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Information 2011, 2(4), 697-726; doi:10.3390/info2040697

Epistemic Information in Stratified M-Spaces

Department of Mathematics, University of California, Los Angeles, 405 Hilgard Ave. Los Angeles, CA 90095, USA
Received: 15 September 2011 / Revised: 24 November 2011 / Accepted: 1 December 2011 / Published: 16 December 2011
(This article belongs to the Special Issue Selected Papers from "FIS 2010 Beijing")
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Information is usually related to knowledge. However, the recent development of information theory demonstrated that information is a much broader concept, being actually present in and virtually related to everything. As a result, many unknown types and kinds of information have been discovered. Nevertheless, information that acts on knowledge, bringing new and updating existing knowledge, is of primary importance to people. It is called epistemic information, which is studied in this paper based on the general theory of information and further developing its mathematical stratum. As a synthetic approach, which reveals the essence of information, organizing and encompassing all main directions in information theory, the general theory of information provides efficient means for such a study. Different types of information dynamics representation use tools of mathematical disciplines such as the theory of categories, functional analysis, mathematical logic and algebra. Here we employ algebraic structures for exploration of information and knowledge dynamics. In Introduction (Section 1), we discuss previous studies of epistemic information. Section 2 gives a compressed description of the parametric phenomenological definition of information in the general theory of information. In Section 3, anthropic information, which is received, exchanged, processed and used by people is singled out and studied based on the Componential Triune Brain model. One of the basic forms of anthropic information called epistemic information, which is related to knowledge, is analyzed in Section 4. Mathematical models of epistemic information are studied in Section 5. In Conclusion, some open problems related to epistemic information are given.
Keywords: information; knowledge; information operator; stratification; epistemic information; composition; cognition; algebra; equivalence information; knowledge; information operator; stratification; epistemic information; composition; cognition; algebra; equivalence
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Burgin, M. Epistemic Information in Stratified M-Spaces. Information 2011, 2, 697-726.

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