Statement Form/Examples/Arbitrary Example 7
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Example of Statement Form
- The sum of two numbers is even if and only if either both numbers are even or both numbers are odd
has the statement form
- $A \iff \paren {B \lor C}$
where:
- $A$ stands for The sum of two numbers is even
- $B$ stands for Both numbers are even.
- $C$ stands for Both numbers are odd.
Sources
- 1988: Alan G. Hamilton: Logic for Mathematicians (2nd ed.) ... (previous) ... (next): $\S 1$: Informal statement calculus: $\S 1.1$: Statements and connectives: Exercises $1 \ \text {(g)}$