1.4. Propositional Logic

Try these first

1. 1.

   Identify whether the following statement is a proposition: 'X is greater than 5.'

   Hint

   Consider what values X could take.

2. 2.

   What is the truth value of 'All cats are mammals'?

   Hint

   Think about what defines a cat.

3. 3.

   What is a proposition?

   • A statement that can be true or false
   • A statement that is always true
   • A statement that is always false

   Hint

   Consider the nature of a statement when determining its truth.

4. 4.

   Is the statement 'If it is raining, then the floor is wet' a conditional?

   • True
   • False

   Hint

   Think about the structure of the statement.

5. 5.

   Formulate a logical expression using at least three propositions and evaluate its truth value.

   Hint

   Consider how the order of operations affects your evaluation.

6. 6.

   Create a scenario involving a conditional statement. Discuss what makes it true or false in real-life terms.

   Hint

   Revisit the definitions of necessary and sufficient conditions.