Definition of Metamathematics. Meaning of Metamathematics. Synonyms of Metamathematics

- categorizing the proposition "'2+2=4' is valid" as belonging to metamathematics. Metamathematical metatheorems about mathematics itself were originally differentiated...
- as a field of study or endeavor (metatheory: theory about a theory; metamathematics: mathematical theories about mathematics; meta-axiomatics or meta-axiomaticity:...
- foundational for formal linguistics, computer science, logic, and metamathematics especially proof theory. A generative grammar can be seen as a recursive...
- the importance of distinguishing carefully between mathematics and metamathematics. Kurt Gödel specifically cites Richard's antinomy as a semantical analogue...
- consistency and completeness of mathematics, creating the topic of metamathematics. His hopes for the success of this proof were disappointed by the work...
- Archived 2013-04-03 at the Wayback Machine S. C. Kleene, Introduction to Metamathematics (1952), Van Nostrand Publishing. p.88. Hunter, Geoffrey (1996) [1971]...
- destro**** the borderline between metamathematics and mathematics. He objected to restricting the role of metamathematics to the foundations of mathematics...
- von Neumann universe (also known as the ****ulative hierarchy). The metamathematics of Zermelo–Fraenkel set theory has been extensively studied. Landmark...
- In logic, a metavariable (also metalinguistic variable or syntactical variable) is a symbol or symbol string which belongs to a metalanguage and stands...
- is that these tiny fragments of set theory give rise to such rich metamathematics. While ST is a small fragment of the well-known canonical set theories...