
Introduction to Mathematical Logic: A problem solving course
by Arnold W. Miller
Publisher: arXiv 1996
Number of pages: 75
Description:
This is a set of 288 questions written for a Moore-style course in Mathematical Logic. Topics covered are: propositional logic; axioms of ZFC; wellorderings and equivalents of AC; ordinal and cardinal arithmetic; first order logic, and the compactness theorem; Lowenheim-Skolem theorems; Turing machines, Church's Thesis; completeness theorem and first incompleteness theorem; undecidable theories; second incompleteness theorem.
Download or read it online for free here:
Download link
(430KB, PDF)
Similar books
Formal Logic- Wikibooks
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.
(17111 views)
The Haskell Road to Logic, Maths and Programmingby Kees Doets, Jan van Eijck - College Publications
The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming. The programming language that will be our tool for this is Haskell, a member of the Lisp family.
(22712 views)
forall x: An Introduction to Formal Logicby 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.
(20346 views)
Notes on the Science of Logicby 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.
(13136 views)