# Formal System

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## Formal System

an uninterpreted calculus such that (1) the class of its expressions, or formulas, is usually defined inductively through the specification of primitive (elementary, atomic) formulas and rules for the formation (construction) of formulas and (2) the subclass of provable formulas (theorems) is defined through the specification of a system of axioms and of rules for the derivation of theorems from axioms and already proved theorems (seeRULE OF INFERENCE).

The term “formal system” has many synonyms, which, however, are sometimes used to refer to concepts related to, but not identical with, formal systems. Examples of these synonyms are “formal theory,” “formal mathematics,” “formalism,” “formal calculus,” “abstract calculus,” “syntactic system,” “axiomatic system,” “logistic system,” “formal language,” “formal logic,” “codification,” and “deductive system.”

References in periodicals archive ?
By formal theory I am referring to our consensual and often written accounts.
As a result of this argument, understandings of both formal theory and informal theory development are the result of ongoing reappraisal based on continuous, rigorous assessment.
Although the popular approach to incentives is broader than that found in formal theory, even at its most expansive it is insufficient to stand on its own.
It is almost 700 pages long (including the notes), and, though Piketty does not spend much time on formal theory, he is not beyond sprinkling an occasional equation or Greek letters throughout the text.
A formal theory is well-developed and is useful to predict behavior or outcomes.
It was a classic case of old-style, real-world experience meeting new-style, formal theory and neither side having a clue what the other had to offer.
Joanne Idowu, a student health visitor at the University of Chester, asked the panel why there is no formal theory on child development in the health visiting programme and whether there is any scope for it to become a core module.
We believe that although formal theory can be generated directly from the data, it is more desirable, and usually necessary, to start the formal theory from a substantive one.
The more recent impact of academia on formal theory is only partly reflected in the volume as a whole.
Graduate students and academics developing substantive or formal theory from present indigenous voices and archival materials, can use the discussion in Stalking Words to direct Classic Grounded Theory (GT) investigations.
The Military Lens begins in the realm of political science, developing a formal theory of doctrinal difference.
of Kansas) launched the modern formal theory of monetary and financial aggregation for consumer demand in a 1980 paper, and expanded it to firm demand and financial intermediary supply in 1987.

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