id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_ky5dghvo5zflxanqojp5cftnvu	F.A. Muller	Sets, Classes, and Categories	2001	34	.pdf	application/pdf	15882	1130	68	category-theory based on the primitive concept of a set or a class is worthwile to slight but significant deductive extension of Ackermann's theory of sets and classes Hence it is generally held that standard set-theories, notably ZFC and CVN, cannot provide foundations for the whole of mathematics.8 usual set-theoretical operations upon its members, then category-theory can be founded Category Theory involves only objects which are members of the classes V, ℘V, classes, intended to encompas Cantorian set-theory, category-theory and carrying an extended Bourbakian architecture of mathematics consisting of class-structures rather than Category-theory must be founded on our theory of sets and classes Theorem I: the theory of sets and classes ARC is consistent relative to the Theorem II: the consistency of the theory of sets and classes ARC can neither be proved are available as the categories with 'the least structured objects', i.e. plain sets or classes	./cache/work_ky5dghvo5zflxanqojp5cftnvu.pdf	./txt/work_ky5dghvo5zflxanqojp5cftnvu.txt