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.
(17188 views)
Book cover: Notes on the Science of LogicNotes on the Science of Logic
by - 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.
(8013 views)
Book cover: Logic For EveryoneLogic For Everyone
by
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.
(13018 views)
Book cover: Logic for Computer ScientistsLogic for Computer Scientists
by - Wikibooks
This book is intended for computer scientists and it assumes only some basic mathematical notions like relations and orderings. The aim was to create an interactive script where logics can be experienced by interaction and experimentation.
(7345 views)