When you think you are noticing that something is cold or hot is actually just the direction that heat is moving and the speed at which it is moving.
So, if heat is moving into you, you sense that something is warm, and if the heat is coming in quickly you sense that it is hot. If heat is leaving you, you sense that something is cool. If the heat is leaving you quickly, you sense cold.
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Perhaps one of the best ways to see this is the get three bowls of water: ice water, room temperature water and hot water. Place one hand in the ice water and one hand in the hot water. After several minutes, move both hands to the room temperature water.
The hand that was in the hot water will have warmed up and will be warmer than room temperature. Heat will move from this hand into the water and your brain will sense that the water is cold.
The hand that was in the ice water will have gotten colder than room temperature. Heat will move from the water into this had and your brain will sense that the water is hot.
In simplest terms, your hands will be disagreeing about the temperature of the room temperature water.
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