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Theory of Multitudes as an Alternative to the Set Theory

Theory of Multitudes as an Alternative to the Set Theory

Cyril Pshenichny
Copyright: © 2018 |Pages: 31
ISBN13: 9781522552611|ISBN10: 1522552618|EISBN13: 9781522552628
DOI: 10.4018/978-1-5225-5261-1.ch001
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MLA

Pshenichny, Cyril. "Theory of Multitudes as an Alternative to the Set Theory." Dynamic Knowledge Representation in Scientific Domains, edited by Cyril Pshenichny, et al., IGI Global, 2018, pp. 1-31. https://doi.org/10.4018/978-1-5225-5261-1.ch001

APA

Pshenichny, C. (2018). Theory of Multitudes as an Alternative to the Set Theory. In C. Pshenichny, P. Diviacco, & D. Mouromtsev (Eds.), Dynamic Knowledge Representation in Scientific Domains (pp. 1-31). IGI Global. https://doi.org/10.4018/978-1-5225-5261-1.ch001

Chicago

Pshenichny, Cyril. "Theory of Multitudes as an Alternative to the Set Theory." In Dynamic Knowledge Representation in Scientific Domains, edited by Cyril Pshenichny, Paolo Diviacco, and Dmitry Mouromtsev, 1-31. Hershey, PA: IGI Global, 2018. https://doi.org/10.4018/978-1-5225-5261-1.ch001

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Abstract

The initial goal of the research reported in this chapter was to develop an extension of the set theory able to handle the meanings of concepts. However, this purpose led not to extension of the said theory but to development of a new one, and this chapter presents an outline of a newly constructed theory of multitudes, which nevertheless seems to share some of the features of the set theory. Still, its approach is to clearly separate the qualitative and quantitative concerns, and first formalize the qualitative one, based on the vision communicated by natural languages. Though still not entirely formal, the proposed theory is seen to provide a common ground for a wide spectrum of independent knowledge engineering and representation techniques.

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