Cooling in space is actually very difficult. While unlit space can be thought of as "cold" (ie you're in thermal equilibrium with a very cold resevoir) vacuum i

Cooling in space is actually very difficult. While unlit space can be thought of as "cold" (ie you're in thermal equilibrium with a very cold resevoir) vacuum is an incredible insulator so once you get any heat coming in (including the onslaught of heat from the local giant nuclear fireball) it's very difficult to dissipate. More generally, ambient temperature is irrelevant, what matters is heat transfer rates. If you just stick something someplace cool, it'll heat up. You need something like a flowing river to carry the heat away. This is one reason that things like power plants tend to be built on rivers. For things like computing, total heat production is much less of an issue and can easily be conveyed away from the building by airflow. The difficulty is cooling within the building, as tightly packed server racks are not very conducive to airflow, so you need active cooling.