The threshold of pain is the point at which pain begins to be felt. It is an entirely subjective phenomenon. The intensity at which a stimulus (e.g., heat, pressure) begins to evoke pain is the threshold intensity. So, if a hotplate on a person's skin begins to hurt at 42°C (107°F), then that is the pain threshold temperature for that bit of skin at that time. 42°C is not the pain threshold, it is the temperature at which the pain threshold was crossed.
The intensity at which a stimulus begins to evoke pain varies from individual to individual and for a given individual over time.
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