In mathematical logic, a predicate variable is a predicate letter which functions as a "placeholder" for a relation (between terms), but which has not...

where "for all x" is a quantifier, x is a variable, and "... is a man" and "... is mortal" are predicates. This distinguishes it from propositional logic...

Classifying topos Free variables and bound variables Multigrade predicate Opaque predicate Predicate functor logic Predicate variable Truthbearer Truth value...

{\displaystyle \gamma } . Propositional variables with no object variables such as x and y attached to predicate letters such as Px and xRy, having instead...

domain. It asserts that a predicate within the scope of a universal quantifier is true of every value of a predicate variable. It is usually denoted by...

by the logical operator symbol ∃, which, when used together with a predicate variable, is called an existential quantifier ("∃x" or "∃(x)" or "(∃x)"). Existential...

replacing the name with a variable and attaching a quantifier: ∃x Cube(x) However, we cannot do the same with the predicate. That is, the following expression:...

symbol and x {\displaystyle x} is a variable. Monadic predicate calculus can be contrasted with polyadic predicate calculus, which allows relation symbols...

symbols.) This schema states (in one form), for any functional predicate F in one variable: ∀ A , ∃ B , ∀ C , C ∈ A → F ( C ) ∈ B . {\displaystyle \forall...

first-order predicate is a predicate that takes only individual(s) constants or variables as argument(s). Compare second-order predicate and higher-order...