The Logic Of Sortals
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| Author | : Max A. Freund |
| Publisher | : Springer |
| Total Pages | : 173 |
| Release | : 2019-06-25 |
| Genre | : Philosophy |
| ISBN | : 3030182789 |
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.
| Author | : E. J. Lowe |
| Publisher | : John Wiley & Sons |
| Total Pages | : 240 |
| Release | : 2015-02-23 |
| Genre | : Philosophy |
| ISBN | : 1118963865 |
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.
| Author | : Michael Durrant |
| Publisher | : Routledge |
| Total Pages | : 333 |
| Release | : 2017-07-12 |
| Genre | : Social Science |
| ISBN | : 1351768271 |
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.
| Author | : Max A. Freund |
| Publisher | : Springer |
| Total Pages | : 160 |
| Release | : 2020-08-14 |
| Genre | : Philosophy |
| ISBN | : 9783030182809 |
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.
| Author | : E. J. Lowe |
| Publisher | : Cambridge University Press |
| Total Pages | : 227 |
| Release | : 2013-04-11 |
| Genre | : Philosophy |
| ISBN | : 1107001250 |
Lowe investigates the forms of thought, showing how this study is crucial to understanding the powers of the intellect.
| Author | : Crispin Wright |
| Publisher | : Pergamon |
| Total Pages | : 220 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Bob Hale |
| Publisher | : John Wiley & Sons |
| Total Pages | : 1176 |
| Release | : 2017-02-15 |
| Genre | : Philosophy |
| ISBN | : 1118972082 |
“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.
| Author | : John Macnamara |
| Publisher | : Cambridge, Mass. : MIT Press |
| Total Pages | : 240 |
| Release | : 1986 |
| Genre | : Cognition |
| ISBN | : |
A Border Disputeintegrates the latest work in logic and semantics into a theory of language learning and presents six worked examples of how that theory revolutionizes cognitive psychology. Macnamara's thesis is set against the background of a fresh analysis of the psychologism debate of the 19th-century, which led to the current standoff between logic and psychology. The book presents psychologism through the writings of John Stuart Mill and Immanuel Kant, and its rejection by Gottlob Frege and Edmund Husserl. It then works out the general thesis that logic ideally presents a competence theory for part of human reasoning and explains how logical intuition is grounded in properties of the mind. The next six chapters present examples that illustrate the relevance of logic to psychology. These problems are all in the semantics of child language (the learning of proper names, personal pronouns, sortals or common nouns, quantifiers, and the truth-functional connectives) and reflect Macnamara's rich background in developmental psychology, particularly child language - a field, he points out, that embraces all of cognition. Technical problems raised by but not included in the examples in the main part of the text are dealt with in a separate chapter. The book concludes by describing laws in cognitive psychology, or the type of science made possible by Macnamara's new theory. John Macnamara is Professor of Psychology and Director of the Program in the History and Philosophy of Science, McGill University. A Bradford Book.
| Author | : Eric Steinhart |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 272 |
| Release | : 2013-06-29 |
| Genre | : Philosophy |
| ISBN | : 9401596549 |
1. Metaphors and Logic Metaphors are among the most vigorous offspring of the creative mind; but their vitality springs from the fact that they are logical organisms in the ecology of l- guage. I aim to use logical techniques to analyze the meanings of metaphors. My goal here is to show how contemporary formal semantics can be extended to handle metaphorical utterances. What distinguishes this work is that it focuses intensely on the logical aspects of metaphors. I stress the role of logic in the generation and int- pretation of metaphors. While I don't presuppose any formal training in logic, some familiarity with philosophical logic (the propositional calculus and the predicate c- culus) is helpful. Since my theory makes great use of the notion of structure, I refer to it as the structural theory of m etaphor (STM). STM is a semant ic theory of m etaphor : if STM is correct, then metaphors are cognitively meaningful and are n- trivially logically linked with truth. I aim to extend possible worlds semantics to handle metaphors. I'll argue that some sentences in natural languages like English have multiple meanings: "Juliet is the sun" has (at least) two meanings: the literal meaning "(Juliet is the sunkIT" and the metaphorical meaning "(Juliet is the sun)MET". Each meaning is a function from (possible) worlds to truth-values. I deny that these functions are identical; I deny that the metaphorical function is necessarily false or necessarily true.
| Author | : Daniel N. Osherson |
| Publisher | : MIT Press |
| Total Pages | : 460 |
| Release | : 1995 |
| Genre | : Psychology |
| ISBN | : 9780262650434 |
Rather than surveying theories and data in the manner characteristic of many introductory textbooks in the field, An Invitation to Cognitive Science employs a unique case study approach, presenting a focused research topic in some depth and relying on suggested readings to convey the breadth of views and results.
