1. Conditional Statements
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There are four scenarios of a conditional statement.
See solution.
if hypothesis then conclusion A hypothesis can either be true or false, and the same applies to a conclusion. For a conditional statement to be true though, the hypothesis and conclusion do not necessarily both have to be true — the only time a conditional statement is false is when a true hypothesis results in a false conclusion.
p | q | p→ q |
---|---|---|
T | T | T |
T | F | F |
F | T | T |
F | F | T |
We can see this illustrated in the truth table.