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If it rains, the ground gets wet. It is raining. Therefore, the ground is wet. I

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Question: If it rains, the ground gets wet. It is raining. Therefore, the ground is wet. Is this conclusion valid?

Options:

  1. Yes
  2. No
  3. Only if the ground is not covered
  4. Only if it rains heavily

Correct Answer: Yes

Solution:

The conclusion is valid because if it is raining, then according to the premise, the ground must be wet.

If it rains, the ground gets wet. It is raining. Therefore, the ground is wet. I

Practice Questions

Q1
If it rains, the ground gets wet. It is raining. Therefore, the ground is wet. Is this conclusion valid?
  1. Yes
  2. No
  3. Only if the ground is not covered
  4. Only if it rains heavily

Questions & Step-by-Step Solutions

If it rains, the ground gets wet. It is raining. Therefore, the ground is wet. Is this conclusion valid?
  • Step 1: Identify the first statement: 'If it rains, the ground gets wet.' This means that rain causes the ground to be wet.
  • Step 2: Identify the second statement: 'It is raining.' This tells us that the condition for the ground to be wet is happening.
  • Step 3: Combine the two statements: Since it is raining, we can use the first statement to conclude that the ground must be wet.
  • Step 4: State the conclusion: Therefore, the conclusion 'the ground is wet' is valid because it follows logically from the premises.
  • Conditional Statements – Understanding the relationship between conditions (if-then statements) and their implications.
  • Logical Validity – Determining whether a conclusion logically follows from given premises.
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