An element-set labelling a Cartesian product by measurable binary relations which leads to postulates of the theory of experience and chance as a theory of co~events

Vorobyev, Oleg Yu. (2016): An element-set labelling a Cartesian product by measurable binary relations which leads to postulates of the theory of experience and chance as a theory of co~events. Published in: Proceedings of the XV FAMEMS Conference and the Workshop on Hilbert's sixth problem, Krasnoyarsk, Russia (30 September 2016): pp. 9-24.

Abstract

We introduce the set-theoretic language for the element-set labelling a Cartesian product by measurable binary relations intended for the labelling, or for the naming of parts and details of the construction that we are going to propose in the theory of experience and chance, or the theory of co~events that serve as mathematical models of events as dual pairs.

• Item Type: MPRA Paper
• Language: English
• Keywords: Eventology, theory of experience and chance, theory of co~events, measurable binary relation, event, co~event, experience, chance.
• Subjects: C - Mathematical and Quantitative Methods > C0 - General; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60 - General; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools; Z - Other Special Topics > Z1 - Cultural Economics ; Economic Sociology ; Economic Anthropology; Z - Other Special Topics > Z1 - Cultural Economics ; Economic Sociology ; Economic Anthropology > Z10 - General; Z - Other Special Topics > Z1 - Cultural Economics ; Economic Sociology ; Economic Anthropology > Z13 - Economic Sociology ; Economic Anthropology ; Social and Economic Stratification

References

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[3] O. Yu. Vorobyev. Eventology. Siberian Federal University, Krasnoyarsk, Russia, 2007 (in Russian), 435p., https://www.academia.edu/179393/.

[4] O. Yu. Vorobyev. Theory of dual co~event means. In. Proc. of the XIV Intern. FAMEMS Conf. on Financial and Actuarial Mathematics and Eventology of Multivariate Statistics & the Workshop on Hilbert’s Sixth Problem, Krasnoyarsk, SFU (Oleg Vorobyev ed.):48–99, 2016 (in English, abstract in Russian); ISBN 978-5-9903358-6-8, https://www.academia.edu/34357251.

[5] O. Yu. Vorobyev. Postulating the theory of experience and chance as a theory of co~events (co~beings). In. Proc. of the XIV Intern. FAMEMS Conf. on Financial and Actuarial Mathematics and Eventology of Multivariate Statistics & the Workshop on Hilbert’s Sixth Problem, Krasnoyarsk, SFU (Oleg Vorobyev ed.):28–47, 2016 (in English, abstract in Russian); ISBN 978-5-9903358- 6-8, https://www.academia.edu/34373279.