History and Philosophy of Physics


Perfect Symmetry: A Short Philosophical Note on Math Rebuilt from Ancient Atomism

Authors: Espen Gaarder Haug

In this paper we point out an interesting asymmetry in the rules of fundamental mathematics between positive and negative numbers. We suggest an alternative (additional) number system rooted in ancient atomism; see, for example, Guthrie (1965); Pyle (1995); Taylor (1999); Grellard and Robert (2009). At several points in history, leading philosophers and scientists have thought that atomism could be the fundamental ex- planation of everything. Ancient atomism basically claims that everything consists of indivisible particles traveling in the void. If this is true, then we will see that everything comes in quanta (whole units) and fractional parts do not exist. Accordingly, in math developed from atomism there are no imaginary numbers.

Comments: 3 Pages.

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Submission history

[v1] 2018-05-27 02:50:47

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