4.1.5. Verifying Complex Arguments with Rules of Inference

Try these first

1. 1.

   What is a valid argument?

   Hint

   Focus on how the premises relate to the conclusion.

2. 2.

   What does Modus Ponens state?

   Hint

   Think of the structure 'If P, then Q'.

3. 3.

   What does Modus Ponens allow us to conclude?

   • If P is true
   • then Q must be false
   • If P is true and P implies Q
   • then Q is true
   • If Q is true
   • P must be true

   Hint

   Remember the structure of Modus Ponens.

4. 4.

   True or False: A fallacy is a valid form of reasoning.

   • True
   • False

   Hint

   Think of the term 'fallacy' itself.

5. 5.

   Create a complex argument involving at least four premises and demonstrate its validity using the rules of inference.

   Hint

   Start with simple premises and build complexity step by step.

6. 6.

   Explain a logical fallacy using a real-life scenario, demonstrating why it is invalid.

   Hint

   Think of common misconceptions or arguments you’ve encountered.