If a person is a teacher, then they have a degree. John is a teacher. Therefore,

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Question: If a person is a teacher, then they have a degree. John is a teacher. Therefore, John has a degree. Is this conclusion valid?

Options:

Correct Answer: Yes

Solution:

The conclusion is valid because if John is a teacher, then according to the premise, he must have a degree.

If a person is a teacher, then they have a degree. John is a teacher. Therefore, John has a degree. Is this conclusion valid?

If a person is a teacher, then they have a degree. John is a teacher. Therefore, John has a degree. Is this conclusion valid?

Step 1: Understand the first statement: 'If a person is a teacher, then they have a degree.' This means that being a teacher guarantees having a degree.
Step 2: Identify the second statement: 'John is a teacher.' This tells us that John fits into the category of people who are teachers.
Step 3: Apply the first statement to John: Since John is a teacher, we can use the first statement to conclude that he must have a degree.
Step 4: Conclude: Therefore, the conclusion 'John has a degree' is valid based on the information given.

Logical Implication – The relationship between premises and conclusions in deductive reasoning.
Modus Ponens – A valid form of argument where if 'P implies Q' and 'P' is true, then 'Q' must also be true.