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2. Predicate (mathematical logic) - Wikipedia

   en.wikipedia.org/wiki/Predicate_(mathematical_logic)

   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.

3. First-order logic - Wikipedia

   en.wikipedia.org/wiki/First-order_logic

   A predicate symbol (or relation symbol) with some valence (or arity, number of arguments) greater than or equal to 0. These are often denoted by uppercase letters such as P, Q and R. Examples: In P(x), P is a predicate symbol of valence 1. One possible interpretation is "x is a man". In Q(x,y), Q is a predicate symbol of

4. List of logic symbols - Wikipedia

   en.wikipedia.org/wiki/List_of_logic_symbols

   The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [1] and the LaTeX symbol.

5. Predicate variable - Wikipedia

   en.wikipedia.org/wiki/Predicate_variable

   In mathematical logic, a predicate variable is a predicate letter which functions as a ... Common symbols for denoting predicate variables include capital roman ...

6. Well-formed formula - Wikipedia

   en.wikipedia.org/wiki/Well-formed_formula

   In mathematical logic, propositional logic and predicate logic, a well-formed formula, abbreviated WFF or wff, often simply formula, is a finite sequence of symbols from a given alphabet that is part of a formal language.

7. Existential quantification - Wikipedia

   en.wikipedia.org/wiki/Existential_quantification

   In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least one", or "for some". It is usually denoted by the logical operator symbol ∃, which, when used together with a predicate variable, is called an existential quantifier (" ∃x" or "∃(x)" or ...

8. Interpretation (logic) - Wikipedia

   en.wikipedia.org/wiki/Interpretation_(logic)

   The signature consists of a set of non-logical symbols and an identification of each of these symbols as either a constant symbol, a function symbol, or a predicate symbol. In the case of function and predicate symbols, a natural number arity is also assigned. The alphabet for the formal language consists of logical constants, the equality ...

9. Logical constant - Wikipedia

   en.wikipedia.org/wiki/Logical_constant

   The equality predicate (usually written '=') is also treated as a logical constant in many systems of logic. One of the fundamental questions in the philosophy of logic is "What is a logical constant?"; [1] that is, what special feature of certain constants makes them logical in nature? [2] Some symbols that are commonly treated as logical ...