Advances in Mathematical Chemistry and Applications

Volume 1

by

Subhash C. Basak, Guillermo Restrepo, José L. Villaveces

DOI: 10.2174/97816080592871140101
eISBN: 978-1-60805-928-7, 2014
ISBN: 978-1-60805-929-4
ISSN: 2542-369X (Print)
ISSN: 2352-7668 (Online)



Indexed in: Book Citation Index, Science Edition, EBSCO.

“Advances in Mathematical Chemistry and Applications, Volume 1” highlights the emerging discipline of mathematical chemistry, or, more...[view complete introduction]
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Ordering Thinking in Chemistry

- Pp. 24-41 (18)

Guillermo Restrepo

Abstract

We give some basic mathematical ideas of partially ordered sets (posets), which frame into the mathematical way of thinking illustrated in the Erlangen Programme by Felix Klein. The programme entails extracting relevant variables to study, symbolising them and relating them through a function. We show several examples where the mathematical way of thinking, restricted to partial orders, is found in chemistry. The examples are: Geoffroy’s affinity table, benzene’s structure, posetic predictive methods, multicriteria situations and derivation of concepts. Finally we question the ranking process by showing how it disregards its underlying, and not always recognised, posetic nature.

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