1 votes 1 votes Prove the validity of the following argument " If I get the job and work hard,then I'll get promoted. If I get promoted then i'll be happy. I will not be happy. Therefore either i will not get the job or i will not work hard." LavTheRawkstar asked Jul 7, 2016 LavTheRawkstar 10.6k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 6 votes 6 votes let p: I get the job q: I work hard r: I'll get promoted p^q-->r for the first argument now t:I'll be happy so for 2nd argument it becomes r->t now we have 3rd argument as ~t so from modus tollens r-->t ~t therefore ~r Now combining arguments p^q->r and ~r from modus tollens , we get ~(p^q) = ~p OR ~q hence proved either I will not get the job or I will not work hard radha gogia answered Jul 7, 2016 edited Jul 7, 2016 by asu radha gogia comment Share Follow See all 0 reply Please log in or register to add a comment.