The Logic of Sortals

The Logic of Sortals
Title The Logic of Sortals PDF eBook
Author Max A. Freund
Publisher Springer
Pages 173
Release 2019-06-25
Genre Philosophy
ISBN 3030182789

Download The Logic of Sortals Book in PDF, Epub and Kindle

Sortal concepts are at the center of certain logical discussions and have played a significant role in solutions to particular problems in philosophy. Apart from logic and philosophy, the study of sortal concepts has found its place in specific fields of psychology, such as the theory of infant cognitive development and the theory of human perception. In this monograph, different formal logics for sortal concepts and sortal-related logical notions (such as sortal identity and first-order sortal quantification) are characterized. Most of these logics are intensional in nature and possess, in addition, a bidimensional character. That is, they simultaneously represent two different logical dimensions. In most cases, the dimensions are those of time and natural necessity, and, in other cases, those of time and epistemic necessity. Another feature of the logics in question concerns second-order quantification over sortal concepts, a logical notion that is also represented in the logics. Some of the logics adopt a constant domain interpretation, others a varying domain interpretation of such quantification. Two of the above bidimensional logics are philosophically grounded on predication sortalism, that is, on the philosophical view that predication necessarily requires sortal concepts. Another bidimensional logic constitutes a logic for complex sortal predicates. These three sorts of logics are among the important novelties of this work since logics with similar features have not been developed up to now, and they might be instrumental for the solution of philosophically significant problems regarding sortal predicates. The book assumes a modern variant of conceptualism as a philosophical background. For this reason, the approach to sortal predicates is in terms of sortal concepts. Concepts, in general, are here understood as intersubjective realizable cognitive capacities. The proper features of sortal concepts are determined by an analysis of the main features of sortal predicates. Posterior to this analysis, the sortal-related logical notions represented in the above logics are discussed. There is also a discussion on the extent to which the set-theoretic formal semantic systems of the book capture different aspects of the conceptualist approach to sortals. These different semantic frameworks are also related to realist and nominalist approaches to sortal predicates, and possible modifications to them are considered that might represent those alternative approaches.

More Kinds of Being

More Kinds of Being
Title More Kinds of Being PDF eBook
Author E. J. Lowe
Publisher John Wiley & Sons
Pages 240
Release 2015-02-23
Genre Philosophy
ISBN 1118963865

Download More Kinds of Being Book in PDF, Epub and Kindle

Taking into account significant developments in the metaphysical thinking of E. J. Lowe over the past 20 years, More Kinds of Being: A Further Study of Individuation, Identity, and the Logic of Sortal Terms presents a thorough reworking and expansion of the 1989 edition of Kinds of Being. Brings many of the original ideas and arguments put forth in Kinds of Being thoroughly up to date in light of new developments Features a thorough reworking and expansion of the earlier work, rather than just a new edition Reflects the author's conversion to what he calls 'the four-category ontology,' a metaphysical system that takes its inspiration from Aristotle Provides a unified discussion of individuation and identity that should prove to be essential reading for philosophers working in metaphysics.

Sortals and the Subject-predicate Distinction (2001)

Sortals and the Subject-predicate Distinction (2001)
Title Sortals and the Subject-predicate Distinction (2001) PDF eBook
Author Michael Durrant
Publisher Routledge
Pages 333
Release 2017-07-12
Genre Social Science
ISBN 1351768271

Download Sortals and the Subject-predicate Distinction (2001) Book in PDF, Epub and Kindle

This title was first published in 2001. The problem of the subject-predicate distinction has featured centrally in much of modern philosophy of language and philosophical logic, and the distinction is taken as basic or fundamental in modern philosophical logic. Michael Durrant seeks to demonstrate that the distinction should not be taken as basic or fundamental and argues that the reason for it being held to be fundamental is a failure to acknowledge the category and role of the sortal. A sortal is a symbol which furnishes us with a principle for distinguishing and counting particulars (objects) and whick does so in its own right relying on no antecedent principle or method of so distinguishing or counting. This book explores sortals and their relationship to the subject-predicate distinction; arguing that the nature of sortal symbols has been misconstrued in much modern writing in the philosophy of logic by failing to distinguish sortals from names and predicates.

The Logic of Sortals

The Logic of Sortals
Title The Logic of Sortals PDF eBook
Author Max A. Freund
Publisher Springer
Pages 160
Release 2020-08-14
Genre Philosophy
ISBN 9783030182809

Download The Logic of Sortals Book in PDF, Epub and Kindle

Sortal concepts are at the center of certain logical discussions and have played a significant role in solutions to particular problems in philosophy. Apart from logic and philosophy, the study of sortal concepts has found its place in specific fields of psychology, such as the theory of infant cognitive development and the theory of human perception. In this monograph, different formal logics for sortal concepts and sortal-related logical notions (such as sortal identity and first-order sortal quantification) are characterized. Most of these logics are intensional in nature and possess, in addition, a bidimensional character. That is, they simultaneously represent two different logical dimensions. In most cases, the dimensions are those of time and natural necessity, and, in other cases, those of time and epistemic necessity. Another feature of the logics in question concerns second-order quantification over sortal concepts, a logical notion that is also represented in the logics. Some of the logics adopt a constant domain interpretation, others a varying domain interpretation of such quantification. Two of the above bidimensional logics are philosophically grounded on predication sortalism, that is, on the philosophical view that predication necessarily requires sortal concepts. Another bidimensional logic constitutes a logic for complex sortal predicates. These three sorts of logics are among the important novelties of this work since logics with similar features have not been developed up to now, and they might be instrumental for the solution of philosophically significant problems regarding sortal predicates. The book assumes a modern variant of conceptualism as a philosophical background. For this reason, the approach to sortal predicates is in terms of sortal concepts. Concepts, in general, are here understood as intersubjective realizable cognitive capacities. The proper features of sortal concepts are determined by an analysis of the main features of sortal predicates. Posterior to this analysis, the sortal-related logical notions represented in the above logics are discussed. There is also a discussion on the extent to which the set-theoretic formal semantic systems of the book capture different aspects of the conceptualist approach to sortals. These different semantic frameworks are also related to realist and nominalist approaches to sortal predicates, and possible modifications to them are considered that might represent those alternative approaches.

Forms of Thought

Forms of Thought
Title Forms of Thought PDF eBook
Author E. J. Lowe
Publisher Cambridge University Press
Pages 227
Release 2013-04-11
Genre Philosophy
ISBN 1107001250

Download Forms of Thought Book in PDF, Epub and Kindle

Lowe investigates the forms of thought, showing how this study is crucial to understanding the powers of the intellect.

Frege's Conception of Numbers as Objects

Frege's Conception of Numbers as Objects
Title Frege's Conception of Numbers as Objects PDF eBook
Author Crispin Wright
Publisher Pergamon
Pages 220
Release 1983
Genre Mathematics
ISBN

Download Frege's Conception of Numbers as Objects Book in PDF, Epub and Kindle

A Companion to the Philosophy of Language

A Companion to the Philosophy of Language
Title A Companion to the Philosophy of Language PDF eBook
Author Bob Hale
Publisher John Wiley & Sons
Pages 1176
Release 2017-02-15
Genre Philosophy
ISBN 1118972082

Download A Companion to the Philosophy of Language Book in PDF, Epub and Kindle

“Providing up-to-date, in-depth coverage of the central question, and written and edited by some of the foremost practitioners in the field, this timely new edition will no doubt be a go-to reference for anyone with a serious interest in the philosophy of language.” Kathrin Glüer-Pagin, Stockholm University Now published in two volumes, the second edition of the best-selling Companion to the Philosophy of Language provides a complete survey of contemporary philosophy of language. The Companion has been greatly extended and now includes a monumental 17 new essays – with topics chosen by the editors, who curated suggestions from current contributors – and almost all of the 25 original chapters have been updated to take account of recent developments in the field. In addition to providing a synoptic view of the key issues, figures, concepts, and debates, each essay introduces new and original contributions to ongoing debates, as well as addressing a number of new areas of interest, including two-dimensional semantics, modality and epistemic modals, and semantic relationism. The extended “state-of-the-art” chapter format allows the authors, all of whom are internationally eminent scholars in the field, to incorporate original research to a far greater degree than competitor volumes. Unrivaled in scope, this volume represents the best contemporary critical thinking relating to the philosophy of language.