Abstract
The first step in giving a formal account of first order logic (for which excellent introductory textbooks are due to Mendelson [1978] and van Dalen [1982]) is of course to specify, in a rigorous way, a language for it since, as indicated in Section 2.1, a language is required if a logic is to be defined. There exist infinitely many languages for first order logic, all of them sharing the same core set of special symbols and rules of construction of formulas. The set of symbols (an alphabet) that a first order language employs is as follows.
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