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This is a question of terminological convention rather than mathematics. Does "large cardinal" refer specifically to something in the context of ZF/ZFC, or can it be used for other theories (in particular Zermelo set theory Z, which is ZF without the axiom of replacement)? If I understand correctly, Z doesn't prove the existence of , so I'm asking whether this cardinal would be considered "large" in Z in some reasonably normal terminology (not that anyone nowadays talks about Z that much in the first place). Thanks. 69.228.171.139 (talk) 07:45, 13 June 2012 (UTC)