Definition of Metatheorems. Meaning of Metatheorems. Synonyms of Metatheorems

Here you will find one or more explanations in English for the word Metatheorems. Also in the bottom left of the page several parts of wikipedia pages related to the word Metatheorems and, of course, Metatheorems synonyms and on the right images related to the word Metatheorems.

Definition of Metatheorems

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Meaning of Metatheorems from wikipedia

- Statements made in the metatheory about the theory are called metatheorems. A metatheorem is a true statement about a formal system expressed in a metalanguage...
- prove particular sentences of the formal language with that system. Metatheorems, however, are proved externally to the system in question, in its metatheory...
- axiomatisation using an extra rule of generalisation (see the section on Metatheorems), in which case the rules Q6 and Q7 are redundant. The final axiom schemas...
- In mathematical logic, a deduction theorem is a metatheorem that justifies doing conditional proofs from a hypothesis in systems that do not explicitly...
- In classical logic, a hypothetical syllogism is a valid argument form, a deductive syllogism with a conditional statement for one or both of its premises...
- stratifying out use and mention, language and metalanguage, and theorem and metatheorem predate key discoveries in western philosophy by millennia." "The Sanskrit...
- formal system, which, in order to avoid confusion, are usually called metatheorems. A logical system is a deductive system (most commonly first order logic)...
- theories. Statements made in the metatheory about the theory are called metatheorems. A political theory is an ethical theory about the law and government...
- φ0. We also use repeatedly the method of the hypothetical syllogism metatheorem as a shorthand for several proof steps. (1) φ 0 {\displaystyle \varphi...
- In mathematics and computer science, the Entscheidungsproblem (German for 'decision problem'; pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a challenge posed...