A general theory of ratio scalability with remarks about the measurement-theoretic concept of meaningfulness

@article{Narens1981AGT,
title={A general theory of ratio scalability with remarks about the measurement-theoretic concept of meaningfulness},
author={L. Narens},
journal={Theory and Decision},
year={1981},
volume={13},
pages={1-70}
}

The role of mathematics in empirical science is puzzling, mysterious, and in my opinion has defied rational explanation. Why mathematics should be so enormously productive and effective in the handling of empirical phenomena is clearly an important foundational problem in science, but one for the most part that has been ignored. This is somewhat surprising given the rich theory and the abundance of results that have been developed in the philosophy and foupdations of mathematics. While there… CONTINUE READING