Metalogic is the metatheory of logic. Whereas logic studies how logical systems can be used to construct valid and sound arguments, metalogic studies...
11 KB (1,389 words) - 02:05, 5 June 2024
Shareholders" (PDF). Retrieved 24 March 2022. "Home - Metalogic Inspection Services". Metalogic Inspection Services. Retrieved 30 June 2017. "Consultancy...
9 KB (650 words) - 18:46, 13 August 2024
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...
84 KB (10,723 words) - 16:14, 26 August 2024
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...
11 KB (1,236 words) - 00:20, 28 May 2024
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...
24 KB (2,084 words) - 23:23, 8 July 2024
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...
7 KB (717 words) - 00:50, 22 April 2024
relating to the metalogic of reference 1989–2011, studies relating to clinical psychology 2012- , further work relating to the metalogic of reference Beginning...
49 KB (5,371 words) - 05:05, 31 July 2024
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...
51 KB (7,745 words) - 17:38, 4 August 2024
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...
8 KB (1,321 words) - 12:19, 1 January 2024
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...
31 KB (3,880 words) - 14:38, 28 July 2024
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...
4 KB (448 words) - 20:06, 19 April 2024
Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
56 KB (7,842 words) - 11:17, 30 August 2024
Putnam, Gregory Chaitin, Alfred Tarski, Paul Cohen and Kurt Gödel. Today, metalogic and metamathematics broadly overlap, and both have been substantially...
13 KB (1,666 words) - 20:35, 31 August 2024
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...
212 KB (35,008 words) - 11:58, 30 August 2024
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...
16 KB (1,894 words) - 23:46, 19 June 2024
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...
13 KB (1,997 words) - 21:48, 2 November 2023
Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
11 KB (1,339 words) - 09:33, 2 September 2024
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...
17 KB (1,896 words) - 00:32, 16 May 2024
\vdash } \vdash turnstile syntactically entails (proves) metalanguage (metalogic) A ⊢ B {\displaystyle A\vdash B} says “ B {\displaystyle B} is a theorem...
25 KB (229 words) - 17:18, 6 September 2024
world has to conform.": 37 Mathematics portal Applied mathematics Logic Metalogic Metamathematics "Pure Mathematics". University of Liverpool. Retrieved...
15 KB (1,800 words) - 01:04, 14 April 2024
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...
5 KB (722 words) - 19:20, 8 August 2024
work titled Metalogic: An Introduction to the Metatheory of Standard First-Order Logic, published in 1971. Hunter, Geoffrey (1971). "Metalogic: An Introduction...
3 KB (231 words) - 13:57, 16 October 2023
science, in particular in knowledge representation and reasoning and metalogic, the area of automated reasoning is dedicated to understanding different...
14 KB (1,352 words) - 14:24, 5 September 2024
Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
5 KB (504 words) - 21:38, 13 February 2024
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...
32 KB (4,399 words) - 12:11, 1 July 2024
Syntax (logic) (category Metalogic)
languages) Mathematical logic Well-formed formula Dictionary Definition Metalogic, Geoffrey Hunter Dummett, M. (1981). Frege: Philosophy of Language. Harvard...
10 KB (1,004 words) - 15:12, 23 March 2024
philosophy of logic and philosophical logic differently or not at all. Metalogic is closely related to the philosophy of logic as the discipline investigating...
97 KB (11,673 words) - 16:51, 21 August 2024
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...
93 KB (13,125 words) - 05:46, 7 September 2024
Logics Classical Informal Critical thinking Reason Mathematical Non-classical Philosophical Theories Argumentation Metalogic Metamathematics Set...
27 KB (2,930 words) - 19:54, 26 August 2024