Re: Where is the paradox in liar?
- From: "david petry" <david_lawrence_petry@xxxxxxxxx>
- Date: 30 Apr 2006 17:11:45 -0700
Newberry wrote:
Let's consider liar's paradox:
OK. For simplicity, I'll take the liar paradox to be the assertion "I
am lying". Here's my analysis of it.
Whenever we speak, we implicitly assert that we are telling the truth.
To see that this is so, consider the two statements:
1) two plus two is four
2) I am telling the truth: two plus two is four.
Notice that the second statement has no additional content beyond the
content of the first statement. Since adding the phrase "I am telling
the truth" has no effect on the content of any statement, it can be
assumed to always be implicitly present.
Thus, the assertion "I am lying" is exactly equivalent to "I am telling
the truth: I am lying". But that is a simple contradiction of the
form "A and not A". There's nothing paradoxical about it.
It is entirely reasonable to believe that there is nothing of substance
to the liar paradox, and that all discussion of it is nonsense.
Someday, people will agree that it is no more paradoxical than Zeno's
paradox.
.
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