4.2. Summary

Try these first

1. 1.

   What is a premise in propositional logic?

   Hint

   It comes before the conclusion.

2. 2.

   Define Modus Ponens in your own words.

   Hint

   Think 'If this happens, then that happens.'

3. 3.

   If you know p → q and p is true, what can you conclude?

   • p is false
   • q is true
   • p is true

   Hint

   It's a direct result of the rule.

4. 4.

   True or False: Modus Tollens states if p and ¬q, then you can conclude ¬p.

   • True
   • False

   Hint

   Revisit the definition of the rule.

5. 5.

   Create a logical argument using at least three premises and illustrate its validity using both Modus Ponens and Modus Tollens.

   Hint

   Build step by step, ensuring each premise connects logically.

6. 6.

   Draft an argument containing a logical fallacy and explain why it fails.

   Hint

   Identify an alternate scenario where your conclusion could still be untrue.