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# Mathematical Logic

E-Books for free online viewing and/or download

## subcategories

**Modal Logic** (7)

**Model Theory** (7)

**Proof Theory** (8)

**Set Theory** (13)

## see also

## e-books in this category

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**Asymptotic Differential Algebra and Model Theory of Transseries**

by **M. Aschenbrenner, L. van den Dries, J. van der Hoeven** - **arXiv** , **2015**

We develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive positive results on the model theory of these structures.

(**1172** views)

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

by **Karlis Podnieks** - **University of Latvia** , **2013**

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; Godel's Theorem.

(**2285** views)

**Introduction to Mathematical Logic**

by **Vilnis Detlovs, Karlis Podnieks** - **University of Latvia** , **2014**

From the table of contents: 1. Introduction. What Is Logic, Really?; 2. Propositional Logic; 3. Predicate Logic; 4. Completeness Theorems (Model Theory); 5. Normal Forms. Resolution Method; 6. Miscellaneous (Negation as Contradiction or Absurdity).

(**3828** views)

**Logic for Computer Science**

- **Wikibooks** , **2010**

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.

(**4187** views)

**Natural Topology**

by **Frank Waaldijk** - **arXiv** , **2012**

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.

(**3923** views)

**Logic for Computer Scientists**

by **Uli Furbach** - **Wikibooks** , **2010**

This book is intended for computer scientists and it assumes only some basic mathematical notions like relations and orderings. The aim was to create an interactive script where logics can be experienced by interaction and experimentation.

(**4687** views)

**Logics of Time and Computation**

by **Robert Goldblatt** - **Center for the Study of Language** , **1992**

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.

(**4790** views)

**Intuitionistic Logic**

by **Nick Bezhanishvili, Dick de Jongh** - **Universiteit van Amsterdam** , **2010**

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.

(**5422** views)

**A Manual of Intensional Logic**

by **Johan van Benthem** - **CSLI** , **1988**

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.

(**5379** views)

**Lectures on Linear Logic**

by **A. S. Troelstra** - **CSLI** , **1992**

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.

(**5026** views)

**A Second Course in Logic**

by **Christopher Gauker** - **University of Cincinnati** , **2010**

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.

(**8246** views)

**Notes on the Science of Logic**

by **Nuel Belnap** - **University of Pittsburgh** , **2009**

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.

(**5135** views)

**The Art of Logic**

by **Nuel Belnap** - **University of Pittsburgh** , **2009**

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.

(**6419** views)

**An Introduction to Mathematical Logic**

by **Wolfram Pohlers, Thomas Glass** , **1992**

This text treats pure logic and in this connection introduces to basic proof-theoretic techniques. Fundamentals of model theory and those of recursion theory are dealt with. Furthermore, some extensions of first order logic are treated.

(**9694** views)

**Symbolic Logic: A Second Course**

by **Gary Hardegree** - **UMass Amherst** , **2003**

Contents: Summary; Translations in Function Logic; Derivations in Function Logic; Translations in Identity Logic; Extra Material on Identity Logic; Derivations in Identity Logic; Translations in Description Logic; Derivations in Description Logic.

(**6672** views)

**Symbolic Logic: A First Course**

by **Gary Hardegree** - **Mcgraw-Hill College** , **1999**

Contents: Basic Concepts of Logic; Truth-Functional Connectives; Validity in Sentential Logic; Translations in Sentential Logic; Derivations in Sentential Logic; Translations in Monadic Predicate Logic; Translations in Polyadic Predicate Logic; etc.

(**10270** views)

**Algebraic Logic**

by **H. Andreka, I. Nemeti, I. Sain** , **2003**

Part I of the book studies algebras which are relevant to logic. Part II deals with the methodology of solving logic problems by (i) translating them to algebra, (ii) solving the algebraic problem, and (iii) translating the result back to logic.

(**9628** 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.

(**13895** views)

**A Concise Introduction to Mathematical Logic**

by **Wolfgang Rautenberg** - **Springer** , **2009**

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.

(**16398** views)

**Introduction to Mathematical Logic: A problem solving course**

by **Arnold W. Miller** - **arXiv** , **1996**

This is a set of questions written for a 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; etc.

(**7484** views)

**The Algebra of Logic**

by **Louis Couturat** - **Project Gutenberg** , **2004**

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.

(**6036** views)

**The Haskell Road to Logic, Maths and Programming**

by **Kees Doets, Jan van Eijck** - **College Publications** , **2004**

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.

(**10454** views)

**Formal Logic**

- **Wikibooks** , **2009**

An undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs. The first rules of formal logic were written over 2300 years ago by Aristotle and are still vital.

(**8875** views)

**Introduction to Mathematical Philosophy**

by **Bertrand Russell** - **University of Massachusetts Amherst** , **2009**

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.

(**8250** views)

**Introduction to Logic**

by **Michal Walicki** - **University of Bergen** , **2006**

This text is an introduction to mathematical logic: the compendium with the whole syllabus and an extensive section on the history of logic. The author covers the basic set theory, Turing machines, statement logic, and predicate logic.

(**12283** views)

**Mathematical Logic**

by **Stephen G. Simpson** - **Pennsylvania State University** , **2013**

Lecture notes for all mathematics graduate students. The text covers propositional calculus, predicate calculus, proof systems, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.

(**9836** views)

**Logic For Everyone**

by **Robert A. Herrmann** , **2006**

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.

(**9769** views)

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

by **P.D. Magnus** , **2008**

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.

(**12869** views)

**Predicative Arithmetic**

by **Edward Nelson** - **Princeton Univ Pr** , **1987**

The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.

(**11173** views)

**A Problem Course in Mathematical Logic**

by **Stefan Bilaniuk** , **2003**

An introduction to mathematical logic for undergraduates. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is to learn the material by solving the problems.

(**13585** views)

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