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Mathematics as natural science
Journal of Symbolic Logic, 1990Mathematics is a natural science whose great generality makes many philosophers think of it as a supernatural science, consisting of truths derived independently of experience about objects not given in experience. Some mathematicians, like Simpson [16], try to defend mathematics from the resulting objection that it is merely a mental game by first ...
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Access to Mathematics and Science
2008The task of entering into careers in math and science is one of difficulty for all students. For the visually impaired student, the task is even more daunting. In our STS, we will hear a number of excellent papers and see several exciting demonstrations concerning making math, and therefore science, accessible to the visually impaired.
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Mathematics. A Science of Patterns?
Synthese, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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MATHEMATICS AND THE EXACT SCIENCES
Philosophia Mathematica, 1973Mathematics in its modern set-theoretic form is a purely intellectual development and, apparently, completely independent of its previous form as an integral part of natural philosophy. The evolution of this characteristic provides insight for the nature of mathematics and of the ``exact sciences''. In general, the role of understanding is to furnish a
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Mathematics as a Quasi-Empirical Science
Foundations of Science, 2006In his paper, Gianluigi Oliveri discusses whether Imre Lakatos' Methodology of Scientific Research Programmes (MSRP) can be applied to mathematics (Lakatos presented his MSRPs in [\textit{I. Lakatos}, The methodology of scientific research programmes. Philosophical papers. Vol. 1. Edited by John Worrall and Gregory Currie.
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SCIENCE, SETI, AND MATHEMATICS
2013Mathematics is as much a part of our humanity as music and art. And it is our mathematics that might be understandable, even familiar, to a distant race and might provide the basis for mutual communication. This book discusses, in a conversational way, the role of mathematics in the search for extraterrestrial intelligence.
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Mathematics for the Biological Sciences
Technometrics, 1975John J. Buoni +2 more
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2000
The simplest Friedmann models, about which astronomers were still arguing in the late nineteen fifties and sixties are dominated by the equation $${{{{\dot S}^2} + c{k^2}} \over {{S^2}}} = {A \over {{S^3}}}$$ in which Sis the scale factor of the universe, a function of the time, A is a positive constant and kis a topological factor which can be ...
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The simplest Friedmann models, about which astronomers were still arguing in the late nineteen fifties and sixties are dominated by the equation $${{{{\dot S}^2} + c{k^2}} \over {{S^2}}} = {A \over {{S^3}}}$$ in which Sis the scale factor of the universe, a function of the time, A is a positive constant and kis a topological factor which can be ...
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The Mathematization of Science
1990Abstract By 1600 the European scientists were unquestionably impressed with the importance of mathematics for the study of nature. The strongest evidence of this conviction was the willingness of Copernicus and Kepler to overturn the accepted laws of astronomy and mechanics and religious doctrines for the sake of a theory which in their ...
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