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"This book provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. Its fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic"--
Book Synopsis The Logic of Entailment and Its History by : Edwin David Mares
Download or read book The Logic of Entailment and Its History written by Edwin David Mares and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. Its fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic"--
What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.
Book Synopsis The Logic of Entailment and its History by : Edwin Mares
Download or read book The Logic of Entailment and its History written by Edwin Mares and published by Cambridge University Press. This book was released on 2024-01-31 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.
This book introduces the reader to relevant logic and provides it with a philosophical interpretation. The defining feature of relevant logic is that it forces the premises of an argument to be really used ('relevant') in deriving its conclusion. The logic is placed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles (especially implication and negation) and natural language conditionals. The book ends by examining various applications of relevant logic and presenting some interesting open problems.
Book Synopsis Relevant Logic by : Edwin D. Mares
Download or read book Relevant Logic written by Edwin D. Mares and published by Cambridge University Press. This book was released on 2004-02-26 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to relevant logic and provides it with a philosophical interpretation. The defining feature of relevant logic is that it forces the premises of an argument to be really used ('relevant') in deriving its conclusion. The logic is placed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles (especially implication and negation) and natural language conditionals. The book ends by examining various applications of relevant logic and presenting some interesting open problems.
Download or read book Entailment written by Alan Ross Anderson and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
In this book the author provides a key to understanding the role of covering laws in historical explanation. He does so by distinguishing between their use at the macro - and micro- levels, a distinction that no other scholar has made. He then sets forth the logic of an explanatory narrative, explores the nature of rational explanation, and distinguishes the logic of historical interpretation from the logic of historical explanation.
Book Synopsis Logic of Historical Explanation by : Clayton Roberts
Download or read book Logic of Historical Explanation written by Clayton Roberts and published by Penn State Press. This book was released on 2010-11-01 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author provides a key to understanding the role of covering laws in historical explanation. He does so by distinguishing between their use at the macro - and micro- levels, a distinction that no other scholar has made. He then sets forth the logic of an explanatory narrative, explores the nature of rational explanation, and distinguishes the logic of historical interpretation from the logic of historical explanation.
In spite of a powerful tradition, more than two thousand years old, that in a valid argument the premises must be relevant to the conclusion, twentieth-century logicians neglected the concept of relevance until the publication of Volume I of this monumental work. Since that time relevance logic has achieved an important place in the field of philosophy: Volume II of Entailment brings to a conclusion a powerful and authoritative presentation of the subject by most of the top people working in the area. Originally the aim of Volume II was simply to cover certain topics not treated in the first volume--quantification, for example--or to extend the coverage of certain topics, such as semantics. However, because of the technical progress that has occurred since the publication of the first volume, Volume II now includes other material. The book contains the work of Alasdair Urquhart, who has shown that the principal sentential systems of relevance logic are undecidable, and of Kit Fine, who has demonstrated that, although the first-order systems are incomplete with respect to the conjectured constant domain semantics, they are still complete with respect to a semantics based on "arbitrary objects." Also presented is important work by the other contributing authors, who are Daniel Cohen, Steven Giambrone, Dorothy L. Grover, Anil Gupta, Glen Helman, Errol P. Martin, Michael A. McRobbie, and Stuart Shapiro. Robert G. Wolf's bibliography of 3000 items is a valuable addition to the volume. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Entailment, Vol. II by : Alan Ross Anderson
Download or read book Entailment, Vol. II written by Alan Ross Anderson and published by Princeton University Press. This book was released on 2017-03-14 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: In spite of a powerful tradition, more than two thousand years old, that in a valid argument the premises must be relevant to the conclusion, twentieth-century logicians neglected the concept of relevance until the publication of Volume I of this monumental work. Since that time relevance logic has achieved an important place in the field of philosophy: Volume II of Entailment brings to a conclusion a powerful and authoritative presentation of the subject by most of the top people working in the area. Originally the aim of Volume II was simply to cover certain topics not treated in the first volume--quantification, for example--or to extend the coverage of certain topics, such as semantics. However, because of the technical progress that has occurred since the publication of the first volume, Volume II now includes other material. The book contains the work of Alasdair Urquhart, who has shown that the principal sentential systems of relevance logic are undecidable, and of Kit Fine, who has demonstrated that, although the first-order systems are incomplete with respect to the conjectured constant domain semantics, they are still complete with respect to a semantics based on "arbitrary objects." Also presented is important work by the other contributing authors, who are Daniel Cohen, Steven Giambrone, Dorothy L. Grover, Anil Gupta, Glen Helman, Errol P. Martin, Michael A. McRobbie, and Stuart Shapiro. Robert G. Wolf's bibliography of 3000 items is a valuable addition to the volume. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.
Book Synopsis Paradoxes and Inconsistent Mathematics by : Zach Weber
Download or read book Paradoxes and Inconsistent Mathematics written by Zach Weber and published by Cambridge University Press. This book was released on 2021-10-21 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.
In a provocative analysis of European and American historical thinking and practice since the early 18th century, A History of History confronts several basic assumptions about the nature of history. Among these are the concept of historical realism, the belief in representationalism and the idea that the past possesses its own narrative. What is offered in this book is a far-reaching and fundamental rethinking of realist and representationalist ‘history of a particular kind’ by addressing and explaining the ideas of major philosophers of history over the past three hundred years and those of the key theorists of today. In pursuing this radical analysis, the understanding of history as a narrative is evaluated along with contemporary notions such as the continuing presence of the past and the idea of ‘its lessons’. Written by one of the leading thinkers on the subject, A History of History provides an accessible and radical history of history while offering new insights into the pressing questions of the nature, purpose and function of history. This book is an essential text for all students, teachers and consumers of history.
Book Synopsis A History of History by : Alun Munslow
Download or read book A History of History written by Alun Munslow and published by Routledge. This book was released on 2012-12-20 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a provocative analysis of European and American historical thinking and practice since the early 18th century, A History of History confronts several basic assumptions about the nature of history. Among these are the concept of historical realism, the belief in representationalism and the idea that the past possesses its own narrative. What is offered in this book is a far-reaching and fundamental rethinking of realist and representationalist ‘history of a particular kind’ by addressing and explaining the ideas of major philosophers of history over the past three hundred years and those of the key theorists of today. In pursuing this radical analysis, the understanding of history as a narrative is evaluated along with contemporary notions such as the continuing presence of the past and the idea of ‘its lessons’. Written by one of the leading thinkers on the subject, A History of History provides an accessible and radical history of history while offering new insights into the pressing questions of the nature, purpose and function of history. This book is an essential text for all students, teachers and consumers of history.
Does thinking have a history? If there are no necessarily changeless structures to be found in things and in our inquiry into them, then what knowledge of the world and ourselves is possible? In this boldly original and elegantly written study, Joseph Margolis argues for a radically historicized view of history that treats it as both a real process and a narrative account, each a product of continual change. Developing his argument through discussions of such influential philosophers of history and the natural sciences as Vico, Danto, Collingwood, Habermas, Hempel, Popper, Putnam, and Gadamer, he provides a coherent theory of flux and invariance that resolves several deep puzzles regarding human nature and understanding. While maintaining a thorough command of Anglo-American philosophy, Margolis challenges many of its most cherished assumptions and demonstrates the sense in which history and interpretation are one and the same. Exploring one of the master themes of this century, his book offers a novel theory of the human condition whose conclusions and concerns seem certain to inform philosophy in the next century as well. Does thinking have a history? If there are no necessarily changeless structures to be found in things and in our inquiry into them, then what knowledge of the world and ourselves is possible? In this boldly original and elegantly written study, Joseph Margolis argues for a radically historicized view of history that treats it as both a real process and a narrative account, each a product of continual change. Developing his argument through discussions of such influential philosophers of history and the natural sciences as Vico, Danto, Collingwood, Habermas, Hempel, Popper, Putnam, and Gadamer, he provides a coherent theory of flux and invariance that resolves several deep puzzles regarding human nature and understanding. While maintaining a thorough command of Anglo-American philosophy, Margolis challenges many of its most cherished assumptions and demonstrates the sense in which history and interpretation are one and the same. Exploring one of the master themes of this century, his book offers a novel theory of the human condition whose conclusions and concerns seem certain to inform philosophy in the next century as well.
Book Synopsis The Flux of History and the Flux of Science by : Joseph Margolis
Download or read book The Flux of History and the Flux of Science written by Joseph Margolis and published by Univ of California Press. This book was released on 1993-01-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does thinking have a history? If there are no necessarily changeless structures to be found in things and in our inquiry into them, then what knowledge of the world and ourselves is possible? In this boldly original and elegantly written study, Joseph Margolis argues for a radically historicized view of history that treats it as both a real process and a narrative account, each a product of continual change. Developing his argument through discussions of such influential philosophers of history and the natural sciences as Vico, Danto, Collingwood, Habermas, Hempel, Popper, Putnam, and Gadamer, he provides a coherent theory of flux and invariance that resolves several deep puzzles regarding human nature and understanding. While maintaining a thorough command of Anglo-American philosophy, Margolis challenges many of its most cherished assumptions and demonstrates the sense in which history and interpretation are one and the same. Exploring one of the master themes of this century, his book offers a novel theory of the human condition whose conclusions and concerns seem certain to inform philosophy in the next century as well. Does thinking have a history? If there are no necessarily changeless structures to be found in things and in our inquiry into them, then what knowledge of the world and ourselves is possible? In this boldly original and elegantly written study, Joseph Margolis argues for a radically historicized view of history that treats it as both a real process and a narrative account, each a product of continual change. Developing his argument through discussions of such influential philosophers of history and the natural sciences as Vico, Danto, Collingwood, Habermas, Hempel, Popper, Putnam, and Gadamer, he provides a coherent theory of flux and invariance that resolves several deep puzzles regarding human nature and understanding. While maintaining a thorough command of Anglo-American philosophy, Margolis challenges many of its most cherished assumptions and demonstrates the sense in which history and interpretation are one and the same. Exploring one of the master themes of this century, his book offers a novel theory of the human condition whose conclusions and concerns seem certain to inform philosophy in the next century as well.
Philosopher James R. Peters defends the reasonableness of the Christian faith in The Logic of the Heart. He paves a middle road between the Enlightenment's worship of reason and postmodernism's emphasis on freedom and self-rule. He delves into the thought of theologian St. Augustine and philosopher-mathematician Blaise Pascal and engages the skeptic David Hume, who argued against the possibility of miracles. Throughout this process, Peters provides an alternative to postmodern thought as well as the widespread New Atheism. This work is appropriate for undergraduate and graduate students pursuing studies in philosophy of religion and historical theology. Since Peters writes in nontechnical language, readers interested in the relationship between faith and reason will also benefit from The Logic of the Heart.
Book Synopsis The Logic of the Heart by : James R. Peters
Download or read book The Logic of the Heart written by James R. Peters and published by Baker Academic. This book was released on 2009-03-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosopher James R. Peters defends the reasonableness of the Christian faith in The Logic of the Heart. He paves a middle road between the Enlightenment's worship of reason and postmodernism's emphasis on freedom and self-rule. He delves into the thought of theologian St. Augustine and philosopher-mathematician Blaise Pascal and engages the skeptic David Hume, who argued against the possibility of miracles. Throughout this process, Peters provides an alternative to postmodern thought as well as the widespread New Atheism. This work is appropriate for undergraduate and graduate students pursuing studies in philosophy of religion and historical theology. Since Peters writes in nontechnical language, readers interested in the relationship between faith and reason will also benefit from The Logic of the Heart.
