2024/02/28 by Christian Antić, Antić, Christian
Health Professions · Social Sciences · Arts and Humanities · #Infant Health and Development #Educational and Social Studies #Linguistics and Cultural Studies
paper · pdf · doi:10.48550/arxiv.2402.18360
The author has recently introduced abstract algebraic frameworks of analogical proportions and similarity within the general setting of universal algebra. The purpose of this paper is to build a bridge from similarity to analogical proportions by formulating the latter in terms of the former. The benefit of this similarity-based approach is that the connection between proportions and similarity is built into the framework and therefore evident which is appealing since proportions and similarity are both at the center of analogy; moreover, future results on similarity can directly be applied to analogical proportions.