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: 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.
(6319 views)
Book cover: A Concise Introduction to Mathematical LogicA Concise Introduction to Mathematical Logic
by - Springer
A well-written introduction to the beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Goedel's incompleteness theorems, as well as some topics motivated by applications.
(8437 views)
Book cover: The Art of LogicThe Art of Logic
by - University of Pittsburgh
Contents: Grammar; The art of the logic of truth-functional connectives; Quantifier proofs; A modicum of set theory; Symbolizing English quantifiers; Quantifier semantics - interpretation and counterexample; Theories; Definitions.
(7838 views)
Book cover: Intuitionistic LogicIntuitionistic Logic
by - Universiteit van Amsterdam
In this course we give an introduction to intuitionistic logic. We concentrate on the propositional calculus mostly, make some minor excursions to the predicate calculus and to the use of intuitionistic logic in intuitionistic formal systems.
(6736 views)