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Algorithms in Pure Mathematics
2001In this article, we will discuss algorithmic group theory from the point of view of pure mathematics. We will investigate some of the problems and show why many problems are accessible just for a few years. In algebra there are many problems, which are easy to state, sometimes even easy to prove, and where one might be surprised that there is no ...
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Mathematical Modeling and Pure Mathematics
Mathematics Teaching in the Middle School, 2015Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics.
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Goethe’s Views on Pure Mathematics
The Germanic Review: Literature, Culture, Theory, 1956(1956). Goethe’s Views on Pure Mathematics. The Germanic Review: Literature, Culture, Theory: Vol. 31, No. 1, pp. 49-69.
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RANDOMNESS AND COMPLEXITY IN PURE MATHEMATICS
International Journal of Bifurcation and Chaos, 1994One normally thinks that everything that is true is true for a reason. I’ve found mathematical truths that are true for no reason at all. These mathematical truths are beyond the power of mathematical reasoning because they are accidental and random.
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Mathematical Models in Pure and Applied Mathematics
2020The concepts of the mathematical model in pure and applied mathematics are analyzed, as well as the concepts of rigor proof and degree of confidence. The role of asymptotic estimations as basis for mathematical modeling is analyzed.
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Philosophy of Science, 1999
Much of the current thought concerning mathematical ontology and epistemology follows Quine and Putnam in looking to the indispensable application of mathematics in science. A standard assumption of the indispensability approach is some version of confirmational holism, i.e., that only “sufficiently large” sets of beliefs “face the tribunal of ...
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Much of the current thought concerning mathematical ontology and epistemology follows Quine and Putnam in looking to the indispensable application of mathematics in science. A standard assumption of the indispensability approach is some version of confirmational holism, i.e., that only “sufficiently large” sets of beliefs “face the tribunal of ...
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Voevodsky's unfinished project: Filling the gap between pure and applied mathematics
BioSystems, 2021Andrei Rodin
exaly