Abstract
Let R be a binary relation symbol. The {R}-formula
(1) ∀v 0 R v 0 v 0
is, at present, merely a string of symbols to which no meaning is attached. The situation changes if we specify a domain for the variable v 0 and if we interpret the binary relation symbol R as a binary relation over this domain. There are, of course, many possible choices for such a domain and relation.
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© 1994 Springer Science+Business Media New York
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Ebbinghaus, HD., Flum, J., Thomas, W. (1994). Semantics of First-Order Languages. In: Mathematical Logic. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2355-7_3
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DOI: https://doi.org/10.1007/978-1-4757-2355-7_3
Publisher Name: Springer, New York, NY
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