On Elements of Axiomatizing Eventology

Vorobyev, Oleg Yu. (2009): On Elements of Axiomatizing Eventology. Published in: J. of Sib. Fed. Univ. , Vol. 2, No. 3 (10 March 2010): pp. 157-164.

Abstract

Elements of eventologic axiomatics are offered. Eventology [Vorobyev, 2007], a new direction of probability theory and philosophy, offers the original many-event-based approach to the description of many-agent being and co-being, entering human agents, together with his/her beliefs, directly in the frameworks of scientific research in the form of eventologic distribution of his/her own events. This allows us, by putting together probabilistic and many-event-based representation of information and philosophical concept of event as co-being [Bakhtin, 1920], to offer an axiomatizing eventology which expands Kolmogorov’s axiomatic of probability theory [Kolmogorov, 1933] and axiomatizes an overlapping sciences mathematical eventolanguage for the description of many-agent being and co-being.

• Item Type: MPRA Paper
• Language: English
• Keywords: Event, co-being, probability, Kolmogorov’s axiomatics, eventology, axiomatizing eventology, eventologic axiomatics, universal elementary event, universal event, universal measurable space, universal probability space, eventologic space, name of event, set of names of events, sufficiency of eventologic space, simpliciality of eventologic space.
• Subjects: C - Mathematical and Quantitative Methods > C0 - General

References

[1] O.Yu.Vorobyev. Eventology. Siberian Federal University, Krasnoyarsk, 2007 (in Russian).

[2] M.M.Bakhtin, Toward a Philosophy of the Act, University of Texas Press, Austin, 1993, St.Petersburg, 1920.

[3] A.N.Kolmogorov, Grundbegri R e der Wahrscheinlichkeitrechnung, Ergebnisse der Mathematik, Berlin, 1933.

[4] B.A.W.Russell, History ofWestern Philosophy and its Connections with Political and Social Circumstances from the Earlist Times to the Present Day, George Allen & Unwin, London, 1946.

[5] V.A. Lefebvre, Algebra of Conscience, Kluwer Academic Publishers, Boston, 2003.

[6] D. Xiong, The Natural Axiom System of Probability Theory: Mathematical Model of the Random Universe, World ScientiЇc Publishing Co. Pte. Ltd., Singapore, 2003.

[7] O.Yu.Vorobyev, Multicovariances of events, Proc. of the VII Russian FAM Conf. on Financial and Actuarial Mathematics and Related Fields, Siberian Federal University, Krasnoyarsk, 1(2008), 67–81 (in Russian).

[8] O.Yu.Vorobyev, Eventological H-theorem, Proc. of the VII Russian FAM Conf. on Financial and Actuarial Mathematics and Related Fields, Siberian Federal University, Krasnoyarsk, 1(2008), 51-58 (in Russian).