**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

**Logics of Time and Computation**

by

**Robert Goldblatt**-

**Center for the Study of Language**

Sets out the basic theory of normal modal and temporal propositional logics, applies this theory to logics of discrete, dense, and continuous time, to the temporal logic of henceforth, next, and until, and to the dynamic logic of regular programs.

(

**7051**views)

**Notes on the Science of Logic**

by

**Nuel Belnap**-

**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.

(

**7151**views)

**Logic For Everyone**

by

**Robert A. Herrmann**

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.

(

**12040**views)

**Topics in Logic and Foundations**

by

**Stephen G. Simpson**-

**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.

(

**1282**views)