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In logic metavariable (also metalinguistic variable[1]) is a symbol or set of symbols in a metalanguage which stands for a symbol or set of symbols in some object language. For instance, in the sentence:

Let A and B be two arbitrary formulas of a formal language ℒ.

The symbols A and B are not symbols of the object language ℒ, they are metasyntactic variables in the metalanguage (in this case, English) which is talking about the object language ℒ.


Etymology

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  • 'Meta' means providing information about, or transcending.
  • 'Variable' means something that can assume a value, or something likely to vary.

So we have a word that

transcends the common rules of a variable and can assume a value


See also

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References

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  1. ^ Geoffrey Hunter, Metalogic: An Introduction to the Metatheory of Standard First-Order Logic p.13
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