Results 1 to 10 of about 1,084,937 (314)
Axioms, 2021 We prove some results in set theory as applied to general topology and model theory. In particular, we study ℵ1-collectionwise Hausdorff, Chang Conjecture for logics with Malitz-Magidor quantifiers and monadic logic of the real line by odd/even Cantor ...
Saharon Shelah
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ریاضی و جامعه, 2022 In this article, we have a brief historical overview of the facts around the axiom of choice (AC) in set theory. In this regard, we will state some of the most important equivalents of AC and also some of the weaker forms of AC.
سید محمد امین خاتمی
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STUDENTS’ WAYS OF UNDERSTANDING AND THINKING BASED ON HAREL’S THEORY IN SOLVING SET PROBLEMS
JOHME: Journal of Holistic Mathematics Education, 2023 Ways of thinking (WoT) and Ways of Understanding (WoU) are important in learning mathematics. This study aims to analyze the characteristics of students' ways of thinking (WoT) and ways of understanding (WoU) when solving set problems.
Christina Monika Samosir, Tatang Herman
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Boolean-Valued Set-Theoretic Systems: General Formalism and Basic Technique
Mathematics, 2021 This article is devoted to the study of the Boolean-valued universe as an algebraic system. We start with the logical backgrounds of the notion and present the formalism of extending the syntax of Boolean truth values by the use of definable symbols ...
Alexander Gutman
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The Neutrosophic Axial Set Theory [PDF]
Neutrosophic Sets and Systems, 2022 We presented in this paper a new concept of sets that we launched it neutrosophic axial sets. These sets are considered as generalization of neutrosophic sets. The union relationships, intersection, union, belonging and other concepts were built on these
Mustafa Hasan Hadi, L.A.A. Al-Swidi
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Vikalpa, 2020 Executive Summary In the contemporary time, the reliability of any product has become a big issue from the customer’s perspective due to exponentially mushrooming markets of electronics and digital gadgets.
Palash Dutta, Rupjit Saikia
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Axioms, 2021 It is well known that Zermelo-Fraenkel Set Theory (ZF), despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely many axioms, and it has a countable model due ...
Marcoen J. T. F. Cabbolet
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Entropy, 2021 The evolution of the biosphere unfolds as a luxuriant generative process of new living forms and functions. Organisms adapt to their environment, exploit novel opportunities that are created in this continuous blooming dynamics.
Stuart Kauffman, Andrea Roli
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Set Theory, Dynamism, and the Event: Reinjecting Time into the Foundations of Mathematics
Axioms, 2022 This article concentrates on exploring the relevance of the postmodernist concept of the event to mathematical philosophy and the foundations of mathematics.
Said Mikki
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On the Theories of Triangular Sets
Journal of Symbolic Computation, 1999 Different notions of triangular sets are presented. The relationship between these notions are studied. The main result is that four different existing notions of good triangular sets are equivalent.
Aubry, Philippe +2 more
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