-
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...
-
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...
-
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
mathematical logic, a
deduction theorem is a
metatheorem that
justifies doing conditional proofs from a
hypothesis in
systems that do not explicitly...
- Gödel's
incompleteness theorems are two
theorems of
mathematical logic that are
concerned with the
limits of
provability in
formal axiomatic theories....
- 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...
- Corcoran, John, and H****an Masoud. 2015. "Existential
Import Today: New
Metatheorems; Historical, Philosophical, and
Pedagogical Misconceptions." History...
- this fact, or more
properly speaking, a metaproof.
These examples are
metatheorems of our
theory of
mathematical logic since we are
dealing with the very...
- theories.
Statements made in the
metatheory about the
theory are
called metatheorems. A
political theory is an
ethical theory about the law and government...
