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Multiple Conclusion Logic


Multiple Conclusion Logic
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Multiple Conclusion Logic


Multiple Conclusion Logic
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Author : D. J. Shoesmith
language : en
Publisher: CUP Archive
Release Date : 1978-07-06

Multiple Conclusion Logic written by D. J. Shoesmith and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-07-06 with Mathematics categories.


This is a sustained study of the subject and is certain to stimulate further research.



Multiple Conclusion Logic


Multiple Conclusion Logic
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Author : D. J. Shoesmith
language : en
Publisher: Cambridge University Press
Release Date : 1978-07-06

Multiple Conclusion Logic written by D. J. Shoesmith 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 1978-07-06 with Mathematics categories.


Multiple-conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are true. The extension opens up interesting possibilities based on the symmetry between premises and conclusions, and can also be used to throw fresh light on the conventional logic and its limitations. This is a sustained study of the subject and is certain to stimulate further research. Part I reworks the fundamental ideas of logic to take account of multiple conclusions, and investigates the connections between multiple - and single - conclusion calculi. Part II draws on graph theory to discuss the form and validity of arguments independently of particular logical systems. Part III contrasts the multiple - and the single - conclusion treatment of one and the same subject, using many-valued logic as the example; and Part IV shows how the methods of 'natural deduction' can be matched by direct proofs using multiple conclusions.



Predicting Intermediate And Multiple Conclusions On Predicate Logic Reasoning Problems


Predicting Intermediate And Multiple Conclusions On Predicate Logic Reasoning Problems
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Author : Jasminka Grgas
language : en
Publisher:
Release Date : 1998

Predicting Intermediate And Multiple Conclusions On Predicate Logic Reasoning Problems written by Jasminka Grgas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Logic categories.




The Posing Of Questions


The Posing Of Questions
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Author : A. Wisniewski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

The Posing Of Questions written by A. Wisniewski 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 2013-11-27 with Philosophy categories.


This book is a study in the logic of questions (sometimes called erotetic logic). The central topics in erotetic logic have been the structure of questions and the question-answer relationship. This book doesn't neglect these problems, but much of it is focussed on other issues. The main subject is the logical analysis of certain relations between questions and the contexts of their appearance. And our aim is to elaborate the conceptual apparatus of the inferential approach to the logic of questions. Questions are asked for many reasons and for different purposes. Yet, before a question is asked or posed, a questioner must arrive at it. In many cases arriving at a question resembles coming to a conclusion: there are some premises involved and some inferential thought processes take place. If we agree that a conclusion need not be "conclusive", we may say that sometimes questions can play the role of conclusions. But questions can also perform the role of premises: we often pass from some "initial" question to another question. In other words, there are inferential thought processes - we shall call them erotetic inferences - in which questions play the roles of conclusions or conclusions and premises. The inferential approach to the logic of questions focusses its attention on the analysis of erotetic inferences. This book consists of eight chapters.



Logic For Concurrency And Synchronisation


Logic For Concurrency And Synchronisation
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Author : R.J. De Queiroz
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11

Logic For Concurrency And Synchronisation written by R.J. De Queiroz 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 2006-04-11 with Mathematics categories.


This book is for researchers in computer science, mathematical logic, and philosophical logic. It shows the state of the art in current investigations of process calculi with mainly two major paradigms at work: linear logic and modal logic. The combination of approaches and pointers for further integration also suggests a grander vision for the field.



The Many Valued And Nonmonotonic Turn In Logic


The Many Valued And Nonmonotonic Turn In Logic
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Author : Dov M. Gabbay
language : en
Publisher: Elsevier
Release Date : 2007-08-13

The Many Valued And Nonmonotonic Turn In Logic written by Dov M. Gabbay and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-13 with Mathematics categories.


The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence.The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called “left non-monotonicity , it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called “right non-monotonicity , limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained.In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics allow certain selected sentences to have, as a third truth value, the classical values of truth and falsity together. So such logics also admit classically inconsistent inputs. A central task is to construct a right non-monotonic consequence relation that allows for these many-valued, and inconsistent, inputs.The Many Valued and Non-Monotonic Turn in Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas. Detailed and comprehensive chapters covering the entire range of modal logic. Contains the latest scholarly discoveries and interprative insights that answers many questions in the field of logic.



A Concise Introduction To Logic


A Concise Introduction To Logic
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Author : Craig DeLancey
language : en
Publisher: Open SUNY Textbooks
Release Date : 2017-02-06

A Concise Introduction To Logic written by Craig DeLancey and has been published by Open SUNY Textbooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-06 with categories.




Deductive Systems In Traditional And Modern Logic


Deductive Systems In Traditional And Modern Logic
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Author : Alex Citkin
language : en
Publisher: MDPI
Release Date : 2020-11-18

Deductive Systems In Traditional And Modern Logic written by Alex Citkin and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-18 with Mathematics categories.


The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.



A Dictionary Of Logic


A Dictionary Of Logic
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Author : Thomas Macaulay Ferguson
language : en
Publisher: Oxford University Press
Release Date : 2016-06-16

A Dictionary Of Logic written by Thomas Macaulay Ferguson and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-16 with Philosophy categories.


A Dictionary of Logic expands on Oxford's coverage of the topic in works such as The Oxford Dictionary of Philosophy, The Concise Oxford Dictionary of Mathematics, and A Dictionary of Computer Science. Featuring more than 450 entries primarily concentrating on technical terminology, the history of logic, the foundations of mathematics, and non-classical logic, this dictionary is an essential resource for both undergraduates and postgraduates studying philosophical logic at a high level.



Introduction To Logic


Introduction To Logic
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Author : Irving M. Copi
language : en
Publisher: Routledge
Release Date : 2018-09-03

Introduction To Logic written by Irving M. Copi and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Philosophy categories.


For more than six decades, and for thousands of students, Introduction to Logic has been the gold standard in introductory logic texts. In this fifteenth edition, Carl Cohen and Victor Rodych update Irving M. Copi’s classic text, improving on its many strengths and introducing new and helpful material that will greatly assist both students and instructors. In particular, chapters 1, 8, and 9 have been greatly enhanced without disturbing the book’s clear and gradual pedagogical approach. Specifically: Chapter 1 now uses a simpler and better definition of "deductive validity," which enhances the rest of the book (especially chapters 1 and 8-10, and their new components). Chapter 8 now has: Simpler definitions of "simple statement" and "compound statement" More and more detailed examples of the Complete Truth-Table Method. Chapter 9 now has: A detailed, step-by-step account of the Shorter Truth-Table Method (with detailed step-by-step examples for conclusions of different types) A more complete and detailed account of Indirect Proof A detailed justification for Indirect Proof treating each of the three distinct ways in which an argument can be valid A new section on Conditional Proof, which complements the 19 Rules of Inference and Indirect Proof Explications of proofs of tautologies using both Indirect Proof and Conditional Proof A new section at the end of the chapter explaining the important difference between sound and demonstrative arguments. The Appendices now include: A new appendix on making the Shorter Truth-Table Technique (STTT) more efficient by selecting the most efficient sequence of STTT steps A new appendix on Step 1 calculations for multiple-line shorter truth tables A new appendix on unforced truth-value assignments, invalid arguments, and Maxims III-V. In addition, a Companion Website will offer: for Students: A Proof Checker Complete Truth Table Exercises Shorter Truth-Table Exercises A Truth-Table Video Venn Diagram Testing of Syllogisms Hundreds of True/False and Multiple Choice Questions for Instructors: An Instructor’s Manual A Solutions Manual www.routledge.com/cw/9781138500860