Classification Quotes - page 3
While mere process of thinking is the process of habits, ideals, definitions, investigations, classifications, valuations and behavior, due process of thinking, which is due process of law, is the process of correct habits, right ideals, true definitions, sincere investigation, reasonable classification, reasonable value, and justice; whereas its opposite, undue process, is perverse habit, wrong ideals, double meanings, partial investigation, class legislation, confiscation and injustice.
John R. Commons
Algebraic geometry has developed in waves, each with its own language and point of view. The late nineteenth century saw the function-theoretic approach of Riemann, the more geometric approach of Brill and Noether, and the purely algebraic approach of Kronecker, Dedekind, and Weber. The Italian school followed with Castelnuovo, Enriques, and Severi, culminating in the classification of algebraic surfaces. Then came the twentieth-century "American" school of Chow, Weil, and Zariski, which gave firm algebraic foundations to the Italian intuition. Most recently, Serre and Grothendieck initiated the French school, which has rewritten the foundations of algebraic geometry in terms of schemes and cohomology, and which has an impressive record of solving old problems with new techniques. Each of these schools has introduced new concepts and methods.
Robin Hartshorne
Vibrant human diversity is now commonplace in major cities throughout the world. Some celebrate such a mix of human diversity. Others deplore it, preferring that so-called races be separated both geographically and reproductively. Even today, some people retain the once-popular belief that the 'white' race is superior in intellect, health, and other attributes. Although far more people reject the notion of white supremacy today than in the past, its legacy remains, as evidenced by economic stratification, ongoing segregation, and classification by racial categories. Even among those who reject the supposed superiority of a particular ethnicity over any other, the perception of distinct, genetically determined human races often persists.
Daniel J. Fairbanks