Liar paradox
Liar paradox
By Dr. Sohail Ansari
Conceived
and worded by DR Sohail Ansari (originality of concepts and originality of
words).
He
believes that there can never be a zero scope for improvement and appreciates
criticism if it is not for the sake of criticism.
(He
is so intelligent that he can do everything; for example, he can create such a
puzzle that he cannot solve himself)
·
A: line below is true.
B: Line above is false.
· A: line below is false.
B: line above is true.
· E1: E2 is false.
E2: E3 is false.
E3: E1 is false.
Which of the above line
is true then?
Liar paradox: paradox of our own
making
·
‘‘The oldest known version of the liar paradox is attributed to
the Greek philosopher who reportedly asked, ‘A man says that he is lying. Is
what he says true or false?’. The paradox was once discussed by St. Jerome in a
sermon: ‘I said in my alarm, every man is a liar! (Psalm.116:11) Is David
telling the truth or is he lying? If it is true that every man is a liar, and
David’s statement, ‘Every man is a liar’ is true, then David also is lying; he,
too, is a man. But if he, too, is lying, his statement: ‘every man is a liar,’
consequently is not true. Whatever way you turn the proposition, the conclusion
is a contradiction. Since David himself is a man, it follows that he also is
lying; but if he is lying because every man is a liar, his lying is of a
different sort.’’
Even the
man who speaks a lie most of the time, he is not liar all the time. One is not
always a liar; David perhaps is speaking truth this time; furthermore, every
man is a liar means that every man speaks a lie; it does not mean that he
always speaks a lie.
Statements
·
Ahmed always tells the truth, I know this because he told me so.
(There is a chance that the statement is correct, but is insufficient proof in
and of itself).
·
A person gets angry and promises that he will never talk to me
again; he often tells me of this promise.
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