The Semantic Foundations Of Logic Volume 1: Propositional Logics by R.l. EpsteinThe Semantic Foundations Of Logic Volume 1: Propositional Logics by R.l. Epstein

The Semantic Foundations Of Logic Volume 1: Propositional Logics

byR.l. EpsteinEditorWalter Carnielli, Itala M. D'ottaviano

Paperback | November 13, 2013

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This book grew out of my confusion. If logic is objective how can there be so many logics? Is there one right logic, or many right ones? Is there some underlying unity that connects them? What is the significance of the mathematical theorems about logic which I've learned if they have no connection to our everyday reasoning? The answers I propose revolve around the perception that what one pays attention to in reasoning determines which logic is appropriate. The act of abstracting from our reasoning in our usual language is the stepping stone from reasoned argument to logic. We cannot take this step alone, for we reason together: logic is reasoning which has some objective value. For you to understand my answers, or perhaps better, conjectures, I have retraced my steps: from the concrete to the abstract, from examples, to general theory, to further confirming examples, to reflections on the significance of the work.
Title:The Semantic Foundations Of Logic Volume 1: Propositional LogicsFormat:PaperbackDimensions:388 pagesPublished:November 13, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401067228

ISBN - 13:9789401067225


Table of Contents

The Basic Assumptions of Propositional Logic.- Classical Propositional Logic - PC -.- Relatedness Logic: The Subject Matter of a Proposition - S and R -.- A General Framework for Semantics for Propositional Logics.- Dependence Logics - D, Dual D, Eq, DPC -.- Modal Logics - S4, S5, S4Grz, T, B, K, QT, MSI, ML, G, G* -.- Intuitionism - Int and J -.- Many-Valued Logics - L3, Ln, L?, K3, G3, Gn, G?, S5 -.- A Paraconsistent Logic: J3.- Translations Between Logics.- The Semantic Foundations of Logic.- Summary of Logics.