Question

Determine the truth value of the statement if the domain for all variables is the set of nonnegative integers.

Answer 1

The domain for all variables of the set of nonnegative integers given is true.

How to explain the truth value?

From the information given, we are given ∃n∀m(m< n). This implies that for all m, there exists n such that m × n where m and n are non negative integers.

This statement is true because for any non negative integer, the least value is zero and the set is unbounded.

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