forall x: An Introduction to Formal Logic

An open access introductory textbook in formal logic. It covers translation, proofs, and formal semantics for sentential and predicate logic.

**Tag(s):**
Formal Methods
Logic Programming

**Publication date**: 06 Jan 2012

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
160 pages

**Views**: 4,619

**Type**: Textbook

**Publisher**:
Lulu.com

**License**:
Creative Commons Attribution-ShareAlike 3.0 Unported

**Post time**: 06 May 2017 11:00:00

forall x: An Introduction to Formal Logic

An open access introductory textbook in formal logic. It covers translation, proofs, and formal semantics for sentential and predicate logic.

You are free to:

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click**here** to read the full license.

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click

From the Introduction:

P.D. Magnum wrote:forall x is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading.

This books treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven.

Throughout the book, I have tried to highlight the choices involved in developing sentential and predicate logic. Students should realize that these two are not the only possible formal languages. In translating to a formal language, we simplify and profit in clarity. The simplification comes at a cost, and different formal languages are suited to translating different parts of natural language.

The book is designed to provide a semester's worth of material for an introductory college course. It would be possible to use the book only for sentential logic, by skipping chapters 4-5 and parts of chapter 6.

Tweet

About The Author(s)

P.D. Magnus (@news4wombats) is Professor and Department Chair in the Department of Philosophy at the University at Albany. His primary research is in the philosophy of science, motivated by a fallibilist but non-sceptical conception of scientific knowledge. He has published on underdetermination, scientific realism, and natural kinds; also on related issues in the history of philosophy, social epistemology, and art ontology. He is the author of Scientific Enquiry and Natural Kinds: From Planets to Mallards (2012) as well as dozens of articles. A complete list of his publications is available on his website.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Microsoft .NET
Rexx
Perl
PHP
Python
R
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors