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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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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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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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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Formal system (category Metalogic)
Formal Semantics and Logic (PDF). Nousoul Digital Publishers. p. 12. Metalogic can in turn be roughly divided into two parts: proof theory and formal...
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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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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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philosophy of logic and philosophical logic differently or not at all. Metalogic is closely related to the philosophy of logic as the discipline investigating...
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Effective method (category Metalogic)
In metalogic, mathematical logic, and computability theory, an effective method or effective procedure is a finite-time, deterministic procedure for solving...
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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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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...
66 KB (7,293 words) - 05:38, 29 May 2025
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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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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94% interest) NV Energy - electricity and natural gas in most of Nevada Metalogic Inspections Services - Oil and Gas, Electricity generation, Fabrication...
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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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Logical consequence (category Metalogic)
(1952), Van Nostrand Publishing. p.88. Hunter, Geoffrey (1996) [1971]. Metalogic: An Introduction to the Metatheory of Standard First-Order Logic. University...
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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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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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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...
10 KB (1,361 words) - 18:34, 31 March 2025
Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
70 KB (8,482 words) - 14:47, 23 May 2025
Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
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{\displaystyle \equiv } 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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In metalogic and metamathematics, Frege's theorem is a metatheorem that states that the Peano axioms of arithmetic can be derived in second-order logic...
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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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science, in particular in knowledge representation and reasoning and metalogic, the area of automated reasoning is dedicated to understanding different...
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Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
24 KB (2,737 words) - 06:28, 27 April 2025
Syntax (logic) (category Metalogic)
Well-formed formula Dictionary Definition Hunter, Geoffrey (1996) [1971]. Metalogic: An Introduction to the Metatheory of Standard First-Order Logic. University...
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Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
155 KB (19,219 words) - 11:42, 13 May 2025