It is raining now.Therefore, it is either raining or humid now.*1 pointAdditionSimplificationConjunctionResolution
Question
It is raining now. Therefore, it is either raining or humid now.
1 point
Addition
Simplification
Conjunction
Resolution
Solution
To analyze the reasoning in the statement "It is raining now. Therefore, it is either raining or humid now," we need to recognize the logical operation at play.
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Break Down the Problem: We have two propositions:
- P: It is raining now.
- Q: It is humid now. The conclusion can be denoted as: P ∨ Q (It is either raining or humid).
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Relevant Concepts: The reasoning follows a basic rule of propositional logic known as the Addition rule. This rule allows us to conclude that if we have one true proposition (in this case, that it is raining), we can assert any disjunction (or) that includes that proposition.
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Analysis and Detail:
- From P (It is raining), we apply the addition rule:
- Since P is true, we can say "It is raining or humid" (P ∨ Q) is also true, regardless of whether Q (it is humid) is true or false.
- From P (It is raining), we apply the addition rule:
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Verify and Summarize: The logical reasoning correctly applies the addition rule. The original statement is valid because even if Q is false (it is not humid), P being true still makes the disjunction true.
Final Answer
The correct answer to the logical operation in the statement is Addition.
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