Ok, it's one magnet using both its N & S poles, ea into one set of pole pieces. I agree that this would seem to confuse a string. It certainly confuses me.
Nevertheless, see
https://en.wikipedia.org/wiki/Humbucker:How humbuckers workIn any magnetic pickup, a vibrating guitar string, magnetized by a fixed magnet within the pickup, induces an alternating voltage across its coil(s). However, wire coils also make excellent antennae and are therefore sensitive to electromagnetic interference caused by alternating magnetic fields from mains wiring (mains hum) and electrical appliances like transformers, motors, and computer screens, especially the older CRT monitors. Guitar pickups reproduce this noise, which can be quite audible, sounding like a constant hum or buzz. This is most noticeable when using distortion, fuzz, compressors, or other effects which reduce the signal-to-noise ratio and therefore amplify the unwanted interference relative to the signal from the strings.
The direction of voltage induced across a coil by the moving string depends on both the coil winding direction and the polarity of the fixed magnet. On the other hand, the direction of current induced by external fields is only dependent on the direction of winding. Therefore, a humbucker has two coils wound in such a way to cancel hum and maximize signal when they are connected. By convention, humbucker coils are both wound counterclockwise; however, typically the outside ends of the coils are connected together so that the coil starts are out of phase. The magnets in the two coils are arranged with opposite polarity so that the string motion induces voltages across both coils that become additive (exactly the opposite of phase cancellation) when the coils are wired in this manner. Electromagnetic interference induces identical, or almost identical voltage across both coils, because they are directly adjacent, and therefore pick up the same interference. When the signals from both coils are summed together, the two noise voltages cancel each other out, while the signal voltages add.[7] This dramatically improves the signal-to-noise ratio. The technique has something in common with what electrical engineers call "common-mode rejection", and is also found in the balanced lines used in audio equipment.
The arrangement of the humbucker coils to achieve reverse current flow with opposite magnetic polarity in each coil is known as Reverse Wound, Reverse Polarity, or RWRP for short. This nomenclature does not indicate that the coils are wound in opposition, but that the current flows in opposition.
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I did not realize these things.