Logo

Introduction to Mathematical Logic: A problem solving course

Small book cover: Introduction to Mathematical Logic: A problem solving course

Introduction to Mathematical Logic: A problem solving course
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(430KB, PDF)

Similar books

Book cover: A Problem Course in Mathematical LogicA Problem Course in Mathematical Logic
by
An introduction to mathematical logic for undergraduates. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is to learn the material by solving the problems.
(16585 views)
Book cover: Introduction to Mathematical LogicIntroduction to Mathematical Logic
by - 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).
(6773 views)
Book cover: The Principles Of MathematicsThe Principles Of Mathematics
by - W. W. Norton & Company
Russell's classic sets forth his landmark thesis that mathematics and logic are identical -- that what is called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on the foundations of mathematics.
(9615 views)
Book cover: Symbolic Logic: A Second CourseSymbolic Logic: A Second Course
by - 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.
(9249 views)