Results 291 to 300 of about 3,238,502 (335)

Mathematical Modeling and Pure Mathematics.

Mathematics Teaching in the Middle School, 2015
solving” in the traditional sense. Word problems embody the hope that external images will lighten the atmosphere in which mathematics is done, but let’s not kid ourselves: the purpose of a word problem is only to practice the mathematics of the current ...
Z. Usiskin
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Wittgenstein on pure and applied mathematics

Synthese, 2014
Some interpreters have ascribed to Wittgenstein the view that mathematical statements must have an application to extra-mathematical reality in order to have use and so any statements lacking extra-mathematical applicability are not meaningful (and hence not bona fide mathematical statements).
R. Dawson
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A Concise Introduction to Pure Mathematics

, 2000
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics.
M. Liebeck
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Theorems in pure mathematics can be proved right but the models used in applied mathematics, natural and social science, as well as in engineering, can at most be “not yet proved wrong”

, 2016
Canadian Journal of Earth Sciences might seem a strange place to publish this commentary, of which the title expresses a familiar widely accepted idea in epistemology—the theory of knowledge.
K. Burke
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Applying Pure Mathematics [PDF]

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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The meaning of pure mathematics

Journal of Philosophical Logic, 1989
In contrast to formalism and Platonism, being two classical approaches to the treatment of the meaning of pure mathematics, the author proposes intentionalism as a viewpoint according to which ``pure mathematics is a description of finite structures consisting of finitely many individually imagined objects''.
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The Halting Probability Omega: Irreducible Complexity in Pure Mathematics

, 2006
.Some Gödel centenary reflections on whether incompleteness is really serious, and whether mathematics should be done somewhat differently, based on using algorithmic complexity measured in bits of information.
G. Chaitin
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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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Mathematical Models in Pure and Applied Mathematics

2020
The 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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On Pure and Applied Mathematics

2000
THE BASELINE between pure mathematics and applied mathematics was a feature of the work of the Los Alamos Laboratory from the very beginning. It was often necessary to introduce concepts and procedures that went beyond methods that had been used previously in engineering and technology. Some new things emerged: for one, the concepts and basic relations
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