# Predicate Logic System

A Predicate Logic System is a Formal Logic System that deals with finding logical relations between sentences in which predicates are distributed through ranges of subjects by means of quantifiers.

## References

### 2009b

• (Wiktionary, 2009) ⇒ http://en.wiktionary.org/wiki/predicate_calculus
• QUOTE: (logic) The branch of logic that deals with quantified statements such as "there exists an x such that..." or "for any x, it is the case that...", where x is a member of the domain of discourse.

### 2009c

• (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Predicate_logic
• In mathematical logic, predicate logic is the generic term for symbolic formal systems like first-order logic, second-order logic, many-sorted logic or infinitary logic. This formal system is distinguished from other systems in that its formulas contain variables which can be quantified. Two common quantifiers are the existential ∃ and universal ∀ quantifiers. The variables could be elements in the universe, or perhaps relations or functions over the universe. For instance, an existential quantifier over a function symbol would be interpreted as modifier "there is a function".
• In informal usage, the term "predicate logic" occasionally refers to first-order logic. Some authors consider the predicate calculus to be an axiomatized form of predicate logic, and the predicate logic to be derived from an informal, more intuitive development. [1]