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Mathematical proof: from mathematics to school mathematics [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019 Proof plays a central role in developing, establishing and communicating mathematical knowledge. Nevertheless, it is not such a central element in school mathematics. This article discusses some issues involving mathematical proof in school, intending to characterize the understanding of mathematical proof in school, its function and the meaning and ...
Rocha H.
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Mathematical Proof and Discovery Reductio ad Absurdum
Informal Logic, 2008 The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discovery are examined, illustrated with elementary and progressively sophisticated examples, and explained.
Dale Jacquette
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Lakatos and Hersh on Mathematical Proof
Journal of Philosophical Investigations, 2015 The concept of Mathematical Proof has been controversial for the past few decades. Different philosophers have offered different theories about the nature of Mathematical Proof, among which theories presented by Lakatos and Hersh have had significant ...
Hossein Bayat
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These Course Notes provide an introduction to mathematical proofs for undergraduate students transitioning from computational calculus to abstract mathematics. Topics include propositional logic, proof techniques, mathematical induction, fields, sets and relations, sequences and series, completeness of the real numbers, cardinality, and related ...
Shuang Zhou (339964) +1 more
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Essays on Mathematical Geography
, 1986 A collection of essays intended to show the range of power in applying pure mathematics to human systems. There are two types of essay: those which employ tranditional mathematical proof, and those which do not.
Arlinghaus, Sandra Lach
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What should be the object of research with respect to the notion of mathematical proof? [PDF]
, 2019 Despite its central place in the mathematics curriculum the notion of mathematical proof has failed to permeate the curriculum at all scholastic levels. While the concept of mathematical proof can serve as a vehicle for inculcating mathematical thinking,
Mtetwa, David J +5 more
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Uniciencia, 2022 The objective of this study is to characterize the knowledge of mathematics teachers in initial training (MTITs) at the Universidad Nacional (Costa Rica) on the logic-syntactic and mathematical aspects involved in proving, when evaluating mathematical ...
Christian Alfaro-Carvajal +2 more
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Lietuvos Matematikos Rinkinys, 2023 Usually, proofs of mathematical statements involve both algebraic rearrangements and logical reasoning. But there are mathematical statements whose truth is obvious at first glance when there is a diagram illustrating that proof.
Edmundas Mazėtis +1 more
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On Proof and Progress in Mathematics [PDF]
Bulletin of the American Mathematical Society, 1994 In response to Jaffe and Quinn [math.HO/9307227], the author discusses forms of progress in mathematics that are not captured by formal proofs of theorems, especially in his own work in the theory of foliations and geometrization of 3-manifolds and dynamical systems.
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Mathematical Logic: Proof Theory, Constructive Mathematics [PDF]
, 2023 The Workshop "Mathematical Logic: Proof Theory, Constructive Mathematics" focused on proof-theoretic research on the foundations of mathematics, on the extraction of explicit computational content from given proofs in core areas of ordinary mathematics ...
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