Prerequisites for quantification in the empirical sciences

The present paper discusses the usual classification of qualitative, comparative and quantitative concepts in the language of empirical sciences. The quantification of empirical properties is introduced on the basis of quasi-serial order formed by means of implicitly defined qualitative and comparative concepts and the concept of relative coincidence. The paper introduces conditions of additivity of quantitative concepts relative to the fundamental concepts of quasi-serial order and the corresponding aggregative operations which are based on analogues of Tarski's postulates for the operation of addition.