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Time and Space in Formal Logic

Richard L Epstein

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English
Advanced Reasoning Forum
10 September 2022
Time and Space in Formal Logic begins with an analysis of assumptions about how logic and language relate. Then in the first section, times are taken to be established by true propositions, and those are related as before and after with temporal propositional connectives. In the second section, times are treated as things that can be picked out and counted, leading to a predicate logic that allows for quantification over times. In the third section, locations in space are also treated as things that can be picked out and counted, leading to a predicate logic that allows for quantification over both times and locations. Many applications of the formal systems to formalizing ordinary language propositions and inferences clarify better the assumptions we make in reasoning taking account of time and space by making those precise in the formal systems. Appendices on events, branching times, intentions, and descriptive names add to the scope of the work.

By:  
Imprint:   Advanced Reasoning Forum
Dimensions:   Height: 244mm,  Width: 170mm,  Spine: 16mm
Weight:   485g
ISBN:   9781938421686
ISBN 10:   193842168X
Series:   Logic, Language, and the World
Pages:   304
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active

Richard L. Epstein is the author of Computability (with Walter Carnielli), the series The Semantic Foundations of Logic (Propositional Logics, Predicate Logic, Classical Mathematical Logic), the series Logic as the Art of Reasoning Well, and this current series Logic, Language, and the World (An Introduction to Formal Logic, The Internal Structure of Predicates and Names). He is currently the Head of the Advanced Reasoning Forum.

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