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Randomness and Mathematical Proof
Scientific American, 1975Abstract The first is obviously constructed according to a simple rule; it consists of the number 01 repeated 10 times. If one were asked to speculate on how the series might continue, one could predict with considerable confidence that the next two digits would be O and 1.
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Granularity Analysis for Mathematical Proofs
Topics in Cognitive Science, 2013AbstractMathematical proofs generally allow for various levels of detail and conciseness, such that they can be adapted for a particular audience or purpose. Using automated reasoning approaches for teaching proof construction in mathematics presupposes that the step size of proofs in such a system is appropriate within the teaching context.
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Informal Proofs and Mathematical Rigour
Studia Logica, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Intentional Gaps In Mathematical Proofs
Synthese, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical Proof and Experimental Proof
Philosophy of Science, 1966In studies of scientific methodology, surprisingly little attention has been given to tests of hypotheses. Such testing constitutes a methodology common to various scientific disciplines and is an essential factor in the development of science since it determines which theories are retained.
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Practical online assessment of mathematical proof
International Journal of Mathematical Education in Science and Technology, 2022Robert T Bickerton, C J Sangwin
exaly
2006
In this short paper it is shown that in mathematics since to believe something must equal to prove something, it is quite impossible to believe something, and yet to have no proof.
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In this short paper it is shown that in mathematics since to believe something must equal to prove something, it is quite impossible to believe something, and yet to have no proof.
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Operationalizing authentic mathematical proof activity using disciplinary tools
Journal of Mathematical Behavior, 2022Kathleen Melhuish +2 more
exaly