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: The Algebra of LogicThe Algebra of Logic
by - Project Gutenberg
Mathematical Logic is a necessary preliminary to logical Mathematics. The present work is concerned with the 'calculus ratiocinator' aspect, and shows, in an admirably succinct form, the beauty of the calculus of logic regarded as an algebra.
(8745 views)
Book cover: Introduction to Mathematical PhilosophyIntroduction to Mathematical Philosophy
by - University of Massachusetts Amherst
A very accessible mathematical classic. It sets forth in elementary form the logical definition of number, the analysis of the notion of order, the modern doctrine of the infinite, and the theory of descriptions and classes as symbolic fictions.
(11399 views)
Book cover: Lectures on Linear LogicLectures on Linear Logic
by - CSLI
This text deals with logical formalism, cut-elimination, the embedding of intuitionistic logic in classical linear logic, proofnets for the multiplicative fragment and the algorithmic interpretation of cut-elimination in proofnets.
(8992 views)
Book cover: Natural TopologyNatural Topology
by - 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.
(5780 views)