Logics Based on Open-world Assumption - A kind of logics for cognition

Shier Ju

The institute of logic and cognition, Zhongshan University - China

The center of language of cognition, Zhejiang University - China

This lecture will analyze the logical characters of open-ended classes, and then introduce our work about the logical systems based on Open-world assumption (OWA).

REFERENCES:

Levi, I., Decisions and Revisions, Cambridge University Press, 1984.

Lukasiewize, W., Non-Monotonic Reasoning. Ellis Horwood, 1990

Quine, W. V., Ontological Relativity and Other Essays, Columbia Univ. Press, 1969

Rescher, N., Many - Valued Logic, McGrraw - Hill Book Company 1969.

Reiter, R., “ On Closed World Data Bases”, In Herve Gallaire and Jack Minker, editors, Logic and Data Bases. Plenum Press, New York, 1978

Shackle, G.,          Decision, Order and Time In Human Affairs, Cambridge University Press, 1961

Shackle, G., Expectation in Economics, Cambridge University Press, 1949.

Shier J., “Negation and the Closeness of the Classes of Possible Worlds,” in Studies in Dialectics of Nature, No. 11, 1997

Shier J., “A Three-valued Sentential Calculus Based on the Open-world Assumption,” in J. of Sun Yatsen University, No.5, 1997(b)

Shier J.,The Studies on Inductive logic of Non-Pascal Probability, Zhejiang Publishing House, 1993

Smets, P., “Belief Functions” in Non-Standard Logics for Automated Reasoning, ed. P. Smets, E.H. Mamdani, D.Dubois and H. Prade, Academic Press. 1988

Wittgenstein, L.,  Philosophical Investigations. Oxford: Basil Blackwell, 1953.