A Structuralist Theory Of Logic

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A Structuralist Theory Of Logic
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Author : Arnold Koslow
language : en
Publisher: Cambridge University Press
Release Date : 2005-11-17
A Structuralist Theory Of Logic written by Arnold Koslow and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-17 with Philosophy categories.
Professor Koslow advances a new account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part 3 defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is given, and the extensionality of each of the operators, as well as the relation of negation and its dual are given substantial treatment because of the novel results they yield. Part 4 considers modal operators and studies their interaction with logical operators. By obtaining the usual results without the usual assumptions this new approach allows one to give a very simple account of modal logic minus the excess baggage of possible world semantics.
A Structuralist Theory Of Logic
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Author : Arnold Koslow
language : en
Publisher: Cambridge University Press
Release Date : 1992-03-27
A Structuralist Theory Of Logic written by Arnold Koslow and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-27 with Mathematics categories.
Professor Koslow advances a new account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part 3 defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is given, and the extensionality of each of the operators, as well as the relation of negation and its dual are given substantial treatment because of the novel results they yield. Part 4 considers modal operators and studies their interaction with logical operators. By obtaining the usual results without the usual assumptions this new approach allows one to give a very simple account of modal logic minus the excess baggage of possible world semantics.
Logic Syntax And A Structural View
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Author : Harwood Fisher
language : en
Publisher: Springer Nature
Release Date : 2020-11-12
Logic Syntax And A Structural View written by Harwood Fisher and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-12 with Psychology categories.
This book presents a new structural approach to the psychology of the person, inspired by Kenneth Colby’s computer-generated simulation, PARRY. The simulation was of a paranoid psychological state, represented in forms of the person's logic and syntax, as these would be evidenced in personal communication. Harwood Fisher uses a Structural View to highlight similarities in the logical form of the linguistic representations of Donald Trump, his avid followers (“Trumpers”), and the paranoid—referred to as “The Trio.” He demonstrates how the Structural View forms a series of logical and schematic patterns, similar to the way that content analysis can bring forth associations meanings, and concepts held in the text. Such comparisons, Fisher argues, can be used to shed light on contingencies for presenting, representing, and judging truth. Specifically, Fisher posits that the major syntactic and logical patterns that were used to produce the computer-generated “paranoid” responses in Colby’s project can be used to analyze Donald Trump’s rhetoric and his followers’ reactions to it. Ultimately, Fisher offers a new kind of structural approach for the philosophy of psychology. This novel work will appeal to students and scholars of social and cognitive psychology, psychology of personality, psychiatric classification, psycholinguistics, rhetoric, and computer science.
A Structuralist Theory Of Economics
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Author : Adolfo García de la Sienra
language : en
Publisher: Routledge
Release Date : 2019-01-15
A Structuralist Theory Of Economics written by Adolfo García de la Sienra and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-15 with Business & Economics categories.
Economists have long grappled with the problem of how economic theories relate to empirical evidence: how can abstract mathematized theories be used to produce empirical claims? How are such theories applied to economic phenomena? What does it mean to “test” economic theories? This book introduces, explains, and develops a structural philosophy of economics which addresses these questions and provides a unifying philosophical/logical basis for a general methodology of economics. The book begins by introducing a rigorous view of the logical foundations and structure of scientific theories based upon the work of Alfred Tarski, Patrick Suppes, Karl Marx, and others. Using and combining their methods, the book then goes on to reconstruct important economic theories – including utility theory, game theory, Marxian economics, Sraffian economic theory, and econometrics – proving all the main theorems and discussing the key claims and the empirical applicability of each theory. Through these discussions, this book presents, in a systematic fashion, a general philosophy of economics grounded in the structural view. Offering rigorous formulations of important economic theories, A Structuralist Theory of Economics will be invaluable to all readers interested in the logic, philosophy, and methodology of economics. It will also appeal particularly to those interested in economic theory.
Theory Of Logical Calculi
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Author : Ryszard Wójcicki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Theory Of Logical Calculi written by Ryszard Wójcicki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Philosophy categories.
The general aim of this book is to provide an elementary exposition of some basic concepts in terms of which both classical and non-dassicallogirs may be studied and appraised. Although quantificational logic is dealt with briefly in the last chapter, the discussion is chiefly concemed with propo gjtional cakuli. Still, the subject, as it stands today, cannot br covered in one book of reasonable length. Rather than to try to include in the volume as much as possible, I have put emphasis on some selected topics. Even these could not be roverrd completely, but for each topic I have attempted to present a detailed and precise t'Xposition of several basic results including some which are non-trivial. The roots of some of the central ideas in the volume go back to J. Luka siewicz's seminar on mathematicallogi.
A Structural Account Of Mathematics
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Author : Charles S. Chihara
language : en
Publisher: OUP Oxford
Release Date : 2003-11-20
A Structural Account Of Mathematics written by Charles S. Chihara and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-20 with Philosophy categories.
Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems are applied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. Chihara builds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops the project further by analysing mathematical systems currently used by scientists to show how such systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by Willard Quine and Hilary Putnam. And Chihara presents a rationale for the nominalistic outlook that is quite different from those generally put forward, which he maintains have led to serious misunderstandings. A Structural Account of Mathematics will be required reading for anyone working in this field.
Logic Epistemology And Scientific Theories From Peano To The Vienna Circle
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Author : Paola Cantù
language : en
Publisher: Springer Nature
Release Date : 2024-01-03
Logic Epistemology And Scientific Theories From Peano To The Vienna Circle written by Paola Cantù and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-03 with Science categories.
This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.
Structuralist Theory Of Science
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Author : Wolfgang Balzer
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-22
Structuralist Theory Of Science written by Wolfgang Balzer and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-22 with Philosophy categories.
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The Logical Writings Of Karl Popper
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Author : David Binder
language : en
Publisher: Springer Nature
Release Date : 2022-08-07
The Logical Writings Of Karl Popper written by David Binder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-07 with Philosophy categories.
This open access book is the first ever collection of Karl Popper's writings on deductive logic. Karl R. Popper (1902-1994) was one of the most influential philosophers of the 20th century. His philosophy of science ("falsificationism") and his social and political philosophy ("open society") have been widely discussed way beyond academic philosophy. What is not so well known is that Popper also produced a considerable work on the foundations of deductive logic, most of it published at the end of the 1940s as articles at scattered places. This little-known work deserves to be known better, as it is highly significant for modern proof-theoretic semantics. This collection assembles Popper's published writings on deductive logic in a single volume, together with all reviews of these papers. It also contains a large amount of unpublished material from the Popper Archives, including Popper's correspondence related to deductive logic and manuscripts that were (almost) finished, but did not reach the publication stage. All of these items are critically edited with additional comments by the editors. A general introduction puts Popper's work into the context of current discussions on the foundations of logic. This book should be of interest to logicians, philosophers, and anybody concerned with Popper's work.
Karl Popper Science
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Author : Ian Charles Jarvie
language : en
Publisher: Ashgate Publishing, Ltd.
Release Date : 2006
Karl Popper Science written by Ian Charles Jarvie and has been published by Ashgate Publishing, Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Philosophy categories.
Sir Karl Popper (1902-1994) is one of the most controversial and widely read philosophers of the 20th century. Volume III examines Popper's contribution to our understanding of logic, mathematics, physics, biology and the social sciences, from economics to education