Proceedings of the XIX FAMEMS'2020 Conference and the V Workshop on Hilbert's Sixth Problem, Krasnoyarsk: SFU Press, 2020 (original) (raw)

Proceedings of the XVIII FAMEMS'2019 Conference and the IV Workshop on Hilbert's Sixth Problem, Krasnoyarsk: SFU. Part 1: 1-126pp.

Proceedings of the XVIII FAMEMS'2019 Conference and the IV Workshop on Hilbert's Sixth Problem, Krasnoyarsk: SFU. Part 1: 1-127pp., 2019

C o n t e n t s Poddubny Vasil (Tomsk) Analysis of the Influence of Errors in the Values of Attributes of Binary Objects on the Quality of their Recognition Soiguine Alexander (Aliso Viejo, CA USA) Lift of Complex Analysis in Terms of Geometric Algebra Kustitskaya Tatiana (Krasnoyarsk) Statistical analysis of the existence of debt claims for a credit portfolio Baranova Irina (Krasnoyarsk) Applications of sets of bipartite sets of events Blaszynski John and Trevor Blaszynski (Hamilton, Canada) Then there was 𝐻. A History of the Universe. This is Her story Gilin Stepan and Irina Baranova (Krasnoyarsk) Solution of the problem of word recognition in audio records with using of neural networks and Hidden Markov Models Jean Catherine MacPhail (United Kingdom) Complementarity within two examples of the invariance principle in vertical models of consciousness Vorobyev Oleg (Krasnoyarsk) The axiom of experience vs the axiom of chance in the theory of experience and chance Vorobyev Oleg (Krasnoyarsk) Two different dual types of statistical dependencies: the ket-dependence of observations and the bra-dependence of observers Vorobyev Oleg (Krasnoyarsk) The event-based studying the statistical dependency structure of a co∼event Vorobyev Oleg (Krasnoyarsk) Eigen-distribution and fixed-distributions of a co∼event, and the new Bayesian schemes in the theory of experience and chance Vorobyev Oleg (Krasnoyarsk) Two levels of fuzziness in the theory of co∼events Vorobyev Oleg (Krasnoyarsk) Probability and believability distributions of a co∼event that defined by the five new co∼event-based Bayesian theorems Vorobyev Oleg (Krasnoyarsk) How probability theory differs from measure theory

Proceedings of the XVIII FAMEMS'2019 Conference and the IV Workshop on Hilbert's Sixth Problem, Krasnoyarsk: SFU. Part 2: 127-163pp.

Proceedings of the XVIII FAMEMS'2019 Conference and the IV Workshop on Hilbert's Sixth Problem, Krasnoyarsk: SFU., 2019

C o n t e n t s Poddubny Vasil (Tomsk) Analysis of the Influence of Errors in the Values of Attributes of Binary Objects on the Quality of their Recognition Soiguine Alexander (Aliso Viejo, CA USA) Lift of Complex Analysis in Terms of Geometric Algebra Kustitskaya Tatiana (Krasnoyarsk) Statistical analysis of the existence of debt claims for a credit portfolio Baranova Irina (Krasnoyarsk) Applications of sets of bipartite sets of events Blaszynski John and Trevor Blaszynski (Hamilton, Canada) Then there was 𝐻. A History of the Universe. This is Her story Gilin Stepan and Irina Baranova (Krasnoyarsk) Solution of the problem of word recognition in audio records with using of neural networks and Hidden Markov Models Jean Catherine MacPhail (United Kingdom) Complementarity within two examples of the invariance principle in vertical models of consciousness Vorobyev Oleg (Krasnoyarsk) The axiom of experience vs the axiom of chance in the theory of experience and chance Vorobyev Oleg (Krasnoyarsk) Two different dual types of statistical dependencies: the ket-dependence of observations and the bra-dependence of observers Vorobyev Oleg (Krasnoyarsk) The event-based studying the statistical dependency structure of a co∼event Vorobyev Oleg (Krasnoyarsk) Eigen-distribution and fixed-distributions of a co∼event, and the new Bayesian schemes in the theory of experience and chance Vorobyev Oleg (Krasnoyarsk) Two levels of fuzziness in the theory of co∼events Vorobyev Oleg (Krasnoyarsk) Probability and believability distributions of a co∼event that defined by the five new co∼event-based Bayesian theorems Vorobyev Oleg (Krasnoyarsk) How probability theory differs from measure theory

Proceedings of the XVII FAMEMS'2018 Conference and the III Workshop on Hilbert's Sixth Problem, Krasnoyarsk: SFU, 169p. In two files: Part I (pp. 1-90)

Proceedings of the XVII FAMEMS'2018 Conference and the III Workshop on Hilbert's Sixth Problem, Krasnoyarsk, SFU, 169p, ISBN-978-5-9903358-8-2.

Financial and actuarial mathematics Mathematics in the humanities, socio-economic and natural sciences Probability theory and statistics Multivariate statistical analysis Eventology of multivariate statistics Co~eventum mechanics Theory of experience and chance Eventology of safety Eventology of risk and decision-making under risk and uncertainty Philosophy of probability and event Eventological economics and psychology Eventological problems of artificial intelligence Eventological aspects of quantum mechanics information theory Decision-making under risk and uncertainty Risk measurement and risk models Theory of fuzzy events and generalized theory of uncertainty System analysis and events management

Proceedings of the XVII FAMEMS'2018 Conference and the III Workshop on Hilbert's Sixth Problem, Krasnoyarsk: SFU, 169p. In two files: Part II (pp. 91-169)

Proceedings of the XVII FAMEMS'2018 Conference and the III Workshop on Hilbert's Sixth Problem, Krasnoyarsk, SFU, 169p, ISBN-978-5-9903358-8-2., 2018

Financial and actuarial mathematics Mathematics in the humanities, socio-economic and natural sciences Probability theory and statistics Multivariate statistical analysis Eventology of multivariate statistics Co~eventum mechanics Theory of experience and chance Eventology of safety Eventology of risk and decision-making under risk and uncertainty Philosophy of probability and event Eventological economics and psychology Eventological problems of artificial intelligence Eventological aspects of quantum mechanics information theory Decision-making under risk and uncertainty Risk measurement and risk models Theory of fuzzy events and generalized theory of uncertainty System analysis and events management

Proceedings of the XX FAMEMS 2021 Conference VI H’s6P Workshop, 80pp, Krasnoyarsk, SFU Press

Proceedings of the XX FAMEMS 2021 Conference VI H’s6P Workshop, 80pp, Krasnoyarsk, SFU Press, 2021

C o n t e n t s Boucon Jean-Louis (France) Hilbert’s project and the transcendental Blaszynski John and Trevor Blaszynski (Hamilton, Canada) Spring Theory: Life Before and During the Big Bangs Richfield Jon (Stellenbosch, Western Cape, South Africa ) Hilbert-6 — An Uninformed Reaction Richfield Jon (Stellenbosch, Western Cape, South Africa ) Hilbert’s 6th problem, Plesiomorphism, and Meta-axiomatics Urban Roman (Wroclaw, Poland) On interrelation between conceptual spaces, opinion dynamics, and eventology theory Vorobyev Oleg (Krasnoyarsk, Russia) Multivariate discrete distributions, multivariate copulas, and event-probability distributions

Proceedings of the XV FAMEMS-2016 Conference on Financial & Actuarial Math & Eventology of Multivariate Statistics, and the EEC-H’s6P Workshop on Hilbert's Sixth Problem, Krasnoyarsk: SFU, 2016, 261p.

Eventology of multivariate statistics Eventology and mathematical eventology Philosophical eventology and philosophy of probability Practical eventology Eventology of safety Eventological economics and psychology Mathematics in the humanities, socio-economic and natural sciences Financial and actuarial mathematics Multivariate statistical analysis Multivariate complex analysis Decision-making under risk and uncertainty Risk measurement and risk models Theory of fuzzy events and generalized theory of uncertainty System analysis and events management EEC'2016 ~ workshop on axiomatizing experience and chance, and Hilbert's sixth problem With topics from quantum physics, probability and believability to economics, sociology, and psychology, the workshop will be intended for an interdisciplinary discussion on mathematical theories of experience and chance. Topics of discussion include the results, thoughts, and ideas on the axiomatization of the eventological theory of experience and chance in the framework of the decision of Hilbert sixth problem. Eventology of experience and chance Believability theory and statistics of experience Probability theory and statistics of chance Axiomatizing experience and chance

The physics of events: A potential foundation for emergent space-time (2012), arXiv:1209.0881 [math-ph

2016

Everything that is detected or measured is the direct result of some-thing influencing something else. This is the essence of the concept of force, which has become central to physics. By considering both the act of influencing and the response to such influence as a pair of events, we can describe a universe of interactions as a partially-ordered set of events. In this paper, we take the partially-ordered set of events as a fundamental picture of influence and aim to determine what interesting physics can be recovered. This is accomplished by identifying a means by which events in a partially-ordered set can be aptly and consistently quantified. Since, in general, a partially-ordered set lacks symmetries to constrain any quan-tification, we propose to distinguish a chain of events, which represents an observer, and quantify some subset of events with respect to the ob-server chain. We demonstrate that consistent quantification with respect to pairs of observer chains exhibiting a c...

This paper was given as a talk at the conference Foundations of Probability and Physics organized by A. Khrennikov

2001

The acquisition and representation of basic experimental information under the probabilistic paradigm is analysed. The multinomial probability distribution is identified as governing all scientific data collection, at least in principle. For this distribution there exist unique random variables, whose standard deviation becomes asymptotically invariant of physical conditions. Representing all information by means of such random variables gives the quantum mechanical probability amplitude and a real alternative. For predictions, the linear evolution law (Schrödinger or Dirac equation) turns out to be the only way to extend the invariance property of the standard deviation to the predicted quantities. This indicates that quantum theory originates in the structure of gaining pure, probabilistic information, without any mechanical underpinning. I.

Theoretical foundations of eventology. Structures of symmetric events.

II FAM-2003 All-Russian Conference, Krasnoyarsk State University, Krasnoyarsk, 2003

The paper proposes a theory of sets of symmetric events, i.e. sets of events such that the probabilities of the intersection of equally powerful subsets are equal to each other. The properties of the sets of symmetric events are considered in detail, and a number of statements about their event-probability distributions are proved. The proposed theory of sets of symmetric events has numerous applications not only in probability theory but also in physics and other areas of natural science and the humanities.

Preface: Foundations of Probability and Physics-6

2012

This is the 12th conference arranged in Växjö devoted to quantum foundations and quantum information, especially the clarification of fundamental questions—for previous conferences, see Lnu. se/forskargrupper/icmm/conferences. The Växjö series is the longest continuous series of conferences devoted to quantum foundations in the history of quantum mechanics.