Cellphone? IMHO, it's the single most important component of urban EDC gear, followed by a flashlight. (My cell phone has a built-in led light which is used by the camera for self-portraits. Not very powerful, but nice to know about in a pinch.)

All that being said, I carry several pounds of gear in my pockets, so the notion of a minimal EDC is alien to me.

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"When I read about the evils of drinking, I gave up reading." Henny Youngman