Andre is very polite, I call such a subculture "ghetto", and Benabou calls it "Category land". Joyal wrote:
Dear David,
I appreciate your view. I would love to have the dictatorial power to reform the mathematical vocabulary. I dream of kicking out long words like diffeomorphism and homeomorphism. I guess that if they have persisted in mathematics, it is because everybody understand them.
It is very difficult to impose a new terminology. There is a social aspect to the problem. Even if small group of peoples agree in using a new terminology, this may have little influence on the larger community. The new word may become a tag for identifying the members of a group. It may enclose its user into a sub-culture.
Best, andré
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