[FOM] Logical Correctness/ Friedman
Lotfi A. Zadeh
zadeh at eecs.berkeley.edu
Thu Nov 22 01:13:45 EST 2012
Dear Joel Friedman,
Thank you for your constructive comment. A problem with your
reasoning is that it applies only when p is a crisp proposition. When p
is a fuzzy proposition such as Robert is rich, or Most Swedes are tall,
classical material implication does not apply. As a test, consider the
conditional statement:
If it is impossible that Robert is rich, then it is possible
that Robert is rich.
In this case, the issue is not logical correctness but the
truth-value of the conditional statement, with the understanding that
rich, most and tall are labels of fuzzy sets. How would you compute the
truth-value of the conditional statement?
Sincerely,
Lotfi Zadeh
--
Lotfi A. Zadeh
Professor Emeritus
Director, Berkeley Initiative in Soft Computing (BISC)
Address:
729 Soda Hall #1776
Computer Science Division
Department of Electrical Engineering and Computer Sciences
University of California
Berkeley, CA 94720-1776
zadeh at eecs.berkeley.edu
Tel.(office): (510) 642-4959
Fax (office): (510) 642-1712
Tel.(home): (510) 526-2569
Fax (home): (510) 526-2433
URL: http://www.cs.berkeley.edu/~zadeh/
BISC Homepage URLs
URL: http://zadeh.cs.berkeley.edu/
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