Intersectionality in Predicate Logic

stackexchange.com

https://math.stackexchange.com/questions/2820385/d…

Does ∧ still mean intersection when using predicate logic?

If you're interpreting predicates as sets, then the fact a proposition is a nullary predicate means that you can interpret "false" as being the empty set and "true" as being a specified one-element set, and then $\wedge$ will once again be interpreted as intersection.

stonybrook.edu

https://www3.cs.stonybrook.edu/~cse541/PredLogicIn…

Predicate Logic - Stony Brook University

We use truth sets for predicates in a set X ≠ φ to define an intuitive semantics for predicate logic. Truth set for conjunction (P(x) ∧ Q(x)) is the set intersection of truth sets for its components. Truth set for disjunction (P(x) ∨ sets for its components. A(x) is a formula (complex) with free variable x.

manchester.ac.uk

https://personalpages.manchester.ac.uk/staff/mike.…

Predicate Logic - University of Manchester

In the case of propositional logic there was essentially just one language: in the case of predicate logic there are many, in the sense that when defining any such language one has to make a choice from certain possible ingredients.

stanford.edu

https://web.stanford.edu/class/archive/cs/cs103/cs…

Mathematical Logic - Stanford University

Applying a predicate to arguments produces a proposition, which is either true or false. Typically, when you’re working in FOL, you’ll have a list of predicates, what they stand for, and how many arguments they take. It’ll be given separately than the formulas you write.

libretexts.org

https://math.libretexts.org/Bookshelves/Combinator…

8.2: Predicate logic - Mathematics LibreTexts

One powerful feature of predicate logic is the ability to make grandiose statements about many things at once. Suppose we did want to claim that every state had a governor.

uwaterloo.ca

https://cs.uwaterloo.ca/~a23gao/cs245_f19/slides/l…

Predicate Logic: Introduction and Translations

We can use predicate logic (first-order logic) to express all of these. Would you really use predicate logic? Every well-formed formula has an equal number of left and right brackets. If there does not exist a formal deduction proof from the premises to the conclusion, then the premises do not logically imply the conclusion.

brilliant.org

https://brilliant.org/wiki/predicate-logic/

Predicate Logic | Brilliant Math & Science Wiki

We'll see how one could express several ideas of quantity involving natural numbers using predicate logic, namely we will express that there are at least n, at most n, or exactly n things satisfying the predicate.

wikipedia.org

https://en.wikipedia.org/wiki/Predicate_(logic)

Predicate (logic) - Wikipedia

In logic, a predicate is a non-logical symbol that represents a property or a relation, though, formally, does not need to represent anything at all. For instance, in the first-order formula , the symbol is a predicate that applies to the individual constant which evaluates to either true or false.

theoreticalinsights.com

https://theoreticalinsights.com/2025/03/24/introdu…

Introduction to Predicate Logic – Theoretical Insights

Predicate logic (also known as first-order logic) extends propositional logic by enabling precise expressions involving objects, their properties, and relationships between them.

washington.edu

https://faculty.washington.edu/conormw/Teaching/Fi…

A Somewhat Quick Introduction to Predicate Logic

Very simple English sentences contains two parts: a subject and a predicate. The subject is a noun-phrase, which describes a person, place or thing. The predicate is a verb-phrase, which describes what the subject did, is doing, or will do.