I have no idea what these last 3 words in the first paragraph mean.
...relationships between historically existing disciplines are discussed in ascending, descending, analytical or synthetical manner under headings like "reductionism", "emergentism" or "supervenience". ...

Certainly a chemist cannot do without some parts and some procedures that belong to the realm of physics and a
physicist cannot enter some research fields without chemical knowledge. The same holds for the relationship between biology and chemistry resp. physics. mathematics on the other hand is used by the other sciences as a tool, this fact not meaning however, that mathematics is exhausted in this aiding function or that the "applied" mathematics used by natural scientists coincide with aims,
methods and style of "pure" mathematics. ...

the incorporation of special scientific disciplines in the social context (i.e. the role of the disciplines in the
universities, the industry, and in the general cultural development by providing action-guiding views of the world and of human life) establish themselves at and across the boundaries of the disciplines, as they have been defined from the scientists and the society or as they have practically grown during the scientific enterprise.

http://staff-www.uni-marburg.de/~psarros/erl3.html