Suppose a blind person wanted to know whether a switch (such as a light switch) was on or off (also suppose the switch was vertical.
Wouldn't it be natural to think that top (=1), would mean on, and bottom (=0), would mean off.
You think about the scenarios (I might edit the question, later).
But then what if more than one switch was connected to the same light? For the case of two switches
U: SameOrientation = {((0,1), (0,1)), ((1,0), (1,0))}
V: DifferentOrientation = {((0,1), (1,0)), ((1,0), (0,1))}
for which there are only two possible electrical wiring configurations:
U = Off, V = On
or
U = On, V = Off
In both cases, for the switches to "be standard", both switches would need to communicate, via a circuit, so that when one would be propped on, the other one would switch on as well (just the same if one is switched off: and the other switch automatically switches off as well).
Any other ideas, or views?