Geodesic
On elements of axiomatizing eventology
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 2, pp. 157-164.

Voir la notice de l'article provenant de la source Math-Net.Ru

Elements of eventologic axiomatics are offered. Eventology [1], 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 [2], to offer an axiomatizing eventology which expands Kolmogorov's axiomatic of probability theory [3] and axiomatizes an overlapping sciences mathematical eventolanguage for the description of many-agent being and co-being.
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, simplicity of eventologic space. 
@article{JSFU_2010_3_2_a2,
     author = {Oleg Yu. Vorobyev},
     title = {On elements of axiomatizing eventology},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {157--164},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a2/}
}
TY  - JOUR
AU  - Oleg Yu. Vorobyev
TI  - On elements of axiomatizing eventology
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2010
SP  - 157
EP  - 164
VL  - 3
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a2/
LA  - en
ID  - JSFU_2010_3_2_a2
ER  - 
%0 Journal Article
%A Oleg Yu. Vorobyev
%T On elements of axiomatizing eventology
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2010
%P 157-164
%V 3
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a2/
%G en
%F JSFU_2010_3_2_a2
Oleg Yu. Vorobyev. On elements of axiomatizing eventology. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 2, pp. 157-164. http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a2/

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

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

[3] A. N. Kolmogorov, Grundbegriffe der Wahrscheinlichkeitrechnung, Ergebnisse der Mathematik, Berlin, 1933 | Zbl

[4] B. A. W. Russell, History of Western 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 Scientific Publishing, Singapore, 2003 | MR | Zbl

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

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