Literary notes about Homogeneity (AI summary)
In literature, the term homogeneity is often invoked to signify a state of uniformity or consistent quality across a range of contexts—social, mathematical, and philosophical. It is used to describe both the presence and the absence of uniformity: one narrative, for instance, contrasts a lack of homogeneity in European society during the Crusades [1] with other depictions where even a military unit’s effectiveness is hindered by its insufficient uniformity [2]. In more conceptual or technical writings, homogeneity is valued as a precise characteristic essential for clarity and order, as when it is described as a property that must be given with clearness and simplicity [3] or related to the cohesion of spatial or social structures [4, 5].
- European society had no homogeneity when the first crusade was preached.
— from The History of the Crusades (vol. 3 of 3) by J. Fr. (Joseph Fr.) Michaud - There was a sad lack of homogeneity in the squadron, which would render quick and effective manoeuvring extremely difficult.
— from A Chinese Command: A Story of Adventure in Eastern Seas by Harry Collingwood - The important property of homogeneity must be given with clearness and simplicity.
— from The Declaration of Independence of the United States of America by Thomas Jefferson - homogeneity are seen in the desire for identification with the herd in matters of opinion.
— from Introduction to the Science of Sociology by E. W. Burgess and Robert Ezra Park - The axiom is involved in the homogeneity of space, which is the same thing as the axiom of Congruence.
— from An essay on the foundations of geometry by Bertrand Russell
