RAA Proof

1. What exactly does RAA proofs stands for?

• Reduction and absurdum

• Reductio and absurdum

• Reductio ad absurdum

• Reductio ad absurdom

2. Both RAA and ____ are indirect proofs.

• Proof by Contradiction

• Proof by Cases

• Proof by Counterexample

• Proof by Contrapositive

3. All mathematical theorems are in the form of or can be translated into ___ statements.

• biconditional

• conditional

• conjunction

• disjunction

What would be the reason in number 5?

4. If triangle ABC is a triangle, then it is isosceles. Is it a theorem?

• Yes

• No

Solve on your own.

Can we use Modus Ponens in proving?

• Yes

• No

5. It is the negation of the statement C.

• RAA hypothesis

• RAA conclusion

What is the other reason for proof number 6?

• 4,5 Modus Ponens

• 4,5 Modus Tollens

• 3, Reconstruct

• Conjunction Elimination

What will be the statement and reason for proof number 7?

• Statement: Q

  Reason: 5,6 Modus Ponens

• Statement: Q

  Reason: 5,6 Modus Tollens

• Statement: ~Q

  Reason: 5,6 Modus Ponens

• Statement: ~Q

  Reason: 5,6 Modus Tollens

6. Once the negation of C leads to absurdity, it follows that c must be valid. It is then called ___.

• RAA hypothesis

• RAA conclusion