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metatheory
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{{Otheruses4|theories about theories|the concept in logic|Metatheorem}}A metatheory or meta-theory is a theory whose (wikt:subject matter|subject matter) is some theory. All fields of research share some meta-theory, regardless whether this is explicit or correct. In a more restricted and specific sense, in mathematics and mathematical logic, metatheory means a mathematical theory about another mathematical theory.The following is an example of a meta-theoretical statement:{{according to whom|date=April 2017}}Meta-theoretical investigations are generally part of the philosophy of science. Also a metatheory is an object of concern to the area in which the individual theory is conceived.

Taxonomy

Examining groups of related theories, a first finding may be to identify classes of theories, thus specifying a taxonomy of theories.

Psychology

Use of metatheory to "provide a rich source of concepts out of which theories and methods emerge"https://www.researchgate.net/publication/284564323_Meta-theories_theories_and_concepts_in_the_study_of_development.

Social Research (Management studies, industrial marketing, purchasing research etc.)

Found to be "infrequently discussed by management scholars and researchers (Tsoukas, 1994) and almost altogether neglected (Fleetwood, 2007b)"An object of analysis within management sub-fields of study: arguments in favor of the epistemological suitability of case research, and examinations of postmodernist onontological and epistemological or realist perspective (e.g., Jones & Bos,2007;Westwood & Clegg, 2003). Reflections on theory include the Academy of Management Review’s 1989 and 1999 fora on‘‘theory building and improving’’ and ‘‘theory testing’’ (Langley, 1999;Poole & Van de Ven, 1989;Tsang & Kwan, 1999;Van de Ven, 1989;Weick,1989; e.g., Weick, 1999;Whetten, 1989) and a forum on ‘‘what theory isnot’’ (DiMaggio, 1995;Sutton & Staw, 1995;Weick, 1995) and Astley’s(1985) paper in the Administrative Science Quarterlweblink

In mathematics

Introduced in 20th-century philosophy as a result of the work of the German mathematician David Hilbert, who in 1905 published a proposal for proof of the consistency and completeness of mathematics, creating the field of metamathematics. His hopes for the success of this proof were dashed by the work of Kurt Gödel, who in 1931, used his incompleteness theorems to prove this goal of consistency and completeness to be unattainable. Nevertheless, his program of unsolved mathematical problems, out of which grew this metamathematical proposal, continued to influence the direction of mathematics for the rest of the 20th century.The study of metatheory became widespread during the rest of that century by its application in other fields, notably scientific linguistics and its concept of metalanguage.A Metatheorem is defined as: "a statement about theorems. It usually gives a criterion for getting a new theorem from an old one, either by changing its objects according to a rule" known as the duality law or duality principle or by transferring it to another area (from the theory of categories to the theory of groups) or to another context within the same area (from linear transformations to matrices)Barile, Margherita. "Metatheorem." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.weblink

Sociologyweblink four types of metatheoretical work: including metatheorizing in order to better understand theory (Mu).

See also

References

External links

    • weblink" title="web.archive.org/web/20030907103204weblink">Meta-theoretical Issues (2003), Lyle Flint


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