Concerning the integration of sciences: Kinds and stages

The detailed analysis allows to discern seven kinds of integration, namely: I₁ consisting in the synthesis of scientific disciplines from their elements, including disciplinary unification I₁; I₂ inclusion of a science in (reduction to) another, more general; I₃ — links between different sciences, especially establishing of common elements; I₄ — interdisciplines bridging various sciences; I₅ — combination of two (or more) disciplines into a new (complex) science; I₆ — a general approach to several domains or multidisciplinary unification; I₇ — transdisciplinary sciences about relations of the same type in various traditional domains. These kinds of integration are interwoven with processes of differentiation, viz. D₁ — internal differentiation of the sciences resulting of I₁; D₂ — interdisciplinary differentiation concomitant I₄, and D₃ — specialization of I₇ sciences in several sections. As a result integration and differentiation are combined in the pairs I₁ — D₁, I₇ — D₃, and D₂ — I₄. The processes of integration (and differentiation) may be presented schematically in the following (not strictly isolated one of another) sequence: in the 17th century started I₁ followed by D₁, and in the last decades by I₁ during the 18th and the 19th c. cases of I₂ and I₃ appear; I₄ (together with D₂) is unfolding since the late 19th century. Finally, I₇ (and D₃), as well as I₅ and I₆ pertain to the latter half of our century. Representative are for one thing I₁, I₄, and I₇ outlining the main stages of integration and at the same time connected with respective kinds of differentiation.