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Postulating the theory of experience and chance as a theory of co~events (co~beings)

Vorobyev, Oleg Yu (2016) Postulating the theory of experience and chance as a theory of co~events (co~beings). [Preprint]

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Abstract

The aim of the paper is the axiomatic justification of the theory of experience and chance,
one of the dual halves of which is the Kolmogorov probability theory. The author’s main idea was the
natural inclusion of Kolmogorov’s axiomatics of probability theory in a number of general concepts of
the theory of experience and chance. The analogy between the measure of a set and the probability of an
event has become clear for a long time. This analogy also allows further evolution: the measure of a set is
completely analogous to the believability of an event. In order to postulate the theory of experience and
chance on the basis of this analogy, you just need to add to the Kolmogorov probability theory its dual
reflection — the believability theory, so that the theory of experience and chance could be postulated as
the certainty (believability-probability) theory on the Cartesian product of the probability and believability
spaces, and the central concept of the theory is the new notion of co~event as a measurable binary relation
on the Cartesian product of sets of elementary incomes and elementary outcomes. Attempts to build the
foundations of the theory of experience and chance from this general point of view are unknown to me,
and the whole range of ideas presented here has not yet acquired popularity even in a narrow circle of
specialists; in addition, there was still no complete system of the postulates of the theory of experience
and chance free from unnecessary complications. Postulating the theory of experience and chance can be
carried out in different ways, both in the choice of axioms and in the choice of basic concepts and relations.
If one tries to achieve the possible simplicity of both the system of axioms and the theory constructed
from it, then it is hardly possible to suggest anything other than axiomatization of concepts co~event and
its certainty (believability-probability). The main result of this work is the axiom of co~event, intended
for the sake of constructing a theory formed by dual theories of believabilities and probabilities, each of
which itself is postulated by its own Kolmogorov system of axioms. Of course, other systems of postulating
the theory of experience and chance can be imagined, however, in this work, a preference is given to
a system of postulates that is able to describe in the most simple manner the results of what I call an
experienced-random experiment.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Vorobyev, Oleg Yuoleg.yu.vorobyev@gmail.com0000-0002-6893-9204
Keywords: Eventology, event, co~event, experience, chance, to experience, to happen, to occur, theory of experience and chance, theory of co~events, axiom of co~event, probability, believability, certainty (believability-probability), probability theory, believability theory, certainty theory.
Subjects: Specific Sciences > Mathematics > Applicability
Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Methodology
Specific Sciences > Mathematics > Ontology
Specific Sciences > Cognitive Science
Specific Sciences > Computation/Information
Specific Sciences > Computation/Information > Quantum
Specific Sciences > Computer Science
Specific Sciences > Artificial Intelligence
Specific Sciences > Economics
Specific Sciences > Probability/Statistics
Specific Sciences > Sociology
Depositing User: Prof. Oleg Vorobyev
Date Deposited: 23 Jul 2018 17:40
Last Modified: 23 Jul 2018 17:40
Item ID: 14894
Official URL: https://www.academia.edu/34417203/Proceedings_of_t...
Subjects: Specific Sciences > Mathematics > Applicability
Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Methodology
Specific Sciences > Mathematics > Ontology
Specific Sciences > Cognitive Science
Specific Sciences > Computation/Information
Specific Sciences > Computation/Information > Quantum
Specific Sciences > Computer Science
Specific Sciences > Artificial Intelligence
Specific Sciences > Economics
Specific Sciences > Probability/Statistics
Specific Sciences > Sociology
Date: 30 September 2016
URI: http://philsci-archive.pitt.edu/id/eprint/14894

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