Logo

What is Mathematics: Gödel's Theorem and Around

Small book cover: What is Mathematics: Gödel's Theorem and Around

What is Mathematics: Gödel's Theorem and Around
by

Publisher: University of Latvia
Number of pages: 239

Description:
Hyper-textbook for students in mathematical logic and foundations of mathematics. Contents: Platonism, intuition and the nature of mathematics; Axiomatic Set Theory; First Order Arithmetic; Hilbert's Tenth Problem; Incompleteness Theorems; Around Goedel's Theorem.

Home page url

Download or read it online for free here:
Download link
(1.2MB, PDF)

Similar books

Book cover: The Haskell Road to Logic, Maths and ProgrammingThe Haskell Road to Logic, Maths and Programming
by - 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.
(12475 views)
Book cover: Logic for Computer ScienceLogic for Computer Science
- Wikibooks
This book provides a survey of mathematical logic and its various applications. After covering basic material of propositional logic and first-order logic, the course presents the foundations of finite model theory and descriptive complexity.
(5651 views)
Book cover: Topics in Logic and FoundationsTopics in Logic and Foundations
by - The Pennsylvania State University
This is a set of lecture notes from a 15-week graduate course at the Pennsylvania State University. The course covered some topics which are important in contemporary mathematical logic and foundations but usually omitted from introductory courses.
(660 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.
(8185 views)