  Arguments have been advanced for and against category theory as a foundational framework. (Blass 1984 surveys the relationships between category theory and set theory. Feferman 1977, Bell 1981, and Hellman 2003 argue against category theory. See Marquis 1995 for a quick overview and proposal and McLarty 2004 and Awodey 2004 for replies to Hellman 2003.) The debate has advanced slowly but surely. It has been recognized that it is possible to present a foundational framework in the language of category theory, be it in the form of the Elementary Theory of the Category of Sets, ETCS, or a category of categories, of Makkai Structuralist foundations for abstract mathematics, SFAM. Thus, it seems that the community no longer question the logical and the conceptual autonomy of these approaches, to use the terminology introduced by Linnebo &amp; Pettigrew 2011. The main issue seems to be whether one can provide a philosophically satisfying justification for one of those framework. (See Hellman 2013, Landry 2013, Marquis 2013b, McLarty 2018.)