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Axiomatic set theory and unincreasable infinity
Applied Mathematical Sciences, 2014 In this paper we propose a reflection on the use of axiomatic set theory as a fundamental tool to address the foundational issues of mathematics. In particular, we focus on the key concept of infinity, indeed the strongest kind of infinity which may be conceived (what is referred to as “the Absolute” by Cantor), as we aim to show how the point of view ...
CUTOLO, RAFFAELLA +2 more
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, 1965 An analysis of the well known paradoxes found in intuitive set theory has led to the reconstruction of set theory by axiomatic means. This exposition is devoted to Zermelo-Fraenkel set theory with some changes made by Suppes. The first order predicate calculus is presupposed.
Smit, Ronald P.
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, 2023 In this paper, we study the new axiomatic set theory. Here we give the new exact definition of the concept of sets and the proof of its existence theorem by using the axiomatic method.
1722 +5 more
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Axiomatic Characterizations of Information Measures
Entropy, 2008 Axiomatic characterizations of Shannon entropy, Kullback I-divergence, and some generalized information measures are surveyed. Three directions are treated: (A) Characterization of functions of probability distributions suitable as information measures. (
Imre Csiszár
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Vopěnkova Alternativní teorie množin v matematickém kánonu 20. století
Filosofický časopis, 2022 Vopěnka’s Alternative Set Theory can be viewed both as an evolution and as a revolution: it is based on his previous experience with nonstandard universes, inspired by Skolem’s construction of a nonstandard model of arithmetic, and its inception has been
Haniková, Zuzana
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Coherent Diversification Measures in Portfolio Theory: An Axiomatic Foundation
Risks, 2022 We provide an axiomatic foundation for the measurement of correlation diversification in a one-period portfolio model. We propose a set of eight desirable axioms for this class of diversification measures.
Gilles Boevi Koumou, Georges Dionne
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The Problem of Quantifying Utility
Статистика и экономика, 2021 Purpose of the study. Analysis of the literature shows that the ordinal theory of utility is widespread in the theory of consumer behavior. To analyze consumer preferences, a utility function is used, which characterizes the value of the utility of the ...
V. M. Romanchak
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Forecasting Innovative Development of a Company in the Process of Transformation [PDF]
SHS Web of Conferences, 2020 Innovation is traditionally considered to be an effective instrument of development for industrial enterprises, even at the time of crisis. However, as practical observations show, non-systematic and inconsistence innovative changes may lead to poor ...
Shvaika Olga, Kupriyanova Marina
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Selection of industrial robot using axiomatic design principles in fuzzy environment [PDF]
Decision Science Letters, 2015 Nowadays, industrial robots are being pervasively used in almost every manufacturing organization for improving operational quality, safety and productivity.
Anant V. Khandekar , Shankar Chakraborty
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A system of axiomatic set theory. II [PDF]
Journal of Symbolic Logic, 1941 The reader of Part VI will have noticed that among the set-theoretic models considered there some models were missing which were announced in Part II for certain proofs of independence. These models will be supplied now.Mainly two models have to be constructed: one with the property that there exists a set which is its own only element, and another in ...
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