From Electricity Demystified (Stan Gibilisco):
Kirchhoff's Voltage Law arises from the fact that a potential difference can't exist between any circuit point and itself! A corollary to this is that a potential difference can't exist between any two points that are directly connected by a perfect conductor (that is, one that has theoretically zero resistance).
I had thought that there is an inherent potential difference between the substances at the anode and cathode of the battery. Connecting those with a wire (even a perfect conductor) would not cancel this potential. What am I missing?

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