Metalogic is the metatheory of logic. Whereas logic studies how logical systems can be used to construct valid and sound arguments, metalogic studies...
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Shareholders" (PDF). Retrieved 24 March 2022. "Home - Metalogic Inspection Services". Metalogic Inspection Services. Retrieved 30 June 2017. "Consultancy...
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Metatheory (section Metalogic)
arguments, metalogic studies the properties of logical systems. Logic concerns the truths that may be derived using a logical system; metalogic concerns...
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Logic programming (redirect from Metalogic programming)
more general use of a metalogic or metalanguage to describe and reason about another language, called the object language. Metalogic programming allows object-level...
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Completeness (logic) (category Metalogic)
In mathematical logic and metalogic, a formal system is called complete with respect to a particular property if every formula having the property can...
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Effective method (category Metalogic)
In logic, mathematics and computer science, especially metalogic and computability theory, an effective method or effective procedure is a procedure for...
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Outline of logic (section Metalogic)
Intuitionistic logic Linear logic Many-valued logic Mathematical logic Metalogic Minimal logic Modal logic Non-Aristotelian logic Non-classical logic Noncommutative...
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definitions are usually introduced using extension by definition (so using a metalogic). On the other hand, lambda-calculi are a kind of logic where the definitions...
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Intuitionistic logic (section Metalogic)
Intuitionistic logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical...
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work titled Metalogic: An Introduction to the Metatheory of Standard First-Order Logic, published in 1971. Hunter, Geoffrey (1971). "Metalogic: An Introduction...
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Kripke–Platek set theory (section Metalogic)
The Kripke–Platek set theory (KP), pronounced /ˈkrɪpki ˈplɑːtɛk/, is an axiomatic set theory developed by Saul Kripke and Richard Platek. The theory can...
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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...
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Putnam, Gregory Chaitin, Alfred Tarski, Paul Cohen and Kurt Gödel. Today, metalogic and metamathematics broadly overlap, and both have been substantially...
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\vdash } \vdash turnstile syntactically entails (proves) metalanguage (metalogic) A ⊢ B {\displaystyle A\vdash B} says “ B {\displaystyle B} is a theorem...
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formulas, while ⇔ is used in reasoning about those logic formulas (e.g., in metalogic). In Łukasiewicz's Polish notation, it is the prefix symbol E {\displaystyle...
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world has to conform.": 37 Mathematics portal Applied mathematics Logic Metalogic Metamathematics "Pure Mathematics". University of Liverpool. Retrieved...
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Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
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Constructive set theory (section Metalogic)
constructive arithmetic theories. These are features of a fixed theory which metalogically relate judgements of propositions provable in the theory. Particularly...
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Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
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Type–token distinction (category Metalogic)
The distinction is important in disciplines such as logic, linguistics, metalogic, typography, and computer programming. The type–token distinction separates...
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Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
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science, in particular in knowledge representation and reasoning and metalogic, the area of automated reasoning is dedicated to understanding different...
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First-order logic (section Metalogical properties)
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...
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relating to the metalogic of reference 1989–2011, studies relating to clinical psychology 2012- , further work relating to the metalogic of reference Beginning...
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Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
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Second-order logic (section Metalogical results)
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...
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Logical consequence (category Metalogic)
Metamathematics (1952), Van Nostrand Publishing. p.88. Hunter, Geoffrey, Metalogic: An Introduction to the Metatheory of Standard First-Order Logic, University...
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Syntax (logic) (category Metalogic)
languages) Mathematical logic Well-formed formula Dictionary Definition Metalogic, Geoffrey Hunter Dummett, M. (1981). Frege: Philosophy of Language. Harvard...
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Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
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