1.4.3.1. Logical Operators

Try these first

1. 1.

   What is a proposition?

   Hint

   Think about the nature of statements we can evaluate.

2. 2.

   What does the operator ¬ do to a proposition?

   Hint

   Consider what happens when a true statement is negated.

3. 3.

   What does the negation operator ¬ do?

   • Inverts truth value
   • Combines two statements
   • Creates conditionals

   Hint

   Think about what negation means in logic.

4. 4.

   The conjunction operator is true only when?

   • True
   • False

   Hint

   Think AND for conjunction.

5. 5.

   Construct a truth table for the expression (p ˄ ¬q) ⋁ (q → r) and interpret the results.

   Hint

   Break it down into variables and evaluate step-by-step.

6. 6.

   Propose an example in real life where logical implication can be applied and explain the conditions that affect its truth.

   Hint

   Consider scenarios with a clear cause and effect relationship.