Thermodynamic paradox
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The Thermodynamic paradox is an argument attempting to use thermodynamics to make deductions about the nature of the universe, specifically it attempts to argue against the steady state model of the universe using reductio ad absurdum.
The argument holds that: If the universe was infinite in extent it would also have to be infinitely old. Any hot object transfers heat to its cooler surroundings, until everything is at the same temperature. For two objects at the same temperature as much heat flows from one body as flows from the other, and the net effect is no change. If the universe was infinitely old there must have been enough time for the stars to cool and warm their surroundings. Everywhere should therefore be at the same (cool) temperature and there should be no stars.
Since there are stars and the universe is not in thermal equilibrium it can not be infinitely old; since it is not infinitely old it can not be infinite in extent.
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