Can I install two thermostats to control one furnace?

We have two thermostats and only 1 furnace. We never have both turned on for the furnace - reason being, the furnace would run almost constantly between the two locations calling for heat and when it does run, heat comes thru every vent anyway just like it does with only 1 turned on. What are you trying to accomplish by having 2 hooked up? If you want to bump it up from in bed in the morning before getting up to let it warm a bit first, that would work as long as you later turned 1 of them off.