First order logic (FOL) is called `first order’ because
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The First-order logic (FOL) derives from the "first in the logics" involving quantifiers.
Explanation:
The reason why FOL is considered as first order is because the first-order predicate is made. The predicates are first-order relations in the FOL.
It also has different names like "first-order functional calculus". Moreover, it is merely a set of function symbols and even a set of the predicate. Thus, a predicate can only be stated as to a "single subject" in FOL.
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