What is First-Order Logic? First-order logic is a logical system for reasoning about properties of objects. Augments the logical connectives from propositional logic with predicates objects, …

First-order logic (FOL) allow for objects, relations (predicates) amongst objects, and quantifiers to express properties of many objects without having to explicitly enumerate all objects

What is the case (a fact) is the existence of states of affairs. A logical picture of facts is a thought. A thought is a proposition with a sense. A proposition is a truth-function of elementary …

The semantics of first-order logic provides a mathematically precise model of the philosopher’s intuitive idea of “case,” and also—and this is important—of what it is for a sentence φ to be …

What is first-order logic and what is it good for?

This is a perennial problem: if we think parts of language or thought have logical content, but our current logics cannot express that content, we need new logics. This example, and many …

The goal of this brief introduction to First-Order Logic is to illustrate and summarise some of the basic concepts of this language and to show how it is applied to fields like Group Theory and …