have a closed mind

have amind unable or unwilling to accept new ideas, consider other opinions

 I can't debate with someone that has a closed mind and... when cornered,
completely makes up their own facts to back up their arguments. Google

But trying to tell that to someone
who has a closed mind and is convinced otherwise is a waste of time.  Google

On the other hand, if one has a closed mind the possibilities for the what if will
never come to be experienced.  Google

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