years have been a boom time in the topic. With a wealth of recent conferences examining the subject from various angles, this collection of essays recognizes the pressing need for a volume that brings scholars up to date on the arguments. Offering academics and graduate students alike a much-needed repository of today’s cutting-edge work in this vital topic of philosophy, the volume is required reading for anyone needing to keep abreast of developments, and is certain to act as a catalyst for further innovation and research.

The Oxford Companion To Philosophy

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Author : Ted Honderich
language : en
Publisher: OUP Oxford
Release Date : 2005-03-10

The Oxford Companion To Philosophy written by Ted Honderich and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-10 with Philosophy categories.

Oxford University Press presents a major new edition of the definitive philosophical reference work for readers at all levels. For ten years the original volume has served as a stimulating introduction for general readers and as an indispensable guide for students; its breadth and depth of coverage have ensured that it is also read with pleasure and interest by those working at a higher level in philosophy and related disciplines. A distinguished international assembly of 249 philosophers contributed almost 2,000 entries, and many of these have now been considerably revised and updated; to these are added over 300 brand-new pieces on a fascinating range of current topics. This new edition offers enlightening and enjoyable discussions of all aspects of philosophy, and of the lives and work of the great philosophers from antiquity to the present day.

Kant And The Foundations Of Analytic Philosophy

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Author : Robert Hanna
language : en
Publisher: Clarendon Press
Release Date : 2001-01-04

Kant And The Foundations Of Analytic Philosophy written by Robert Hanna and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-04 with Philosophy categories.

Robert Hanna presents a fresh view of the Kantian and analytic traditions that have dominated continental European and Anglo-American philosophy over the last two centuries, and of the relation between them. The rise of analytic philosophy decisively marked the end of the hundred-year dominance of Kant's philosophy in Europe. But Hanna shows that the analytic tradition also emerged from Kant's philosophy in the sense that its members were able to define and legitimate their ideas only by means of an intensive, extended engagement with, and a partial or complete rejection of, the Critical Philosophy. Hanna's book therefore comprises both an interpretative study of Kant's massive and seminal Critique of Pure Reason, and a critical essay on the historical foundations of analytic philosophy from Frege to Quine. Hanna considers Kant's key doctrines in the Critique in the light of their reception and transmission by the leading figures of the analytic tradition--Frege, Moore, Russell, Wittgenstein, Carnap, and Quine. But this is not just a study in the history of philosophy, for out of this emerges Hanna's original approach to two much-contested theories that remain at the heart of contemporary philosophy. Hanna puts forward a new 'cognitive-semantic' interpretation of transcendental idealism, and a vigorous defence of Kant's theory of analytic and synthetic necessary truth. These will make Kant and the Foundations of Analytic Philosophy compelling reading not just for specialists in the history of philosophy, but for all who are interested in these fundamental philosophical issues.

Metamathematics And The Philosophical Tradition

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