Search results for: truth-objects-infinity

Truth Objects Infinity

Author : Fabrice Pataut
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This volume features essays about and by Paul Benacerraf, whose ideas have circulated in the philosophical community since the early nineteen sixties, shaping key areas in the philosophy of mathematics, the philosophy of language, the philosophy of logic, and epistemology. The book started as a workshop held in Paris at the Collège de France in May 2012 with the participation of Paul Benacerraf. The introduction addresses the methodological point of the legitimate use of so-called “Princess Margaret Premises” in drawing philosophical conclusions from Gödel’s first incompleteness theorem. The book is then divided into three sections. The first is devoted to an assessment of the improved version of the original dilemma of “Mathematical Truth” due to Hartry Field: the challenge to the platonist is now to explain the reliability of our mathematical beliefs given the very subject matter of mathematics, either pure or applied. The second addresses the issue of the ontological status of numbers: Frege’s logicism, fictionalism, structuralism, and Bourbaki’s theory of structures are called up for an appraisal of Benacerraf’s negative conclusions of “What Numbers Could Not Be.” The third is devoted to supertasks and bears witness to the unique standing of Benacerraf’s first publication: “Tasks, Super-Tasks, and Modern Eleatics” in debates on Zeno’s paradox and associated paradoxes, infinitary mathematics, and constructivism and finitism in the philosophy of mathematics. Two yet unpublished essays by Benacerraf have been included in the volume: an early version of “Mathematical Truth” from 1968 and an essay on “What Numbers Could Not Be” from the mid 1970’s. A complete chronological bibliography of Benacerraf’s work to 2016 is provided.Essays by Jody Azzouni, Paul Benacerraf, Justin Clarke-Doane, Sébastien Gandon, Brice Halimi, Jon Pérez Laraudogoitia, Mary Leng, Antonio León-Sánchez and Ana C. León-Mejía, Marco Panza, Fabrice Pataut, Philippe de Rouilhan, Andrea Sereni, and Stewart Shapiro.

Truth Objects Infinity

Author : Fabrice Pataut
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This volume features essays about and by Paul Benacerraf, whose ideas have circulated in the philosophical community since the early nineteen sixties, shaping key areas in the philosophy of mathematics, the philosophy of language, the philosophy of logic, and epistemology. The book started as a worskhop held in Paris at the Collège de France in May 2012 with the participation of Paul Benacerraf. The introduction addresses the methodological point of the legitimate use of so-called “Princess Margaret Premises” in drawing philosophical conclusions from Gödel’s first incompleteness theorem. The book is then divided into three sections. The first is devoted to an assessment of the improved version of the original dilemma of “Mathematical Truth” due to Hartry Field: the challenge to the platonist is now to explain the reliability of our mathematical beliefs given the very subject matter of mathematics, either pure or applied. The second addresses the issue of the ontological status of numbers: Frege’s logicism, fictionalism, structuralism, and Bourbaki’s theory of structures are called up for an appraisal of Benacerraf’s negative conclusions of “What Numbers Could Not Be.” The third is devoted to supertasks and bears witness to the unique standing of Benacerraf’s first publication: “Tasks, Super-Tasks, and Modern Eleatics” in debates on Zeno’s paradox and associated paradoxes, infinitary mathematics, and constructivism and finitism in the philosophy of mathematics. Two yet unpublished essays by Benacerraf have been included in the volume: an early version of “Mathematical Truth” from 1968 and an essay on “What Numbers Could Not Be” from the mid 1970’s. A complete chronological bibliography of Benacerraf’s work to 2016 is provided.Essays by Jody Azzouni, Paul Benacerraf, Justin Clarke-Doane, Sébastien Gandon, Brice Halimi, Jon Pérez Laraudogoitia, Mary Leng, Antonio Leòn-Sànchez and Ana Leòn-Mejía, Marco Panza, Fabrice Pataut, Philippe de Rouilhan, Andrea Sereni, and Stewart Shapiro.

Semantics and Truth

Author : Jan Woleński
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The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).

Oxford Studies in Epistemology

Author : Tamar Szabó Gendler
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This work is a major biennial volume offering a regular snapshot of state-of-the-art work in this important field of epistemology. Topics addressed in Volume 5 include knowledge of abstracta, the nature of evidential support, epistemic and rational norms, fallibilism, closure principles, disagreement, the analysis of knowledge, and a priori justification. Papers make use of a variety different tools and insights, including those of formal epistemology and decision theory, as well as traditional philosophical analysis and argumentation.

Oxford Studies in Metaethics Volume 15

Author : Russ Shafer-Landau
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Oxford Studies in Metaethics is the only publication devoted exclusively to original philosophical work in the foundations of ethics. It provides an annual selection of much of the best new scholarship being done in the field. Its broad purview includes work being done at the intersections of ethical theory with metaphysics, epistemology, philosophy of language, and philosophy of mind. The essays included in the series provide an excellent basis for understanding recent developments in the field; those who would like to acquaint themselves with the current state of play in metaethics would do well to start here.

Oxford Studies in Metaethics Volume 10

Author : Russ Shafer-Landau
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Oxford Studies in Metaethics is the only publication devoted exclusively to original philosophical work in the foundations of ethics. It provides an annual selection of much of the best new scholarship being done in the field. Its broad purview includes work being done at the intersections of ethical theory with metaphysics, epistemology, philosophy of language, and philosophy of mind. The essays included in the series provide an excellent basis for understanding recent developments in the field; those who would like to acquaint themselves with the current state of play in metaethics would do well to start here.

Sailing Routes in the World of Computation

Author : Florin Manea
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This book constitutes the refereed proceedings of the 14th Conference on Computability in Europe, CiE 2018, held in Kiel, Germany, in July/ August 2017. The 26 revised full papers were carefully reviewed and selected from 55 submissions. In addition, this volume includes 15 invited papers. The conference CiE 2018 has six special sessions, namely: Approximation and optimization, Bioinformatics and bio-inspired computing, computing with imperfect information, continuous computation, history and philosophy of computing (celebrating the 80th birthday of Martin Davis), and SAT-solving.

Explanation in Ethics and Mathematics

Author : Uri D. Leibowitz
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How far should our realism extend? For many years philosophers of mathematics and philosophers of ethics have worked independently to address the question of how best to understand the entities apparently referred to by mathematical and ethical talk. But the similarities between their endeavours are not often emphasised. This book provides that emphasis. In particular, it focuses on two types of argumentative strategies that have been deployed in both areas. The first—debunking arguments—aims to put pressure on realism by emphasising the seeming redundancy of mathematical or moral entities when it comes to explaining our judgements. In the moral realm this challenge has been made by Gilbert Harman and Sharon Street; in the mathematical realm it is known as the 'Benacerraf-Field' problem. The second strategy—indispensability arguments—aims to provide support for realism by emphasising the seeming intellectual indispensability of mathematical or moral entities, for example when constructing good explanatory theories. This strategy is associated with Quine and Putnam in mathematics and with Nicholas Sturgeon and David Enoch in ethics. Explanation in Ethics and Mathematics addresses these issues through an explicitly comparative methodology which we call the 'companions in illumination' approach. By considering how argumentative strategies in the philosophy of mathematics might apply to the philosophy of ethics, and vice versa, the papers collected here break new ground in both areas. For good measure, two further companions for illumination are also broached: the philosophy of chance and the philosophy of religion. Collectively, these comparisons light up new questions, arguments, and problems of interest to scholars interested in realism in any area.

pt 1 2 Of general principles and Of truth 5th ed

Author : John Ruskin
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Pt 1 2 of general principles and of truth

Author : John Ruskin
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The Routledge Handbook of Practical Reason

Author : Ruth Chang
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Over the last several decades, questions about practical reason have come to occupy the center stage in ethics and metaethics. The Routledge Handbook of Practical Reason is an outstanding reference source to this exciting and distinctive subject area and is the first volume of its kind. Comprising thirty-six chapters by an international team of contributors, the Handbook provides a comprehensive overview of the field and is divided into five parts: Foundational Matters Practical Reason in the History of Philosophy Philosophy of Practical Reason as Action Theory and Moral Psychology Philosophy of Practical Reason as Theory of Practical Normativity The Philosophy of Practical Reason as the Theory of Practical Rationality The Handbook also includes two chapters by the late Derek Parfit, ‘Objectivism about Reasons’ and ‘Normative Non-Naturalism.’ The Routledge Handbook of Practical Reason is essential reading for philosophy students and researchers in metaethics, philosophy of action, action theory, ethics, and the history of philosophy.

Advances in Experimental Philosophy of Logic and Mathematics

Author : Andrew Aberdein
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This book explores the results of applying empirical methods to the philosophy of logic and mathematics. Much of the work that has earned experimental philosophy a prominent place in twenty-first century philosophy is concerned with ethics or epistemology. But, as this book shows, empirical methods are just as much at home in logic and the philosophy of mathematics. Chapters demonstrate and discuss the applicability of a wide range of empirical methods including experiments, surveys, interviews, and data-mining. Distinct themes emerge that reflect recent developments in the field, such as issues concerning the logic of conditionals and the role played by visual elements in some mathematical proofs. Featuring leading figures from experimental philosophy and the fields of philosophy of logic and mathematics, this collection reveals that empirical work in these disciplines has been quietly thriving for some time and stresses the importance of collaboration between philosophers and researchers in mathematics education and mathematical cognition.

Philosophy and Model Theory

Author : Tim Button
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Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging uses of model theory have created a highly fragmented literature. On the one hand, many philosophically significant results are found only in mathematics textbooks: these are aimed squarely at mathematicians; they typically presuppose that the reader has a serious background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are scattered across disconnected pockets of papers. The first aim of this book, then, is to explore the philosophical uses of model theory, focusing on the central topics of reference, realism, and doxology. Its second aim is to address important questions in the philosophy of model theory, such as: sameness of theories and structure, the boundaries of logic, and the classification of mathematical structures. Philosophy and Model Theory will be accessible to anyone who has completed an introductory logic course. It does not assume that readers have encountered model theory before, but starts right at the beginning, discussing philosophical issues that arise even with conceptually basic model theory. Moreover, the book is largely self-contained: model-theoretic notions are defined as and when they are needed for the philosophical discussion, and many of the most philosophically significant results are given accessible proofs.

Hegel s Concept of God

Author : Quentin Lauer
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Presents the first comprehensive view of Hegel's contribution to the God-question.

Philosophical Approaches to the Foundations of Logic and Mathematics

Author : Marcin Trepczyński
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Philosophical Approaches to the Foundations of Logic and Mathematics consists of eleven articles addressing various aspects of the "roots" of logic and mathematics, their basic concepts and the mechanisms that work in the practice of their use.

pt I Of genral principles pt II Of truth v 4 pt v Of mountain beauty

Author : John Ruskin
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Truth and Truthmakers

Author : D. M. Armstrong
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This book, first published in 2004, makes a compelling case for truthmaking and its importance in philosophy.

Empirically Engaged Evolutionary Ethics

Author : Johan De Smedt
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The Cambridge Handbook of Evolutionary Ethics

Author : Michael Ruse
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Evolutionary ethics - the application of evolutionary ideas to moral thinking and justification - began in the nineteenth century with the work of Charles Darwin and Herbert Spencer, but was subsequently criticized as an example of the naturalistic fallacy. In recent decades, however, evolutionary ethics has found new support among both the Darwinian and the Spencerian traditions. This accessible volume looks at the history of thought about evolutionary ethics as well as current debates in the subject, examining first the claims of supporters and then the responses of their critics. Topics covered include social Darwinism, moral realism, and debunking arguments. Clearly written and structured, the book guides readers through the arguments on both sides, and emphasises the continuing relevance of evolutionary theory to our understanding of ethics today.

Naturalizing Logico Mathematical Knowledge

Author : Sorin Bangu
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This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science? The question about this distinctive kind of knowledge is rooted in Plato’s dialogues, and virtually all major philosophers have expressed interest in it. The essays in this collection tackle this important philosophical query from the perspective of the modern sciences of cognition, namely cognitive psychology and neuroscience. Naturalizing Logico-Mathematical Knowledge contributes to consolidating a new, emerging direction in the philosophy of mathematics, which, while keeping the traditional concerns of this sub-discipline in sight, aims to engage with them in a scientifically-informed manner. A subsequent aim is to signal the philosophers’ willingness to enter into a fruitful dialogue with the community of cognitive scientists and psychologists by examining their methods and interpretive strategies.