1.5. Conclusion

Try these first

1. 1.

   What is a proposition?

   Hint

   Think of a statement that can be verified.

2. 2.

   Define conjunction in logical terms.

   Hint

   Remember the 'and' operator.

3. 3.

   What does a conjunction operator do?

   • Outputs true if one proposition is true
   • Outputs true only if both propositions are true
   • Outputs false if both are true

   Hint

   Think 'and' to remember how conjunction works!

4. 4.

   Is the statement 'If it is raining, then the streets are wet' a proposition?

   • True
   • False

   Hint

   Ask if it can be validated in reality.

5. 5.

   Create a comprehensive truth table for the logical expression (p ∧ q) → r.

   Hint

   Start by listing all combinations of truth values for p, q, and r.

6. 6.

   Using logical operators, formulate an argument to prove that 'If Superman is real, then so is a man of steel' is valid.

   Hint

   Identify the key propositions and their implications.