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metalogic
metalogic (mɛtəˈlɒdʒɪk) [f. meta- + logic.] The part of metaphysics which relates to the foundations of logic. See also quots. 1936, 1937.1842 Thomson Outl. Laws Th. Introd. 23 Only according to our view it is not Logic. Let it be called by an old name, Metalogic, or what its constructors will. 1878... Oxford English Dictionary
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Metalogic
Metalogic is the study of the metatheory of logic. This article is about metalogic. wikipedia.org
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metalogician
metaloˈgician [f. metalogic: see -ician.] One who is versed in metalogic.1902 R. R. Marett in H. Sturt Personal Idealism v. 237 A condition of existence which even the ‘metalogician’ finds it difficult to conceive. 1964 Amer. Philos. Q. I. 236/2 As used by grammarians, metalogicians, etc., they ment... Oxford English Dictionary
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Metavariable
See also Explicit substitution Notes References Logic symbols Metalogic Syntax (logic) Variables (mathematics) wikipedia.org
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Metatheory
Metalogic Metalogic is the study of the metatheory of logic. Logic concerns the truths that may be derived using a logical system; metalogic concerns the truths that may be derived about the languages and systems wikipedia.org
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Does anyone know of a textbook for first order logic that... 1. Doesn't focus primarily on metalogic. 2. Covers every subtlety of first order logic that doesn't involve metalogic. 3. Has plenty of exercise to test...
Your question is somewhat misguided, because the study of logic is, _by definition_ , metalogic.
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Metatheorem
See also Metamathematics Use–mention distinction References Geoffrey Hunter (1969), Metalogic. 2002), "Metatheory", A companion to philosophical logic, Dale Jacquette (ed.), p. 307 External links Meta-theorem at Encyclopaedia of Mathematics Metalogic wikipedia.org
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Proving a chain of well-formed formulas in metalogic Suppose we have a set of assumptions $\Delta$ and can show that $\Delta \vdash A$, and then $A \vdash B$. Are we then able to say $\Delta \vdash B$? If so what le...
Generally speaking, yes. You can just concatenate the first proof and the second proof and it will yield the third proof. Precise details of how you glue them together to get another well formed proof will depend on the deductive system. (But e.g. in a Hilbert-style system it is as simple as appendi...
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Trouble with a theorem in Hunter's Metalogic I'm a logician studian and I'm reading Hunter's Metalogic. I'm having trouble understanding and exemplifing part of a theorem in the book. It's the theorem 40.14, pp. 156-7...
The _assignment_ function $s$ is a function : > $s : Var \to D$ where $Var$ is the set of _variables_ : $v_1, v_2, v_3, \ldots, v_k, \ldots$, and $D$ is the _domain_ of the _interpretation_ $I$. Assume a simple example with $D = \\{ a, b, c, d, ... \\}$ and let $s$ the following assignment : > $s(v_...
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Geoffrey Hunter (logician)
Geoffrey was probably most known for his work titled Metalogic: An Introduction to the Metatheory of Standard First-Order Logic, published in 1971. "Metalogic: An Introduction to the Metatheory of Standard First Order Logic". Macmillan Hunter, Geoffrey (1973). wikipedia.org
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Effective method
In logic, mathematics and computer science, especially metalogic and computability theory, an effective method or effective procedure is a procedure for Metalogic Computability theory Theory of computation wikipedia.org
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In logic, do the $\Longrightarrow$ and $\rightarrow$ signify different things? In logic, do the $\Longrightarrow$ and $\rightarrow$ signify different things? Are there contexts where one is more appropriate than the o...
Long story short, $\rightarrow$ is a logic operator, whereas $\implies$ is a statement (where you know the outcome must be true). $\rightarrow$ : can have result "false". $\\\$ $\implies$ : Always true, by definition cannot be false. Not used as an operator.
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波克夏·哈萨威能源
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Axiom independence
References External links Metalogic wikipedia.org
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Completeness (logic)
In mathematical logic and metalogic, a formal system is called complete with respect to a particular property if every formula having the property can References Mathematical logic Metalogic Model theory Proof theory wikipedia.org
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