An Introduction To The Syllogism And The Logic Of Proportional Quantifiers
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An Introduction To The Syllogism And The Logic Of Proportional Quantifiers
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Author : Bruce E. R. Thompson
language : en
Publisher: Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
Release Date : 1992
An Introduction To The Syllogism And The Logic Of Proportional Quantifiers written by Bruce E. R. Thompson and has been published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Grammar, Comparative and general categories.
Syllogisms are the oldest and most carefully studied logical forms. This book attempts to convey some sense of the tradition in which syllogistic logic has developed; but the book also goes well beyond the classical theory. Rather than limiting syllogistic logic to the quantifiers 'all' and 'some', this book begins with an expanded group of ordinary language quantifiers, including 'few', 'most', and 'many', and ends with a full range of proportional quantifiers, such as '23% of' and 'more than 98% of'. The book gives a point by point explanation of syllogistic logic, directed primarily at beginners, but offering material that will be new and interesting even to advanced scholars.
Intermediate Quantities
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Author : Philip L. Peterson
language : en
Publisher: Ashgate Publishing
Release Date : 2000
Intermediate Quantities written by Philip L. Peterson and has been published by Ashgate Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Language Arts & Disciplines categories.
Intermediate Quantitifiers presents and analyzes the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic. Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - the universal and the particular. This book is the first to use traditional methods to integrate the logic and semantics of intermediate quantifiers with the two traditional quantities. Few, many and most express the most commonly referred to intermediate quantities, yet in this book Peterson argues that an infinite number of additional quantities can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Drawing on the work of Robert Carnes and taking a critical look at James McCawley's grammatical analysis, Peterson concludes that a new approach to foundations of mathematics based on the syllogistic logic of quantifiers is possible.Offering invaluable insights for those studying across areas of logic, linguistics, and the philosophy or semantics of natural language, this book presents the completion of an explanation for extending traditional syllogistic logic to handle intermediate quantifiers.
Figuring It Out
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Author : George Englebretsen
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-11-18
Figuring It Out written by George Englebretsen and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-18 with Philosophy categories.
The book begins with an extensive survey of the history of logic diagrams, including looking at possible diagrams from Aristotle, the development of both linear and closed figure diagrams by Leibniz, Lambert, Euler, Venn’s new system, Peirce’s Existential Graphs, and Frege’s two-dimensional notation as a kind of logic diagram system. During most of the 20th century, there was little regard for efforts to construct logic diagrams. However, since the 1980s there has been an increasing interest in such diagrams. Ever larger numbers of philosophers, logicians, mathematicians, computational scientists, and cognitive scientists have turned their attention to building, analyzing, using, or exploring in other ways systems of logic diagrams. The system offered here makes use of line segments and points and it enjoys a number of important advantages: it is simple, natural, and both expressively and inferentially powerful. It can be used to analyze syllogisms (including those involving relational terms) and arguments involving unanalyzed statements. Understanding such a system can shed valuable light on how ordinary people naturally reason.
Something To Reckon With
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Author : George Englebretsen
language : en
Publisher: University of Ottawa Press
Release Date : 1996
Something To Reckon With written by George Englebretsen and has been published by University of Ottawa Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Philosophy categories.
By delving into the history and development of logic from its beginnings to the modern era, George Englebretsen rehabilitates term logic and demonstrates that an enhanced traditional logic remains a viable possibility. Taking inspiration from Fred Sommers' work, he creates an updated and fascinating version of term logic; one he believes to be just as legitimate as, and in ways superior to, the currently predominant mathematical logic.
Dictionary Of World Philosophy
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Author : A. Pablo Iannone
language : en
Publisher: Routledge
Release Date : 2013-04-15
Dictionary Of World Philosophy written by A. Pablo Iannone and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Philosophy categories.
The Dictionary of World Philosophy covers the diverse and challenging terminology, concepts, schools and traditions of the vast field of world philosophy. Providing an extremely comprehensive resource and an essential point of reference in a complex and expanding field of study the Dictionary covers all major subfields of the discipline. Key features: * Cross-references are used to highlight interconnections and the cross-cultural diffusion and adaptation of terms which has taken place over time * The user is led from specific terms to master entries which provide valuable historical and cultural context * Each master entry is followed by at least two suggestions for further reading on the subject, creating a substantial bibliography of world philosophy * References extend beyond philosophy to related areas such as cognitive science, computer science, language and physics Subdisciplines covered include:* aesthetics * ethics * sociopolitical philosophy * the philosophy of law * epistemology * logic * the philosophy of science * the philosophy of mind * the philosophy of culture and history * metaphysics * the philosophy of religion Entries are drawn from West Africa, Arabic, Chinese, Indian, Japanese, Jewish, Korean, Latin American, Maori and Native American philosophy including the important and so far largely neglected instance of Pre-Hispanic thought: Nahua philosophy.
Syllogistic Logic And The Grammar Of Some English Quantifiers
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Author : Philip L. Peterson
language : en
Publisher:
Release Date : 1988
Syllogistic Logic And The Grammar Of Some English Quantifiers written by Philip L. Peterson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with English language categories.
Quantifiers In Language And Logic
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Author : Stanley Peters
language : en
Publisher: Oxford University Press
Release Date : 2006-04-27
Quantifiers In Language And Logic written by Stanley Peters 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 2006-04-27 with Language Arts & Disciplines categories.
Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, and many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.Quantifiers in Language and Logic is intended for everyone with a scholarly interest in the exact treatment of meaning. It presents a broad view of the semantics and logic of quantifier expressions in natural languages and, to a slightly lesser extent, in logical languages. The authors progress carefully from a fairly elementary level to considerable depth over the course of sixteen chapters; their book will be invaluable to a broad spectrum of readers, from those with a basicknowledge of linguistic semantics and of first-order logic to those with advanced knowledge of semantics, logic, philosophy of language, and knowledge representation in artificial intelligence.
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Author :
language : en
Publisher: Greenhaven Publishing
Release Date :
written by and has been published by Greenhaven Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Diagrammatic Representation And Inference
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Author : Mateja Jamnik
language : en
Publisher: Springer
Release Date : 2016-07-25
Diagrammatic Representation And Inference written by Mateja Jamnik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-25 with Computers categories.
This book constitutes the refereed proceedings of the 9th InternationalConference on the Theory and Application of Diagrams, Diagrams 2016,held in Philadelphia, PA, USA, in August 2016. The 12 revised full papers and 11 short papers presented together with 5 posters were carefully reviewed and selected from 48 submissions. The papers are organized in the following topical sections: cognitive aspects of diagrams; logic and diagrams; Euler and Venn diagrams; diagrams and education; design principles for diagrams; diagrams layout.
Intermediate Quantities
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Author : Philip Peterson
language : en
Publisher: Routledge
Release Date : 2020-07-24
Intermediate Quantities written by Philip Peterson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Language Arts & Disciplines categories.
This title was first published in 2000: Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.