R → P: A proposition asking if 'Monkey is a mammal' implies '1 + 1 = 2'. Select the correct response: True or False.
Understand the Problem
The question involves determining the truth value of a logical proposition based on the statements provided. The proposition R leading to P asks whether the statement about monkeys being mammals implies the mathematical truth that 1 + 1 = 2. This relates to logical reasoning and truth values in propositional logic.
Answer
True
The correct response is True. In logic, an implication 'R → P' is true if P is true, regardless of R's truth value.
Answer for screen readers
The correct response is True. In logic, an implication 'R → P' is true if P is true, regardless of R's truth value.
More Information
This is a standard logic problem where the truth of 'R → P' is determined using the truth table for implications: it is only false when R is true and P is false.
Tips
A common mistake is to think only true premises must lead to true conclusions for the conditional to be true. However, it suffices that the conclusion is true if the premise is also true.
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