You don’t feel temperature. You can only feel heat transfer: you can feel losing heat and gaining heat. For example, when a breeze blows, or you stand in front of a fan, you feel cooler, but the temperature hasn’t actually changed! Rather, your body releases some heat and that heat stays close to your skin; when a wind blows away that warmer air near your skin, your body loses more heat to the air to recreate that layer. This is also how jackets and blankets work; they trap in the warm air your body heats up. And it’s also why metal tends to feel very hot or very cold. It isn’t hotter or colder than the environment, but metal transmits heat very, very well, so the heat transfer happens quickly, which is why you feel it so much.
Note that these processes aren’t *active* processes. Your body doesn’t *release* heat as some sort of activity. It’s just two items of different temperatures coming to thermal equilibrium, except that your body produces its own heat all the time to replace the lost heat.
When you have a fever, you are warmer, so you lose more heat to the air around you, and therefore you feel colder. If your fever is 101°F, your 69°F room feels like it’s 67°, which is a little on the cold side.
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