Question 563871
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.