In a first-order structure, an interpretation assigns a relation of the specified arity to each predicate symbol, a total function of the specified arity to each function symbol, and an element to each constant symbol. Evaluation of first-order terms and truth of logical formulas are then defined recursively. This specifies how symbols acquire their meanings on the underlying set.

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  1. First-order structure
  2. First-order logic
  3. Mathematical logic
  4. Foundations of mathematics
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