Structure

Intuitively, the concept of structure can be clarified as follows: a structure is a differentiated and ordered interconnection or interrelation of elements or parts or aspects of an entity, a domain, a process, etc. Structuration in this sense involves the negation of both the simple and the unconnected. Structure, in this intuitive sense, is a basic concept or basic factor within any theoretical endeavor. [Lorenz B. Puntel] 
=== Structure in Mathematics ===
In contemporary mathematics and logic, “structure” is central, despite the fact that there is no single, universally accepted terminology interrelating, above all, “structure,” “system,” and “model.” In the broadest mathematical sense, a structure is a collection or an n-tuple consisting of elements (objects, entities of whatever sort) and relations (in a broad sense that includes functions and operations) among these elements. Formally, “structure” is usually defined as a triple, whereby relations are understood narrowly, as not including functions and operations [Lorenz B. Puntel] Structures in the mathematical sense are mathematical rather than linguistic entities or configurations. Such structures can, however, be put into relation to languages. This book considers so relating them to be not a mere possibility, but instead a necessity. The results of such relatings are structures (usually) termed models of the languages (or of “theories” in the strictly formal sense, [i.e., uninterpreted formal systems]). [Lorenz B. Puntel] 
== R ==
Hierarchy; Theoretical framework; Part