Home

 


Course Information

 


Homework Solutions

 

Communications

Chapter 1.2 Tautologies and Valid Arguments

 

2. (a) It is not the case that I will receive a promotion.

2. (b) If I will receive a promotion, then I will take a vacation.

2. (c) If and only if I will receive a promotion, then I will take a vacation.

2. (d) If I will not receive a promotion, then I will quit my job.

2. (e) If I will receive a promotion, then I will take a vacation and I will not quit my job.

2. (f) If and only if I will not receive a promotion, then I will quit my job.

6. (a) If the salt will not pour, then it does not rain.

6. (b) If the salt will pour, then it rains.

6. (c) If it does not rain, then the salt will not pour.

10. (a) If p and q, then p.

10. (b) If and only if p then not p.

10. (c) If it is not the case that p and q, the p or q.

10. (d) I p the q, if and only if not p or q.

14. Not a valid argument (not a tautology, one F appears).

18. (a) If I can play hockey, then I finished my homework.

18. (b) If I can not play hockey, then I did not finish my homework.

18. (c) If I do not finish my homework, then I cannot play hockey.

22. Valid argument (a tautology).

26. Tautology.

 

This site is made possible by funding from the National Science Foundation (DUE-9981111).