Looking for Those Natural Numbers: Dimensionless Constants and the Idea of Natural Measurement

Science in Context 5 (1):165-188 (1992)
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Abstract

The ArgumentMany find it “notoriously difficult to see how societal context can affect in any essential way how someone solves a mathematical problem or makes a measurement.” That may be because it has been a habit of western scientists to assert their numerical schemes were untainted by any hint of anthropomorphism. Nevertheless, that Platonist penchant has always encountered obstacles in practice, primarily because the stability of any applied numerical scheme requires some alien or external warrant.This paper surveys the history of measurement standards, physical dimensions and dimensionless constants as one instance of the quest to purge all anthropomorphic taint first in the metric system, then in the dimensions provided by the atom, then in physical constants intelligible to extraterrestrials, only then to end up back at overt anthropomorphism in the late 20th century. This suggests that the “naturalness” of natural numbers has always been conceptualized in locally contingent cultural terms.

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References found in this work

The anthropic cosmological principle.John D. Barrow - 1986 - New York: Oxford University Press. Edited by Frank J. Tipler.
Representing and Intervening.Ian Hacking - 1983 - British Journal for the Philosophy of Science 35 (4):381-390.
Representing and Intervening.Ian Hacking - 1987 - Revue de Métaphysique et de Morale 92 (2):279-279.

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