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Question 563871: We are asked to reach a valid conclusion using reasoning by transitivity.
"If I tell you the time, then we'll start chatting. If we start chatting, then you'll want to meet me at a local pub to sip that pub. If we meet at a local pub, then we'll discuss my family. If we discuss my family, then you'll find out that my daughter is available for marriage. If you find out that my daughter is available for marriage, then you'll want to marry her. If you want to marry her, then my life will be miserable since I don't want my daughter married to some fool who can't afford a 10 dollar watch."
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the law of transitivity means this:
if a implies b and b implies c then a implies c.
the statement above boils down to:
if i tell you the time, then my life will be miserable.
this assumes the chain of logic follows through to the end.
the chain is as follows:
if i tell you the time then we start chatting (a implies b)
if we start chatting, then we'll meet at the local pub (b implies c)
if we meet at the local pub then we'll discuss my family (c implies d)
if we discuss my family then you'll find out that my daughter is available (d implies e)
if you find out that my daughter is available then you'll want to marry her (e implies f)
if you want to marry her then my life will be miserable. (f implies g).
the law is:
if a implies b and b implies c, then a implies c.
we now have a implies c
the law then states:
if a implies c and c implies d, then a implies d.
we now have a implies d.
the law then states:
if a implies d and d implies e, than a implies e.
we now have a implies e.
the law then states:
if a implies e and e implies f, then a implies f.
we now have a implies f.
the law then states:
if a implies f and f implies g, then a implies g.
we now have a implies g.
this means that:
if i tell you the time then i will be miserable by the law of transitivity.
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