The main objects of study of mathematical logic are mathematical theories such as set theory, number theory, and the theory of algebraic structures such as groups, rings, fields, algebraically closed fields, etc., with the aim to develop tools to examine their consistency, completeness, and other similar questions concerning the foundation of these theories. In this chapter we take the first step toward logic and precisely define the notion of a firstorder theory.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2008). Syntax of First-Order Logic. In: A Course on Mathematical Logic. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-76277-7_1
Download citation
DOI: https://doi.org/10.1007/978-0-387-76277-7_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-76275-3
Online ISBN: 978-0-387-76277-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)