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 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 - The Pennsylvania State University
This is a set of lecture notes from a 15-week graduate course at the Pennsylvania State University. The course covered some topics which are important in contemporary mathematical logic and foundations but usually omitted from introductory courses.
An undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs. The first rules of formal logic were written over 2300 years ago by Aristotle and are still vital.
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.