Question

Hey. Could anyone tell me what is 'Domain of Discourse' in predicate logic
Thanks

Answer 1

is the set of entities over which certain variables of interest in some formal treatment may range. The domain of discourse is usually identified in the preliminaries, so that there is no need in the further treatment to specify each time the range of the relevant variables.

For example, in an interpretation of first-order logic, the domain of discourse is the set of individuals that the quantifiers range over. In one interpretation, the domain of discourse could be the set of real numbers; in another interpretation, it could be the set of natural numbers. If no domain of discourse has been identified, a proposition such as ∀x (x2 ≠ 2) is ambiguous. If the domain of discourse is the set of real numbers, the proposition is false, with x = √2 as counterexample; if the domain is the set of naturals, the proposition is true, since 2 is not the square of any natural number.

Answer 2

Like a set over a proposition right?

Answer 3

yea

Answer 4

Thanks !