Add to ORKGOne is often said to be reasoning well when they are reasoning logically. Many attempts to say what logical reasoning is have been proposed, but one commonly proposed system is first-order classical logic. This Element will examine the basics of first-order classical logic and discuss some surrounding philosophical issues. The first half of the Element develops a language for the system, as well as a proof theory and model theory. The authors provide theorems about the system they developed, such as unique readability and the Lindenbaum lemma. They also discuss the meta-theory for the system, and provide several results there, including proving soundness and completeness theorems. The second half of the Element compares first-order classica...
This textbook provides a concise and self-contained introduction to mathematical logic, with a focus...
When we argue, we often invoke the three classical laws of thought: the law of identity, the law of ...
In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to the...
For anybody schooled in modern logic, first-order logic can seem an entirely natural object of study...
[From introductory section] Typically, a logic consists of a formal or informal language together wi...
This chapter explores the role of classical logic as a theory of human reasoning. I distinguish betw...
Abstract. First-order logic enjoys a nearly universal status as the language in which mathematics is...
In this paper we define computationally well-behaved versions of classical first-order logic and pro...
First-order formalisations are often preferred to propositional ones because they are thought to und...
Abstract Classical logic contains intuitionistic and paraconsistent logics. This study clarifies tha...
This article studies the mathematical properties of two systems that model Aristotle's original syll...
A book which efficiently presents the basics of propositional and predicate logic, van Dalen’s popul...
The subject matter of our considerations here is the concept of classical logic. The author begins w...
This report investigates the question of the universality of classical logic. The approach is to sho...
AbstractWe present a simpler way than usual to deduce the completeness theorem for the second-order ...
This textbook provides a concise and self-contained introduction to mathematical logic, with a focus...
When we argue, we often invoke the three classical laws of thought: the law of identity, the law of ...
In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to the...
For anybody schooled in modern logic, first-order logic can seem an entirely natural object of study...
[From introductory section] Typically, a logic consists of a formal or informal language together wi...
This chapter explores the role of classical logic as a theory of human reasoning. I distinguish betw...
Abstract. First-order logic enjoys a nearly universal status as the language in which mathematics is...
In this paper we define computationally well-behaved versions of classical first-order logic and pro...
First-order formalisations are often preferred to propositional ones because they are thought to und...
Abstract Classical logic contains intuitionistic and paraconsistent logics. This study clarifies tha...
This article studies the mathematical properties of two systems that model Aristotle's original syll...
A book which efficiently presents the basics of propositional and predicate logic, van Dalen’s popul...
The subject matter of our considerations here is the concept of classical logic. The author begins w...
This report investigates the question of the universality of classical logic. The approach is to sho...
AbstractWe present a simpler way than usual to deduce the completeness theorem for the second-order ...
This textbook provides a concise and self-contained introduction to mathematical logic, with a focus...
When we argue, we often invoke the three classical laws of thought: the law of identity, the law of ...
In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to the...