-
prove particular sentences of the
formal language with that system.
Metatheorems, however, are
proved externally to the
system in question, in its metatheory...
-
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...
- In
mathematical logic, a
deduction theorem is a
metatheorem that
justifies doing conditional proofs from a
hypothesis in
systems that do not explicitly...
-
stratifying out use and mention,
language and metalanguage, and
theorem and
metatheorem predate key
discoveries in
western philosophy by millennia." "The Sanskrit...
- 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...
-
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...
- Gödel's
completeness theorem is a
fundamental theorem in
mathematical logic that
establishes a
correspondence between semantic truth and
syntactic provability...
