Logic Online Assignment (Conditional Statements)

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CONDITIONAL STATEMENTS

1. What is a conditional statement?

2. What is a hypothesis?

3. What is a conculusion?

"If it is December, Then it is cold outside"

4. What is the hypotheis of the statement above?

5. What is the conclusion of the statement above?


COUNTEREXAMPLES:

6. All vegetables are green.

7. Baskin Robbins is the only place that sells ice cream.

8. All dogs are animals.

9. All teachers are bald guys.

10. If it lives in the ocean, then it is a fish.

11. If a number is odd, then it is a multiple of 4.

CONVERSE

"If it is an animal, then it has 4 legs."

12. Is this statement TRUE or FALSE? (if false, give a counterexample)

13. What is the converse of this statement?

14. Is the converse TRUE or FALSE? (if false, give a counterexample)



CONVERSE, INVERSE, CONTRAPOSITIVE

If you eat breakfast, then you will feel better at school.

15. Write the CONVERSE:

16. Write the INVERSE:

17. Write the CONTRAPOSITIVE:


If two angles are supplementary, then their sum is 180°

18. Write the CONVERSE:

19. Write the INVERSE:

20. Write the CONTRAPOSITIVE:


If it is Saturday, then school is closed.

21. Write the CONVERSE:

22. Write the INVERSE:

23. Write the CONTRAPOSITIVE:


24. For 15-23, write "TRUE" or provide a counterexample.

25. For 15-23 For which original statement is the original statement, converse, inverse and contrapositive all TRUE?



BICONDITIONAL

26. Write the following statements as a single biconditional statement:

"If two angles add to 180 degrees, then they are supplementary"

"If two angles are supplementary, then they add to 180 degrees"



SYLLOGISM & DETACHMENT

27. Use the following information to draw a conclusion:

If I go to the movie, then I’ll eat popcorn. If I eat popcorn, then I’ll enjoy the movie.

28. What law of logic is used in #27?


29. Use the following information to draw a conclusion:

If I miss my bus, then I’ll be late for school. I miss my bus.

30. What law of logic is used in #29?


31. Use the following information to draw a conclusion:

If my mother lets me go to a movie, then I will be happy. My mom lets me go to a movie.

32. What law of logic is used in #31?


33. Use the following information to draw a conclusion:

If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has 4 right angles.

34. What law of logic is used in #33?