A quantifier specifies the quantity of something, often used in logic and linguistics to indicate 'all', 'some', 'none', or 'many'.…
A proposition is a declarative statement that is either true or false. It forms the basic building block of logical…
Yablo's paradox, an infinite sequence of sentences each claiming all subsequent sentences are false. It avoids self-reference, posing unique challenges…
A well-formed formula (WFF) is a syntactically correct expression in a formal language. It adheres to the established rules, ensuring…
A vacuous quantifier is a logical operator that does not bind any variables within its scope. An example is the…
The upward Löwenheim–Skolem theorem states that if a first-order theory has an infinite model, it has models of arbitrarily large…
A universal variable, bound by a universal quantifier (∀), represents any and all individuals within the domain of discourse in…
A universal proposition in logic makes a claim about every single member of a specific group or category. It's a…
A mathematical logic and computer science framework using types to classify expressions and objects, preventing paradoxes by organizing into hierarchies…
Topos theory studies categories resembling the category of sets, forming a foundation for mathematics. It enables generalized concepts of computation…