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  1. Guillermo Restrepo (2013). To Mathematize, or Not to Mathematize Chemistry. Foundations of Chemistry 15 (2):185-197.
    By analysing a contemporary criticism to the so called “mathematical chemistry”, we discuss what we understand by mathematizing chemistry and its implications. We then pass to ponder on some positions on the subject by considering the cases of Laszlo, Venel and Diderot, opponents to the idea of mathematization of chemistry. In contrast, we analyse some scholars’ ideas on the fruitful relationship between mathematics and chemistry; here Dirac and Brown are considered. Finally, we mention that the mathematical–chemistry relationship should be considered (...)
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  2. Guillermo Restrepo & José L. Villaveces (2012). Mathematical Thinking in Chemistry. Hyle 18 (1):3 - 22.
    Mathematical chemistry is often thought to be a 20th-century subdiscipline of chemistry, but in this paper we discuss several early chemical ideas and some landmarks of chemistry as instances of the mathematical way of thinking; many of them before 1900. By the mathematical way of thinking, we follow Weyl's description of it in terms of functional thinking, i.e. setting up variables, symbolizing them, and seeking for functions relating them. The cases we discuss are Plato's triangles, Geoffroy's affinity table, Lavoisier's classification (...)
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  3. Guillermo Restrepo & José Villaveces (2011). Chemistry, a Lingua Philosophica. Foundations of Chemistry 13 (3):233-249.
    We analyze the connections of Lavoisier system of nomenclature with Leibniz’s philosophy, pointing out to the resemblance between what we call Leibnizian and Lavoisian programs. We argue that Lavoisier’s contribution to chemistry is something more subtle, in so doing we show that the system of nomenclature leads to an algebraic system of chemical sets. We show how Döbereiner and Mendeleev were able to develop this algebraic system and to find new interesting properties for it. We pointed out the resemblances between (...)
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  4. Guillermo Restrepo & Leonardo Pachón (2007). Mathematical Aspects of the Periodic Law. Foundations of Chemistry 9 (2):189-214.
    We review different studies of the Periodic Law and the set of chemical elements from a mathematical point of view. This discussion covers the first attempts made in the 19th century up to the present day. Mathematics employed to study the periodic system includes number theory, information theory, order theory, set theory and topology. Each theory used shows that it is possible to provide the Periodic Law with a mathematical structure. We also show that it is possible to study the (...)
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