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Logic - Wikipedia, the free encyclopedia (3434 words) |
 | The ambiguity is that "formal logic" is very often used with the alternate meaning of symbolic logic as we have defined it, with informal logic meaning any logical investigation that does not involve symbolic abstraction; it is this sense of 'formal' that is parallel to the received usages coming from "formal languages" or "formal theory". |
| The discovery of predicate logic is usually attributed to Gottlob Frege, who is also credited as one of the founders of analytical philosophy, but the formulation of predicate logic most often used today is the first-order logic presented in Principles of Theoretical Logic by David Hilbert and Wilhelm Ackermann in 1928. |
| The analytical generality of the predicate logic allowed the formalisation of mathematics, and drove the investigation of set theory, allowed the development of Alfred Tarski's approach to model theory; it is no exaggeration to say that it is the foundation of modern mathematical logic. |
| Predicate calculus - Wikipedia, the free encyclopedia (109 words) |
| In mathematical logic the predicate calculus, predicate logic or calculus of propositional functions is a formal system used to describe mathematical theories. |
| The predicate calculus is an extension of propositional calculus, which is inadequate for describing more complex mathematical structures. |
| A subject is a name for a member of a given group of individuals (a set) and a predicate is a relation on this group. |
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