**What is Mathematics: Gödel's Theorem and Around**

by Karlis Podnieks

**Publisher**: University of Latvia 2013**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.

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## Similar books

**A Second Course in Logic**

by

**Christopher Gauker**-

**University of Cincinnati**

This book is for anyone who has had a solid introductory logic course and wants more. Topics covered include soundness and completeness for first-order logic, Tarski's theorem on the undefinability of truth, Godel's incompleteness theorems, etc.

(

**8197**views)

**The Principles Of Mathematics**

by

**Bertrand Russell**-

**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.

(

**8547**views)

**forall x: An Introduction to Formal Logic**

by

**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.

(

**12590**views)

**A Manual of Intensional Logic**

by

**Johan van Benthem**-

**CSLI**

An examination of the role of partial information - with illustrations drawn from different branches of Intensional Logic - and various influences stemming from current theories of the semantics of natural language, involving generalized quantifiers.

(

**6930**views)