EN
The first part of this paper presents the fundations and some properties of the inclusive theory of quantification and analyses the relationship between inclusive and standard quantification theory. Some arguments concerning application of the inclusive theory instead of the standard theory have been discussed too. The second part of the article presents some versions of the inclusive theory of quantification formulated by: Mostowski (1951), Hailperin (1953), Quine (1954), Meyer and Lambert (1968).