First-order logic is the standard for the formalization of mathematics into axioms, and is studied in the foundations of mathematics. Peano arithmetic and Zermelo–Fraenkel set theory are axiomatizations …

Problem Set Two goes out today. It’s due next Friday at 2:30PM. Explore first-order logic, and expand your proofwriting repertoire. We have some online readings for this problem set. Check out the Guide …

Aug 22, 2025 · By building on propositional logic and adding quantifiers and predicates, FOL allows us to express more complex relationships and make decisions based on logical reasoning.

The second dialect of logic, first-order logic (FOL), is more expressive than propositional logic and uses objects as its basic components. With first-order logic we can describe relationships between objects …

Mar 18, 2024 · In this tutorial, we’ll study the foundation of first-order logic and become accustomed to its theoretical and conceptual bases. We’ll first start by studying the relationship between natural and …

Jun 15, 2025 · First-Order Logic (FOL), also known as predicate logic or first-order predicate calculus, is a formal system used to express logical statements in a rigorous and unambiguous way. It is a …

First-order logic is a bag of tools for studying the validity of arguments. At base it consists of a family of mathematically defined languages called first-order languages.

The basic building blocks—the vocabulary—of first-order logic divides into two parts. The first part is the symbols we use to say specific things or to pick out specific things. We pick out things using constant …

Jan 19, 2023 · First-order logic (FOL) refers to logic in which the predicate of a sentence or statement can only refer to a single subject. It is also known as first-order predicate calculus or first-order …

Aug 16, 2017 · In propositional logic, we considered formulas made about atomic objects, which could only be either true or false. First-order logic, the topic of this chapter, builds upon propositional logic …