Objectivity Realism And Proof
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Objectivity Realism And Proof
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Author : Francesca Boccuni
language : en
Publisher: Springer
Release Date : 2016-07-05
Objectivity Realism And Proof written by Francesca Boccuni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-05 with Science categories.
This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge. The essays collected here explore the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of contemporary theories such as neo-logicist abstractionism, structuralism, or multiversism about sets, by discussing different conceptions of mathematical realism and rival relativistic views on the mathematical universe. They consider fundamental philosophical notions such as set, cardinal number, truth, ground, finiteness and infinity, examining how their informal conceptions can best be captured in formal theories. The philosophy of mathematics is an extremely lively field of inquiry, with extensive reaches in disciplines such as logic and philosophy of logic, semantics, ontology, epistemology, cognitive sciences, as well as history and philosophy of mathematics and science. By bringing together well-known scholars and younger researchers, the essays in this collection – prompted by the meetings of the Italian Network for the Philosophy of Mathematics (FilMat) – show how much valuable research is currently being pursued in this area, and how many roads ahead are still open for promising solutions to long-standing philosophical concerns. Promoted by the Italian Network for the Philosophy of Mathematics – FilMat
Objectivity
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Author : Guy Axtell
language : en
Publisher: John Wiley & Sons
Release Date : 2016-09-12
Objectivity written by Guy Axtell 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 2016-09-12 with Philosophy categories.
What do you find more trustworthy, experts or numbers, personal 'know-how' or 'objective facts'? Can science claim special authority based on the objectivity of its methods? Are our ethical decisions always better when we strive to be impartial and unbiased? Why should we value objectivity, and is it achievable anyway? These are a few of the thought-provoking questions Guy Axtell asks in this comprehensive new text book, employing examples from the natural and social sciences as well as philosophy. This unique introduction surveys the key issues in a clear and concise way, assessing the nature of objectivity and value of the demand to be impartial decision-makers. Moving beyond the fundamentals, Axtell explores contemporary feminist and social epistemological attempts to 'reconstruct' the concept of objectivity, explains the implications of the so-called science wars for philosophy and the analytical method, and the ethical consequences of these debates. Objectivity is an excellent introduction to one of the most exciting areas of study in philosophy and science today. Students and scholars alike will value this balanced guide to a hotly contested, and vitally important, topic.
Truth And Objectivity
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Author : Crispin Wright
language : en
Publisher: Harvard University Press
Release Date : 2009-07-01
Truth And Objectivity written by Crispin Wright 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 2009-07-01 with Philosophy categories.
Crispin Wright offers an original perspective on the place of “realism” in philosophical inquiry. He proposes a radically new framework for discussing the claims of the realists and the anti-realists. This framework rejects the classical “deflationary” conception of truth yet allows both disputants to respect the intuition that judgments, whose status they contest, are at least semantically fitted for truth and may often justifiably be regarded as true. In the course of his argument, Wright offers original critical discussions of many central concerns of philosophers interested in realism, including the “deflationary” conception of truth, internal realist truth, scientific realism and the theoreticity of observation, and the role of moral states of affairs in explanations of moral beliefs.
Philosophy After Objectivity
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Author : Paul K. Moser
language : en
Publisher: Oxford University Press
Release Date : 1999-10-07
Philosophy After Objectivity written by Paul K. Moser 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 1999-10-07 with Philosophy categories.
Since the beginning of philosophy, philosophers have sought objective knowledge: knowledge of things whose existence does not depend on one's conceiving of them. This book uses lessons from debates over objective knowledge to characterize the kinds of reasons pertinent to philosophical and other theoretical views. It argues that we cannot meet skeptics' typical demands for nonquestion-begging support for claims to objective truth, and that therefore we should not regard our supporting reasons as resistant to skeptical challenges. One key lesson is that a constructive, explanatory approach to philosophy must change the subject from skeptic-resistant reasons to perspectival reasons arising from variable semantic commitments and instrumental, purpose-relative considerations. The book lays foundations for such a reorientation of philosophy, treating fundamental methodological issues in ontology, epistemology, the theory of meaning, the philosophy of mind, and the theory of practical rationality. It explains how certain perennial debates in philosophy rest not on genuine disagreement, but on conceptual diversity: talk about different matters. The book shows how acknowledgment of conceptual diversity can resolve a range of traditional disputes in philosophy. It also explains why philosophers need not anchor their discipline in the physicalism of the natural sciences.
The Philosophy Of Science
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Author : George Couvalis
language : en
Publisher: SAGE
Release Date : 1997-04-28
The Philosophy Of Science written by George Couvalis and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-28 with Philosophy categories.
This comprehensive textbook provides a clear nontechnical introduction to the philosophy of science. Through asking whether science can provide us with objective knowledge of the world, the book provides a thorough and accessible guide to the key thinkers and debates that define the field. George Couvalis surveys traditional themes around theory and observation, induction, probability, falsification and rationality as well as more recent challenges to objectivity including relativistic, feminist and sociological readings. This provides a helpful framework in which to locate the key intellectual contributions to these debates, ranging from those of Mill and Hume, through Popper and Kuhn to Laudan, Bloor and Garfinkel among
Foundations Of Objective Knowledge
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Author : Sergio L. de C. Fernandes
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-03-31
Foundations Of Objective Knowledge written by Sergio L. de C. Fernandes 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 1985-03-31 with Philosophy categories.
Kant and Popper. The affmity between the philosophy of Kant and the philosophy of Karl Popper has often been noted, and most decisively in Popper's own reflections on his thought. But in this work before us, Sergio Fernandes has given a cogent, comprehensive, and challenging investigation of Kant which differs from what we may call Popper's Kant while nevertheless showing Kant as very much a precursor of Popper. The investigation is directly conceptual, although Fernandes has also contributed to a novel historical understanding of Kant in his reinterpretation; the novelty is the genuine result of meticulous study of texts and commentators, characterized by the author's thorough command of the epistemological issues in the philosophy of science in the 20th century as much as by his mastery of the Kantian themes of the 18th. Naturally, we may wish to understand whether Kant is relevant to Popper's philosophy of knowledge, how Popper has understood Kant, and to what extent the Popperian Kant has systematically or historically been of influence on later philosophy of science, as seen by Popper or not.
Prawitz S Epistemic Grounding
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Author : Antonio Piccolomini d’Aragona
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Prawitz S Epistemic Grounding written by Antonio Piccolomini d’Aragona and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Philosophy categories.
This book presents an in-depth and critical reconstruction of Prawitz’s epistemic grounding, and discusses it within the broader field of proof-theoretic semantics. The theory of grounds is also provided with a formal framework, through which several relevant results are proved. Investigating Prawitz’s theory of grounds, this work answers one of the most fundamental questions in logic: why and how do some inferences have the epistemic power to compel us to accept their conclusion, if we have accepted their premises? Prawitz proposes an innovative description of inferential acts, as applications of constructive operations on grounds for the premises, yielding a ground for the conclusion. The book is divided into three parts. In the first, the author discusses the reasons that have led Prawitz to abandon his previous semantics of valid arguments and proofs. The second part presents Prawitz’s grounding as found in his ground-theoretic papers. Finally, in the third part, a formal apparatus is developed, consisting of a class of languages whose terms are equipped with denotation functions associating them to operations and grounds, as well as of a class of systems where important properties of the terms can be proved.
Defending The Axioms
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Author : Penelope Maddy
language : en
Publisher: OUP Oxford
Release Date : 2011-01-27
Defending The Axioms written by Penelope Maddy and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-27 with Philosophy categories.
Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments.
Kant S Transcendental Proof Of Realism
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Author : Kenneth R. Westphal
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-02
Kant S Transcendental Proof Of Realism written by Kenneth R. Westphal 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 2004-12-02 with Philosophy categories.
This book is the first detailed study of Kant's method of 'transcendental reflection' and its use in the Critique of Pure Reason to identify our basic human cognitive capacities, and to justify Kant's transcendental proofs of the necessary a priori conditions for the possibility of self-conscious human experience. Kenneth Westphal, in a closely argued internal critique of Kant's analysis, shows that if we take Kant's project seriously in its own terms, the result is not transcendental idealism but (unqualified) realism regarding physical objects. Westphal attends to neglected topics - Kant's analyses of the transcendental affinity of the sensory manifold, the 'lifelessness of matter', fallibilism, the semantics of cognitive reference, four externalist aspects of Kant's views, and the importance of Kant's Metaphysical Foundations for the Critique of Pure Reason - that illuminate Kant's enterprise in new and valuable ways. His book will appeal to all who are interested in Kant's theoretical philosophy.
Bolzano S Philosophy Of Grounding
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Author : Stefan Roski
language : en
Publisher: Oxford University Press
Release Date : 2022
Bolzano S Philosophy Of Grounding written by Stefan Roski 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 2022 with Mathematics categories.
"Provides translations of Bolzano's most important work on grounding, including previously untranslated material"--