I have a device that displays three numbers when a button is pressed. If any two numbers are different then one of the numbers is the exact room temperature but no telling which one it is.
If all the numbers are the same number I don't have any reason to think the displayed number would be the room temperature. In a way I have two info channels "did the button pressing result in a temperature reading?" and "if there was a temperature reading what it tells me about the true temperature?". The first of these channels doesn't tell me anything about the temperature but it tells me about something.
Or I could have three temperature meters one of which is accurate in cold, on in moderate temperatures and one in hot temperatures. Suppose that cold and hot don't overlap. If all the temperature cauges show the same number it would mean both the cold and hot meters would in fact be accurate in the same temperatures. I can not be more certain about the temperature than the operating principles of the measuring device as the temperature is based on those principles. The temperature gauges showing differnt temperatures supports me being rigth about the operating principles. Them being the same is evidence that I am ignorant on how those numbers are formed.
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