Notes on the Science of Logic
by Nuel Belnap
Publisher: University of Pittsburgh 2009
Number of pages: 227
This course assumes you know how to use truth functions and quantifiers as tools. Our principal task here will be to study these very tools; we shall be engaged in part of the science of logic. Contents: Preliminaries; The logic of truth functional connectives; The first order logic of extensional predicates, operators, and quantifiers.
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by Gary Hardegree - UMass Amherst
Contents: Summary; Translations in Function Logic; Derivations in Function Logic; Translations in Identity Logic; Extra Material on Identity Logic; Derivations in Identity Logic; Translations in Description Logic; Derivations in Description Logic.
by Joseph Y. Halpern - The MIT Press
In this book, Joseph Halpern explores actual causality, and such related notions as degree of responsibility, degree of blame, and causal explanation. The goal is to arrive at a definition of causality that matches our natural language usage.
by Vilnis Detlovs, Karlis Podnieks - University of Latvia
From the table of contents: 1. Introduction. What Is Logic, Really?; 2. Propositional Logic; 3. Predicate Logic; 4. Completeness Theorems (Model Theory); 5. Normal Forms. Resolution Method; 6. Miscellaneous (Negation as Contradiction or Absurdity).
by Stephen G. Simpson - Pennsylvania State University
Lecture notes for all mathematics graduate students. The text covers propositional calculus, predicate calculus, proof systems, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.