The Logic of Entailment and its History

Edwin Mares

doi:10.1017/9781009375283

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Standefer, Shawn 2024. Routes to relevance: Philosophies of relevant logics. Philosophy Compass, Vol. 19, Issue. 2,

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Sedlár, Igor Standefer, Shawn and Tedder, Andrew 2025. New Directions in Relevant Logic. Vol. 63, Issue. , p. 1.

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Restall, Greg 2025. New Directions in Relevant Logic. Vol. 63, Issue. , p. 343.

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Edwin Mares, Victoria University of Wellington

Publisher:: Cambridge University Press
Online publication date:: February 2024
Print publication year:: 2024
Online ISBN:: 9781009375283
DOI:: https://doi.org/10.1017/9781009375283

Subjects:: Mathematics, Logic, Categories and Sets, Logic, Philosophy

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The Logic of Entailment and its History
Edwin Mares
Online ISBN: 9781009375283

Book DOI: https://doi.org/10.1017/9781009375283
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What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.

‘The Logic of Entailment and Its History by Edwin Mares is interesting, erudite, and original. It seamlessly weaves together contemporary research in logic with its history. The result is a novel, accessible take on entailment and its use in our scientific theories.'

Zach Weber - University of Otago

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The Logic of Entailment and its History

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-x

Preface
pp xi-xiii

Acknowledgements
pp xiv-xiv

Table of Symbols
pp xv-xvi

1 - Why Entailment?
pp 1-20

Part I - Entailment in the Twentieth Century
pp 21-22

2 - C. I. Lewis and His School
pp 23-50

3 - Entailment and Possible Worlds
pp 51-69

4 - Entailment and Relevance
pp 70-95

5 - Reflexivity
pp 96-116

Part II - Theories and Entailment
pp 117-118

6 - Theories and Closure
pp 119-135

7 - Theories of Entailment
pp 136-154

Part III - The Logic E of Relevant Entailment
pp 155-156

8 - The Logic of Entailment
pp 157-174

9 - Negation and Disjunction
pp 175-191

10 - Quantification
pp 192-214

11 - Entailment and Reasoning
pp 215-227

Appendix - Systems, Semantics, and Technical Results
pp 228-251

References
pp 252-261

Index
pp 262-264

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The Logic of Entailment and its History

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