Information 2014, 5(2), 357-388; doi:10.3390/info5020357

Weighted E-Spaces and Epistemic Information Operators

Received: 19 July 2013; in revised form: 22 May 2014 / Accepted: 22 May 2014 / Published: 11 June 2014
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Abstract: Information is usually related to knowledge. Here, we present a broader picture in which information is associated with epistemic structures, which form cognitive infological systems as basic recipients and creators of cognitive information. Infological systems are modeled by epistemic spaces, while operators in these spaces are mathematical models of information. Information that acts on epistemic structures is called cognitive information, while information that acts on knowledge structures is called epistemic information. The latter brings new and updates existing knowledge, being of primary importance to people. In this paper, both types of information are studied as operators in epistemic spaces based on the general theory of information. 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 from various mathematical disciplines, such as the theory of categories, functional analysis, mathematical logic and algebra. In this paper, we base our exploration of information and knowledge dynamics on functional analysis further developing the mathematical stratum of the general theory of information.
Keywords: information; knowledge; epistemic structure; epistemic space; weighted epistemic space; epistemic information operator; vector bundle; continuity; boundedness
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MDPI and ACS Style

Burgin, M. Weighted E-Spaces and Epistemic Information Operators. Information 2014, 5, 357-388.

AMA Style

Burgin M. Weighted E-Spaces and Epistemic Information Operators. Information. 2014; 5(2):357-388.

Chicago/Turabian Style

Burgin, Mark. 2014. "Weighted E-Spaces and Epistemic Information Operators." Information 5, no. 2: 357-388.

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