4.1.4.6. Simplification Law

Try these first

1. 1.

   What defines a valid argument?

   Hint

   Think about implications between premises and conclusions.

2. 2.

   What role do rules of inference play?

   Hint

   Look for patterns in the argument structure to apply.

3. 3.

   What is the structure of Modus Ponens?

   • If p and q
   • then q
   • If p
   • then q; p is true
   • therefore q
   • If ¬p
   • then q

   Hint

   Remember the idea of confirming the conclusion based on premises.

4. 4.

   True or False: Denying the antecedent is a valid form of argument.

   • True
   • False

   Hint

   Think about how premises relate to each other logically.

5. 5.

   Given the premises: 'If I sleep early, I will feel rested,' and 'I feel rested,' what conclusion can be drawn? Identify any fallacies.

   Hint

   Review how affirming consequent simplifies premises in deduction.

6. 6.

   Construct an argument with three premises and prove it valid using rules of inference.

   Hint

   Use a variety of rules like Modus Ponens, Modus Tollens, and be careful with each step!