Definition of Metalogical. Meaning of Metalogical. Synonyms of Metalogical

Here you will find one or more explanations in English for the word Metalogical. Also in the bottom left of the page several parts of wikipedia pages related to the word Metalogical and, of course, Metalogical synonyms and on the right images related to the word Metalogical.

Definition of Metalogical

Metalogical
Metalogical Met`a*log"ic*al, a. Beyond the scope or province of logic.

Meaning of Metalogical from wikipedia

- 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...
- 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...
- 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...
- languages and systems that are used to express truths. The basic objects of metalogical study are formal languages, formal systems, and their interpretations...
- → Q are statements (or propositions) in a formal language and ⊢ is a metalogical symbol meaning that Q is a syntactic consequence of P and P → Q in some...