by Stephen G. Simpson
Publisher: Pennsylvania State University 2013
Number of pages: 128
This is a course of Mathematical Logic for all mathematics graduate students. The text covers the propositional calculus, the predicate calculus, proof systems for propositional and predicate calculus, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.
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by P.D. Magnus
An introduction to sentential logic and first-order predicate logic with identity, logical systems that influenced twentieth-century analytic philosophy. The book should help students understand quantified expressions in their philosophical reading.
by Wolfram Pohlers, Thomas Glass
This text treats pure logic and in this connection introduces to basic proof-theoretic techniques. Fundamentals of model theory and those of recursion theory are dealt with. Furthermore, some extensions of first order logic are treated.
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 Nuel Belnap - University of Pittsburgh
Contents: Grammar; The art of the logic of truth-functional connectives; Quantifier proofs; A modicum of set theory; Symbolizing English quantifiers; Quantifier semantics - interpretation and counterexample; Theories; Definitions.