As a side point, it's not. Such counters click down from 0 to the maximum count since they can't represent a negative. Temperature is different—arguably, the more fundamental parameter is the reciprocal 1/T, which is positive in most familiar systems but can in some circumstances swing below zero. This implies (very weirdly) that the temperature shoots up to ∞ and then to -∞. Again, it takes special effort to construct such a system; it won't occur around the house.