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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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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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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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Jurnal Pendidikan Matematika dan IPA, 2017 This study aims to know the effect of teaching and learning using Algebraic Stucture materials based on mathematical proof to improve mathematical proof ability. The type of this study is experimental method with One Shot Case Study design. Population in
Jamilah Jamilah, Syarifah Fadillah
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Mathematical Rigor, Proof Gap and the Validity of Mathematical Inference
Philosophia Scientiæ, 2014 Mathematical rigor is commonly formulated by mathematicians and philosophers using the notion of proof gap: a mathematical proof is rigorous when there is no gap in the mathematical reasoning of the proof. Any philosophical approach to mathematical rigor
Yacin Hamami
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Jurnal Elemen, 2023 Argumentation as an aspect of problem-solving has been studied in mathematics education. However, mathematical proof still needs to be resolved further.
Surya Kurniawan +2 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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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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Application of Discovery Learning Method in Mathematical Proof of Students in Trigonometry
Desimal, 2020 Trigonometry is a part of mathematics in learning that is related to angles. The purpose of this study was to determine the effect of the application of discovery learning methods in students' mathematical proof ability on trigonometry.
Windia Hadi, Ayu Faradillah
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Mathematics: Proof of passion [PDF]
Nature, 2013 Marcus du Sautoy is enthralled by a personal journey into mathematics centring on the Langlands program.
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