Author: Philip L. PetersonPublisher:
ISBN:
Category : English language
Languages : en
Pages : 70
Book Description
Syllogistic Logic and the Grammar of Some English Quantifiers
Author: Philip L. PetersonPublisher:
ISBN:
Category : English language
Languages : en
Pages : 70
Book Description
Intermediate Quantities
Author: Philip PetersonPublisher: 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.
An Introduction to the Syllogism and the Logic of Proportional Quantifiers
Author: Bruce E. R. ThompsonPublisher: 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.
Intermediate Quantities
Author: Philip PetersonPublisher: Routledge
ISBN: 1000160440
Category : Social Science
Languages : en
Pages : 270
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.
Quantifiers in Language and Logic
Author: Stanley PetersPublisher: OUP Oxford
ISBN: 0191516236
Category : Philosophy
Languages : en
Pages : 550
Book Description
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, many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.
Figuring It Out
Author: George EnglebretsenPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110624451
Category : Philosophy
Languages : en
Pages : 234
Book Description
Many systems of logic diagrams have been offered both historically and more recently. Each of them has clear limitations. An original alternative system is offered here. It is simpler, more natural, and more expressively and inferentially powerful. It can be used to analyze not only syllogisms but arguments involving relational terms and unanalyzed statement terms.
The New Syllogistic
Author: George EnglebretsenPublisher: Peter Lang Incorporated, International Academic Publishers
ISBN:
Category : Philosophy
Languages : en
Pages : 344
Book Description
During the last two decades, Fred Sommers has succeded in building a system of logic based on a traditional view of logical syntax. This logic and the algorithm devised for it pose a significant challenge to the established dominant views of Fregean logic. This collection consists of fourteen essays by Sommers, his defenders, and his critics. These essays present the elements of Sommers' «new syllogistic, » explore some of its historical antecedents, examine many of its features in light of the now standard logic, and open new avenues of research by way of extending or modifying many of Sommers' original ideas on syntax, semantics, pronominalization, and truth.
Logical Aspects of Quantification in Natural Language
Author: Aleksy MolczanowPublisher: Unlimited Publishing LLC
ISBN: 9781588321053
Category : Language Arts & Disciplines
Languages : en
Pages : 198
Book Description
Elucidates the relation between quantifiers in formal logic and quantifiers in natural language. Demystifies the theoretical apparatus of contemporary logic as it provides theoretical explanations concerning quantification in natural language, and idiomatic quantifiers in ordinary English in particular.
The Function of Quantifiers in Syllogistic Reasoning
Author: Sharon M. GordonPublisher:
ISBN:
Category : Reasoning (Psychology)
Languages : en
Pages : 212
Book Description
On the Syllogism
Author: Augustus De MorganPublisher: Routledge
ISBN: 0429511396
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.