Ayn Rand’s solution to the problem lies in her discovery that there is an essential connection between concept-formation and mathematics. Since mathematics is the science of measurement, let us start by considering the nature and purpose of measurement.
“Measurement,” writes Miss Rand, “is the identification of a relationship—a quantitative relationship established by means of a standard that serves as a unit.”
The process of measurement involves two concretes: the existent being measured and the existent that is the standard of measurement. Entities and their actions are measured by …
Read the rest in Objectivism: The Philosophy of Ayn Rand.