-
metalogic concerns the
truths that may be
derived about the
languages and
systems that are used to
express truths. The
basic objects of
metalogical study...
-
proving in first-order logic. First-order
logic also
satisfies several metalogical theorems that make it
amenable to
analysis in
proof theory, such as the...
- more
general use of a
metalogic or
metalanguage to
describe and
reason about another language,
called the
object language.
Metalogic programming allows object-level...
- In
logic and mathematics, second-order
logic is an
extension of first-order logic,
which itself is an
extension of
propositional logic. Second-order logic...
- P\Leftrightarrow P}
Where " ⇔ {\displaystyle \Leftrightarrow } " is a
metalogical symbol representing "can be
replaced in a
logical proof with". Theorems...
- {\displaystyle P\vdash (P\lor Q)}
where ⊢ {\displaystyle \vdash } is a
metalogical symbol meaning that P ∨ Q {\displaystyle P\lor Q} is a
syntactic consequence...
- R)\Leftrightarrow (P\to (Q\to R))}
Where " ⇔ {\displaystyle \Leftrightarrow } " is a
metalogical symbol representing "can be
replaced in a
proof with." In
strict terminology...
- ISBN 978-1-351-38697-5. Corcoran, John (2007). "Notes on the
Founding of
Logics and
Metalogic: Aristotle, Boole, and Tarski". In Martínez, Concha; Falguera, José L...
- Q\Leftrightarrow \neg P\lor Q,}
where " ⇔ {\displaystyle \Leftrightarrow } " is a
metalogical symbol representing "can be
replaced in a
proof with", P and Q are any...
-
counterpart of Gödel's
incompleteness theorem of
metalogic, as well as Löb's theorem, and
other metalogical results in
terms of belief. To
demonstrate the...
