Inconsistency in Mathematics and Inconsistency in Chemistry

Humana Mente 10 (32):31-51 (2017)
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Abstract

In this paper, I compare how it is that inconsistencies are handled in mathematics to how they are handled in chemistry. In mathematics, they are very precisely formulated and identified, unlike in chemistry. So the chemists can learn from the precision and the very well-worked out strategies developed by logicians and deployed by mathematicians to cope with inconsistency. Some lessons can also be learned by the mathematicians from the chemists. Mathematicians tend to be intolerant towards inconsistencies. There are some philosophers of chemistry who attribute to chemists, collectively, a more tolerant attitude towards inconsistency, and so, mathematicians can learn from the chemists’ attitude to inform their choice of strategies.

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Michele Friend
George Washington University

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References found in this work

Is Water H2O? Evidence, Realism and Pluralism.Hasok Chang - 2012 - Boston Studies in the Philosophy and History of Science.
Rethinking Knowledge: The Heuristic View.Carlo Cellucci - 2017 - Cham, Switzerland: Springer.
Notes on inconsistent set theory.Zach Weber - 2013 - In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. pp. 315--328.

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