[FOM] The liar "revenge"?
martdowd at aol.com
martdowd at aol.com
Tue Jul 21 00:34:21 EDT 2015
Arnon Avron writes:
eedless to say, for me
the "liar sentences" of all types
are indeed completely meaningless, which is
why I was never bothered
by them (in contrast to the so-called logical
paradoxes).
There are formal theories of the Liar paradox.
R.\ Smullyan, ``Languages in which self-reference is possible'',
J.\ Symb.\ Logic 22 (1957) 55--67.
is one such. I don't remember the details. I have a UCI Tech report on some
such languages; I can post it on my web site if anyone is interested.
Clearly, if a proposiional language has a truth modality and a
self-reference mechanism, "this statement is false" is neither truenn nor
false. It can be assigned a meaning in a suitable 3-valued logic.
- Martin Dowd
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