-
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...
- In
mathematical logic, a
deduction theorem is a
metatheorem that
justifies doing conditional proofs from a
hypothesis in
systems that do not explicitly...
-
formal system, which, in
order to
avoid confusion, are
usually called metatheorems. A
logical system is a
deductive system (most
commonly first order logic)...
- 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...
- φ0. We also use
repeatedly the
method of the
hypothetical syllogism metatheorem as a
shorthand for
several proof steps. (1) φ 0 {\displaystyle \varphi...
- Gödel's
incompleteness theorems are two
theorems of
mathematical logic that are
concerned with the
limits of
provability in
formal axiomatic theories....
-
problems influenced mathematics for the rest of the 20th century. A
metatheorem is
defined as: "a
statement about theorems. It
usually gives a criterion...
- In
mathematics and
computer science, the
Entscheidungsproblem (German for 'decision problem';
pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a
challenge posed...
