Results 1 to 10 of about 61,628 (310)
A sequent calculus for limit computable mathematics
Annals of Pure and Applied Logic, 2008 Abstract We introduce an implication-free fragment PA inf + - Exch of ω -arithmetic, having Exchange rule for sequents dropped. Exchange rule for formulas is, instead, an admissible rule in PA inf + - Exch .
Stefano Berardi, Yoriyuki Yamagata
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Gödel’s Disjunction: The Scope and Limits of Mathematical Knowledge [PDF]
History and Philosophy of Logic, 2018 Austrian-born Kurt Godel is widely considered the greatest logician of modern times. It is above all his celebrated incompleteness theorems—rigorous mathematical results about the necessary limits ...
Panu Raatikainen
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PythagorasThe purpose of this article is to conduct a mathematical and phenomenological comparison of three concepts: (1) the finite limit of a function at a point, (2) the finite limit of a sequence, and (3) the infinite limit of a sequence.
Mónica Arnal-Palacián +2 more
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Obtaining Information about Nature with Finite Mathematics
Proceedings, 2021 The main goal of this presentation is to explain that classical mathematics is a special degenerate case of finite mathematics in the formal limit p→∞, where p is the characteristic of the ring or field in finite mathematics.
Felix Lev
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Probabilistic thinking in prospective teachers from the use of TinkerPlots for simulation: Hat problem [PDF]
Journal of Pedagogical Research, 2022 Solving real-life problems through mathematical modeling is one of the aims of modern mathematics curricula. For this reason, prospective mathematics teachers need to acquire modeling skills and use these skills in learning environments in terms of ...
Timur Koparan +1 more
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Tạp chí Khoa học, 2023 This paper establishes a mean convergence theorem for triangular arrays of rowwise and pairwise mn-dependent random variables. Some authors studied limit theorems for sequences of pairwise m-dependent random variables where m is fixed (see, e.g ...
Le Van Thanh, Pham Nhu Y
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Characterizing Mathematics Anxiety and Its Relation to Performance in Routine and Adaptive Tasks
Journal of Numerical Cognition, 2022 Mathematics anxiety hinders students' mathematical achievement already in primary school, but research on its effects beyond whole number knowledge is limited. The main aim of the current study is to examine how state and trait mathematics anxiety relate
Hilma Halme +3 more
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Discussion of foundation of mathematics and quantum theory
Open Mathematics, 2022 Following the results of our recently published book [F. Lev, Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory. With Applications to Gravity and Particle Theory, Springer, 2020, ISBN 978-3-030-61101-9], we discuss ...
Lev Felix M.
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Heliyon, 2021 The notion of limit is one of the fundamental concepts which underpins advanced calculus of one or more variables in the field of analysis. However, understanding the concept of limit has been an impenetrable problem for many students in Ethiopian ...
Mulat Gebeyehu Baye +2 more
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