What is an antonym for denomination?

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What is an antonym for denomination

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To denominate means to give a name to something, so the only antonym would be "anonymity" which doesn't really work. The opposite of a denomination would be something that can't be called by a name, or doesn't identify itself by it's name, or is so universal as to have nothing to distinguish it from anything else. "Catholic" means universal, so in some ways, this is a good opposite for "denominational," but Roman Catholicism is certainly a denomination too.