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A predicate is a statement or mathematical assertion that contains variables, sometimes referred to as predicate variables, and may be true or false depending on those variables’ value or values. In propositional logic, atomic formulas are sometimes regarded as zero-place predicates. [1] In a sense, these are nullary (i.e. 0-arity) predicates.
[2] Example. In a given propositional logic, a formula can be defined as follows: Every propositional variable is a formula. Given a formula X, the negation ¬X is a formula. Given two formulas X and Y, and a binary connective b (such as the logical conjunction ∧), the expression (X b Y) is a formula. (Note the parentheses.)
The subject (glossing abbreviations: SUB or SU) is, according to a tradition that can be traced back to Aristotle (and that is associated with phrase structure grammars), one of the two main constituents of a clause, the other constituent being the predicate, whereby the predicate says something about the subject. [2] [3] According to a ...
Quantity refers to the number of members of the subject class (A class is a collection or group of things designated by a term that is either subject or predicate in a categorical proposition. [3]) that are used in the proposition. If the proposition refers to all members of the subject class, it is universal.
A secondary predicate is a (mostly adjectival) predicative expression that conveys information about the subject or the object but is not the main predicate of the clause. This structure may be analysed in many different ways. These may be resultative, as in (1) and (2) or descriptive (also called "depictive") as in (3). (1) She painted the ...
In mathematical logic, a second-order predicate is a predicate that takes a first-order predicate as an argument. [1] Compare higher-order predicate . The idea of second order predication was introduced by the German mathematician and philosopher Frege .
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