-
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...
- Q)\Leftrightarrow (Q\land P)}
where " ⇔ {\displaystyle \Leftrightarrow } " is a
metalogical symbol representing "can be
replaced in a
proof with". Commutativity...
-
heavily on
abstract mathematical reasoning when
examining and
formulating metalogical proofs. This way, they aim to
arrive at
precise and
general conclusions...
-
philosophy of
logic and
philosophical logic differently or not at all.
Metalogic is
closely related to the
philosophy of
logic as the
discipline investigating...
-
decimal places that a
number is
given to
Disjunction property, a
typical metalogical property of
intuitionistic theories Drinker's paradox, a
theorem of classical...
-
languages and
systems that are used to
express truths. The
basic objects of
metalogical study are
formal languages,
formal systems, and
their interpretations...
-
texts ⇔ is used with this meaning,
while ≡ is used for the higher-level
metalogical notion of
logical equivalence,
according to
which two
formulas are logically...
