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contrary2
1 contrary ideas, opinions, or actions are completely different and opposed to each other :
Two contrary views emerged.
The men shouted contrary orders.
Two contrary views emerged.
The men shouted contrary orders.2 used to say that something is true even though people believe the opposite :
Contrary to popular belief, a desert can be very cold.
contrary to popular belief/opinion
Contrary to popular belief, a desert can be very cold.3 formalHEM a contrary wind is not blowing in the direction you want to sail
