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Author: C. Cheyne
Publisher: Springer Science & Business Media
ISBN: 9401597472
Category : Philosophy
Languages : en
Pages : 254
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Book Description
According to platonists, entities such as numbers, sets, propositions and properties are abstract objects. But abstract objects lack causal powers and a location in space and time, so how could we ever come to know of the existence of such impotent and remote objects? In Knowledge, Cause, and Abstract Objects, Colin Cheyne presents the first systematic and detailed account of this epistemological objection to the platonist doctrine that abstract objects exist and can be known. Since mathematics has such a central role in the acquisition of scientific knowledge, he concentrates on mathematical platonism. He also concentrates on our knowledge of what exists, and argues for a causal constraint on such existential knowledge. Finally, he exposes the weaknesses of recent attempts by platonists to account for our supposed platonic knowledge. This book will be of particular interest to researchers and advanced students of epistemology and of the philosophy of mathematics and science. It will also be of interest to all philosophers with a general interest in metaphysics and ontology.
Author: C. Cheyne
Publisher: Springer Science & Business Media
ISBN: 9401597472
Category : Philosophy
Languages : en
Pages : 254
Get Book
Book Description
According to platonists, entities such as numbers, sets, propositions and properties are abstract objects. But abstract objects lack causal powers and a location in space and time, so how could we ever come to know of the existence of such impotent and remote objects? In Knowledge, Cause, and Abstract Objects, Colin Cheyne presents the first systematic and detailed account of this epistemological objection to the platonist doctrine that abstract objects exist and can be known. Since mathematics has such a central role in the acquisition of scientific knowledge, he concentrates on mathematical platonism. He also concentrates on our knowledge of what exists, and argues for a causal constraint on such existential knowledge. Finally, he exposes the weaknesses of recent attempts by platonists to account for our supposed platonic knowledge. This book will be of particular interest to researchers and advanced students of epistemology and of the philosophy of mathematics and science. It will also be of interest to all philosophers with a general interest in metaphysics and ontology.
Author: C. Cheyne
Publisher:
ISBN: 9789401597487
Category :
Languages : en
Pages : 264
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Book Description
Author: William Lane Craig
Publisher: Springer
ISBN: 3319553844
Category : Philosophy
Languages : en
Pages : 540
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Book Description
This book is an exploration and defense of the coherence of classical theism’s doctrine of divine aseity in the face of the challenge posed by Platonism with respect to abstract objects. A synoptic work in analytic philosophy of religion, the book engages discussions in philosophy of mathematics, philosophy of language, metaphysics, and metaontology. It addresses absolute creationism, non-Platonic realism, fictionalism, neutralism, and alternative logics and semantics, among other topics. The book offers a helpful taxonomy of the wide range of options available to the classical theist for dealing with the challenge of Platonism. It probes in detail the diverse views on the reality of abstract objects and their compatibility with classical theism. It contains a most thorough discussion, rooted in careful exegesis, of the biblical and patristic basis of the doctrine of divine aseity. Finally, it challenges the influential Quinean metaontological theses concerning the way in which we make ontological commitments.
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: Mary Leng
Publisher: Oxford University Press
ISBN: 0199228248
Category : Mathematics
Languages : en
Pages : 199
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Book Description
What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.
Author: J. P. Moreland
Publisher: InterVarsity Press
ISBN: 0830876499
Category : Religion
Languages : en
Pages : 673
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Book Description
Winner of a 2004 ECPA Gold Medallion Award! Winner of an Award of Excellence in the 2003 Chicago Book Clinic! What is real? What is truth? What can we know? What should we believe? What should we do and why? Is there a God? Can we know him? Do Christian doctrines make sense? Can we believe in God in the face of evil? These are fundamental questions that any thinking person wants answers to. These are questions that philosophy addresses. And the answers we give to these kinds of questions serve as the the foundation stones for consrtucting any kind of worldview. In Philosophical Foundations for a Christian Worldview J.P. Moreland and William Lane Craig offer a comprehensive introduction to philosophy from a Christian perspective. In their broad sweep they seek to introduce readers to the principal subdisciplines of philosophy, including epistemology, metaphysics, philosophy of science, ethics and philosophy of religion. They do so with characteristic clarity and incisiveness. Arguments are clearly outlined, and rival theories are presented with fairness and accuracy. Philosophy, they contend, aids Christians in the tasks of apologetics, polemics and systematic theology. It reflects our having been made in the image of God, helps us to extend biblical teaching into areas not expressly addressed in Scripture, facilitates the spiritual discipline of study, enhances the boldness and self-image of the Christian community, and is requisite to the essential task of integrating faith and learning. Here is a lively and thorough introduction to philosophy for all who want to know reality.
Author: Tamar Gendler
Publisher: Oxford University Press
ISBN: 0198722761
Category : Philosophy
Languages : en
Pages : 337
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Book Description
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
Author: Colin McGinn
Publisher: Clarendon Press
ISBN: 0191519375
Category : Philosophy
Languages : en
Pages : 340
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Book Description
Knowledge and Reality brings together a selection of Colin McGinn's philosophical essays from the 1970s to the 1990s, whose unifying theme is the relation between the mind and the world. The essays range over a set of prominent topics in contemporary philosophy, including the analysis of knowledge, the a priori, necessity, possible worlds, realism, mental representation, appearance and reality, and colour. McGinn has written a new postscript to each essay, placing it in its philosophical context by sketching the background against which it was written, explaining its relations to other notable work, and offering his current reflections on the topic. The volume thus traces the development of McGinn's ideas and their role in some central philosophical debates. Seen together the essays offer a many-sided defence of realism, while emphasizing the epistemological price that realism exacts.
Author: Peter Coffey
Publisher:
ISBN:
Category : Knowledge, Theory of
Languages : en
Pages : 398
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Book Description
Author: James Maclaurin
Publisher: Springer Science & Business Media
ISBN: 9400739834
Category : Science
Languages : en
Pages : 305
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Book Description
Rationis Defensor is to be a volume of previously unpublished essays celebrating the life and work of Colin Cheyne. Colin was until recently Head of the Department of Philosophy at the University of Otago, a department that can boast of many famous philosophers among its past and present faculty and which has twice been judged as the strongest research department across all disciplines in governmental research assessments. Colin is the immediate past President of the Australasian Association for Philosophy (New Zealand Division). He is the author of Knowledge, Cause, and Abstract Objects: Causal Objections to Platonism (Springer, 2001) and the editor, with Vladimir Svoboda and Bjorn Jespersen, of Pavel Tichy’s Collected Papers in Logic and Philosophy (University of Otago Press, 2005) and, with John Worrall, of Rationality and Reality: Conversations with Alan Musgrave (Springer, 2006). This volume celebrates the dedication to rational enquiry and the philosophical style of Colin Cheyne. It also celebrates the distinctive brand of naturalistic philosophy for which Otago has become known. Contributors to the volume include a wide variety of philosophers, all with a personal connection to Colin, and all of whom are, in their own way, defenders of rationality.
