I answer the question ‘‘Why are there more small things in the world than large things?’’ in terms of a probabilisitc model of partitioning a conserved quantity. Benford’s empirical rule for lists of numbers, that the proportion of numbers with first digit m is log10(m+1)−log10 m, is an exact consequence of the model.
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Papers| September 01 1986
Don S. Lemons; On the numbers of things and the distribution of first digits. Am. J. Phys. 1 September 1986; 54 (9): 816–817. https://doi.org/10.1119/1.14453
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