4.1.1. Valid Arguments in Propositional Logic

Try these first

1. 1.

   What is a premise in logic?

   Hint

   Think about what supports a conclusion.

2. 2.

   What does Modus Ponens state?

   Hint

   Recall the conditional statements we discussed.

3. 3.

   What is the key component of a valid argument?

   • A. True conclusion
   • B. Valid structure
   • C. Actual truth of premises

   Hint

   Think about what defines the argument's integrity.

4. 4.

   True or False: A valid argument always has true premises.

   • True
   • False

   Hint

   Reflect on the definitions of valid vs. sound arguments.

5. 5.

   Consider the argument: If it is sunny (p), we will go to the beach (q). It is sunny, thus we will go to the beach. Evaluate its validity using Modus Ponens.

   Hint

   Identify the premises and apply the rule.

6. 6.

   Create your own argument involving a conditional statement and assess its validity using truth tables.

   Hint

   Break down the components, and check all possibilities.