Practice Conclusion (1.5) - Introduction to Mathematical Logic - Discrete Mathematics

Practise this section

9 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is a proposition?
Show hintHide hint
Think of a statement that can be verified.
Question 2.
Define conjunction in logical terms.
Show hintHide hint
Remember the 'and' operator.
3Question 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
Show hintHide hint
Think 'and' to remember how conjunction works!
4Question 4.
Is the statement 'If it is raining, then the streets are wet' a proposition?
- True
- False
Show hintHide hint
Ask if it can be validated in reality.
Question 5.
Create a comprehensive truth table for the logical expression (p ∧ q) → r.
Show hintHide hint
Start by listing all combinations of truth values for p, q, and r.
Question 6.
Using logical operators, formulate an argument to prove that 'If Superman is real, then so is a man of steel' is valid.
Show hintHide hint
Identify the key propositions and their implications.

5 more questions in this section. Enroll free to practise them all.