4.1.3. Checking Validity of Argument Forms

Try these first

1. 1.

   Define a premise in your own words.

   Hint

   Think about what supports or leads to a conclusion.

2. 2.

   Provide an example of a valid argument.

   Hint

   Use a simple example with clear premises.

3. 3.

   What does it mean for an argument to be valid?

   • A) The conclusion is true.
   • B) The premises lead to the conclusion.
   • C) The argument has no premises.

   Hint

   Focus on the relationship between premises and conclusion.

4. 4.

   Modus Ponens applies to which of the following?

   • A) p → q
   • p therefore q
   • B) p → q
   • ¬p therefore ¬q
   • C) ¬p
   • p → q therefore q

   Hint

   Identify the structure of Modus Ponens.

5. 5.

   Given premises: 'If I study, then I will pass the test' and 'I did not pass'. Determine the validity and explain using logical principles.

   Hint

   Focus on the implications of negating the conclusion.

6. 6.

   Formulate an argument with two premises that exemplify Modus Tollens, and verify its validity.

   Hint

   Verify by checking both the structure and truth of the premises.