Author: Bruce E. R. Thompson Publisher: Peter Lang Incorporated, International Academic Publishers ISBN: Category : Language Arts & Disciplines Languages : en Pages : 268
Book Description
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.
Author: Publisher: Greenhaven Publishing ISBN: Category : Languages : en Pages :
Author: George Englebretsen Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110621843 Category : Philosophy Languages : en Pages : 240
Book Description
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.
Author: George Englebretsen Publisher: University of Ottawa Press ISBN: 0776616927 Category : Philosophy Languages : en Pages : 298
Book Description
By delving into the history and envelopment 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.
Author: Augustus De Morgan Publisher: Routledge ISBN: 0429514824 Category : Philosophy Languages : en Pages : 386
Book Description
Originally published in 1966 On the Syllogism and Other Logical Writings assembles for the first time the five celebrated memoirs of Augustus De Morgan on the syllogism. These are collected together with the more condensed accounts of his researches given in his Syllabus of a Proposed System of Logic an article on Logic contributed to the English Cyclopaedia. De Morgan was among the most distinguished of nineteenth century British mathematicians but is chiefly remembered today as one of the founders of modern mathematical logic. His writings on this subject have been little read, however since apart from his Formal Logic, they lie buried for the most part in inaccessible periodicals. De Morgan’s own later amendments are inserted in the text and the editorial introduction gives a summary of the whole and traces in some detail the course of the once-famous feud with Sir William Hamilton of Edinburgh.
Author: Gregory Bergman Publisher: Simon and Schuster ISBN: 1440517886 Category : Language Arts & Disciplines Languages : en Pages : 205
Book Description
If you love words, you’ll love -iSMs! There are words—and then there are -ISMs. More than just expressions with a wacky suffix, -ISMs are the eccentric geniuses of the English language. From esoteric philosophies and arcane religions to avant-garde artistic movements and kinky sexual practices, -ISMs describe our highest forms of human thought and endeavor—and our very lowest. In this engaging and enlightening book, you’ll explore more than 200 of the most interesting, mysterious, and obscure -ISMs, discovering the true meaning of these intriguing words as well as the often bizarre etymologies, mythologies, and the common and not-so-common usage behind them. With -ISMs as your guide, you’ll be the most sophisticated wordsmith since Yogi Berra.
Author: Mateja Jamnik Publisher: Springer ISBN: 3319423339 Category : Computers Languages : en Pages : 306
Book Description
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.
Author: Ahti-Veikko Pietarinen Publisher: Springer Nature ISBN: 3030542491 Category : Computers Languages : en Pages : 557
Book Description
This book constitutes the refereed proceedings of the 11th International Conference on the Theory and Application of Diagrams, Diagrams 2020, held in Tallinn, Estonia, in August 2020.* The 20 full papers and 16 short papers presented together with 18 posters were carefully reviewed and selected from 82 submissions. The papers are organized in the following topical sections: diagrams in mathematics; diagram design, principles, and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; logic and diagrams; and posters. *The conference was held virtually due to the COVID-19 pandemic. The chapters ‘Modality and Uncertainty in Data Visualization: A Corpus Approach to the Use of Connecting Lines,’ ‘On Effects of Changing Multi-Attribute Table Design on Decision Making: An Eye Tracking Study,’ ‘Truth Graph: A Novel Method for Minimizing Boolean Algebra Expressions by Using Graphs,’ ‘The DNA Framework of Visualization’ and ‘Visualizing Curricula’ are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Author: Philip Peterson Publisher: Routledge ISBN: 1000114090 Category : Language Arts & Disciplines Languages : en Pages : 294
Book Description
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.
Author: Bruce E. R. Thompson
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Author: George Englebretsen
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Author: George Englebretsen
Author: Augustus De Morgan
Author: Gregory Bergman
Author: Mateja Jamnik
Author: Ahti-Veikko Pietarinen
Author: Philip Peterson