Then there is no good way of even " expressing " in this metatheory what satisfaction of second-order induction in a ( class ) model, or isomorphism of two ( class ) models, means.
32.
"' George Ritzer "'( born October 14, 1940 ) is an American sociologist, professor, and author who studies globalization, metatheory, patterns of rationalization through the lens of the fast food industry.
33.
He pursued his Indological investigations, increasingly dealing with Buddhist thought, and continued with more general work on the metatheory of consciousness, psychology, semiotics and philosophy in general, while collaborating with various Russian philosophers and thinkers outside of Indology.
34.
The work of Leibniz, Peirce, and Nicod is innocent of metatheory, as they wrote before Emil Post's landmark 1920 paper ( which " LoF " cites ), proving that sentential logic is complete, and before models.
35.
Also, it will usually be true that the proof of independence is carried out in a metatheory rather than the theory at hand, as others have pointed out above . & mdash; Carl ( talk ) 13 : 46, 5 November 2009 ( UTC)
36.
Usually, primitive recursive arithmetic can be adopted as the metatheory in question, but even if the metatheory is " ZFC " ( for Ernst Zermelo and Abraham Fraenkel with Zermelo's axiom of choice ) or an extension of it, the notion is meaningful.
37.
Usually, primitive recursive arithmetic can be adopted as the metatheory in question, but even if the metatheory is " ZFC " ( for Ernst Zermelo and Abraham Fraenkel with Zermelo's axiom of choice ) or an extension of it, the notion is meaningful.
38.
Using a sociology-of-knowledge approach, he applied the same perspective to the study of international affairs in " International Relations Theory : Competing Empirical Paradigms " ( 2016 ) and to political sicnece in " Political Science Revitalized : Filling the Jigsaw Puzzle with Metatheory " ( 2017 ) ..
39.
Kleene requires that the methods of a metatheory ( at least for the purposes of metamathematics ) be finite, conceivable, and performable; these methods cannot appeal to the completed infinite . " Proofs of existence shall give, at least implicitly, a method for constructing the object which is being proved to exist . " ( p . 64)
40.
The usual set of axioms of set theory is called ZFC . When a set theoretic statement A is said to be equiconsistent to another B, what is being claimed is that in the metatheory ( Peano Arithmetic in this case ) it can be proven that the theories " ZFC + A " and " ZFC + B " are equiconsistent.
