A Friendly Introduction to Mathematical Logic
by Christopher C. Leary, Lars Kristiansen
Publisher: Milne Library Publishing 2015
Number of pages: 380
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study.
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by Frank Waaldijk - arXiv
We give a theoretical and applicable framework for dealing with real-world phenomena. Joining pointwise and pointfree notions in BISH, natural topology gives a faithful idea of important concepts and results in intuitionism.
by Christopher Gauker - University of Cincinnati
This book is for anyone who has had a solid introductory logic course and wants more. Topics covered include soundness and completeness for first-order logic, Tarski's theorem on the undefinability of truth, Godel's incompleteness theorems, etc.
by Robert A. Herrmann
This is Robert Herrmann's elementary book in mathematical logic that includes all basic material in the predicate and propositional calculus presented in a unique manner. Neither proof requires specialized mathematical procedures.
by Nuel Belnap - University of Pittsburgh
This course assumes you know how to use truth functions and quantifiers as tools. Our task here is to study these very tools. Contents: logic of truth functional connectives; first order logic of extensional predicates, operators, and quantifiers.