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 …

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.

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. …

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 …

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 …

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 …

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 logic, first of all, is a formal language. That means, it has a certain vocabulary, and its expressions are strings from this vocabulary. But not every string is permitted. There are …

Jul 23, 2025 · First-order logic (FOL), also known as first-order predicate logic, is a fundamental formal system used in mathematics, philosophy, computer science, and linguistics for …

First-order predicate logic – first-order logic for short – is the logic of properties of, and relations between, objects and their parts.