Benacerraf and his Critics PDF Download

Author: Adam Morton
Publisher: Wiley-Blackwell
ISBN: 9780631192688
Category : Science
Languages : en
Pages : 288

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Book Description
This volume contains ten original essays discussing Benacerrafian themes within and outside the philosophy of mathematics and a new essay "What mathematical truth could not be" by Benacerraf himself.

Author: Fabrice Pataut
Publisher: Springer
ISBN: 3319459805
Category : Philosophy
Languages : en
Pages : 309

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Book Description
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 Two yet unpublished essays by Benacerraf have been included in the volume: an early version of “Mathematical Truth” from 1968 and an essay on “What Numbers Could Not Be” from the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.

Author: Robert Hanna
Publisher: OUP Oxford
ISBN: 0191025593
Category : Philosophy
Languages : en
Pages : 464

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Book Description
In Cognition, Content, and the A Priori, Robert Hanna works out a unified contemporary Kantian theory of rational human cognition and knowledge. Along the way, he provides accounts of (i) intentionality and its contents, including non-conceptual content and conceptual content, (ii) sense perception and perceptual knowledge, including perceptual self-knowledge, (iii) the analytic-synthetic distinction, (iv) the nature of logic, and (v) a priori truth and knowledge in mathematics, logic, and philosophy. This book is specifically intended to reach out to two very different audiences: contemporary analytic philosophers of mind and knowledge on the one hand, and contemporary Kantian philosophers or Kant-scholars on the other. At the same time, it is also riding the crest of a wave of exciting and even revolutionary emerging new trends and new work in the philosophy of mind and epistemology, with a special concentration on the philosophy of perception. What is revolutionary in this new wave are its strong emphases on action, on cognitive phenomenology, on disjunctivist direct realism, on embodiment, and on sense perception as a primitive and proto-rational capacity for cognizing the world. Cognition, Content, and the A Priori makes a fundamental contribution to this philosophical revolution by giving it a specifically contemporary Kantian twist, and by pushing these new lines of investigation radically further.

Author: Jerrold J. Katz
Publisher: MIT Press
ISBN: 9780262263290
Category : Philosophy
Languages : en
Pages : 268

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Book Description
Jerrold Katz develops a new philosophical position integrating realism and rationalism. In Realistic Rationalism, Jerrold J. Katz develops a new philosophical position integrating realism and rationalism. Realism here means that the objects of study in mathematics and other formal sciences are abstract; rationalism means that our knowledge of them is not empirical. Katz uses this position to meet the principal challenges to realism. In exposing the flaws in criticisms of the antirealists, he shows that realists can explain knowledge of abstract objects without supposing we have causal contact with them, that numbers are determinate objects, and that the standard counterexamples to the abstract/concrete distinction have no force. Generalizing the account of knowledge used to meet the challenges to realism, he develops a rationalist and non-naturalist account of philosophical knowledge and argues that it is preferable to contemporary naturalist and empiricist accounts. The book illuminates a wide range of philosophical issues, including the nature of necessity, the distinction between the formal and natural sciences, empiricist holism, the structure of ontology, and philosophical skepticism. Philosophers will use this fresh treatment of realism and rationalism as a starting point for new directions in their own research.

Author: R. Baiasu
Publisher: Springer
ISBN: 0230358918
Category : Philosophy
Languages : en
Pages : 300

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Book Description
Responding to growing interest in the Kantian tradition and in issues concerning space and time, this volume offers an insightful and original contribution to the literature by bringing together analytical and phenomenological approaches in a productive exchange on topical issues such as action, perception, the body, and cognition and its limits.

Author: Wenceslao J. González
Publisher: Netbiblo
ISBN: 9780972989237
Category : Science
Languages : en
Pages : 288

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Book Description
Nowadays, philosophy and methodology of science appear as a combination of novelty and continuity. This blend is clear both in the general approaches to science (those thought of as any science) and in the specific perspectives on every science, either formal or empirical. There are new topics for philosophical reflection, such as key issues in philosophy of medicine and central problems raised by neuroscience. Thus, new contents have brought attention to aspects that previously went almost unnoticed. In addition, there are new angles for philosophical study, such as the repercussion of society on scientific activity (in aims, processes, and results). But the background of the main philosophical and methodological trends of the twentieth century is, in many ways, still in place.

Author: Pamela R. Cook
Publisher: Cambridge Scholars Publishing
ISBN: 152753958X
Category : Psychology
Languages : en
Pages : 415

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Book Description
This third volume of Discovering New Educational Trends is a textbook of articles and narratives exclusively written to encourage and assist a variety of educational professionals in the disciplines of education, health, philosophy and psychology. It also touches on areas of global awareness, humanities and multicultural studies in the social sciences. The material and information provided in this text will provide an excellent resource textbook for university coursework and a supplemental reading tool for journal reviews and other assignments. It has been specifically designed for educators, principals, school administrators, nutritionists, speech pathologists, psychologists, students, teachers and other college and university personnel within a variety of diverse disciplines.

Author: Russell Marcus
Publisher: Bloomsbury Publishing
ISBN: 1472532910
Category : Philosophy
Languages : en
Pages : 896

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Book Description
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.

Author: M. Panza
Publisher: Springer
ISBN: 1137298138
Category : Mathematics
Languages : en
Pages : 289

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Book Description
What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism.

Author: Alan Berger
Publisher: Cambridge University Press
ISBN: 113950066X
Category : Philosophy
Languages : en
Pages : 383

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Book Description
This collection of essays on Saul Kripke and his philosophy is the first and only collection of essays to examine both published and unpublished writings by Kripke. Its essays, written by distinguished philosophers in the field, present a broader picture of Kripke's life and work than has previously been available to scholars of his thought. New topics covered in these essays include vacuous names and names in fiction, Kripke on logicism and de re attitude toward numbers, Kripke on the incoherency of adopting a logic, Kripke on colour words and his criticism of the primary versus secondary quality distinction, and Kripke's critique of functionalism. These essays not only present Kripke's basic arguments but also engage with the arguments and controversies engendered by his work, providing the most comprehensive analysis of his philosophy and writings available. This collection will become a classic in contemporary analytic philosophy.