Disdain can range from mild dislike to intense loathing. Context determines the severity. His mild disdain for fast food doesn't compare to his intense disdain for dishonesty.
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Power Dynamics
Often implies a sense of superiority by the person feeling disdain. She viewed his humble beginnings with disdain, believing her wealth made her superior.
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Nonverbal Clues
Disdain can be expressed through facial expressions, tone, or posture, not just words. His look of disdain made it clear he didn't approve of the amateur performance.