Gas pressure increases with temperature. The increase is proportional to the percentage increase of the temperature over absolute zero. Absolute zero is -273 degrees C which is even colder than Minnesota.

So to double the pressure you have to get to from 0 degrees C (freezing point of water), you have to go to 273 degrees C which is something like 400 degrees farenheit. So inflating your tire at low temperatures will not result in dangerously high pressures at shirt sleeve temperatures. Bike tires are generally made to blow off the rim at 2X the recommended pressure (or so I have heard).