Open your/somebody’s mind to something
Definition 1 of 1
Pro Tip 1/3Emotional Growth
Refers to personal development by considering different views or ways of life. 
Studying abroad opened her mind to diverse philosophies.
Pro Tip 2/3Not Literal
It's a metaphor meaning to accept new ideas, not physically opening anything. 
Reading science fiction can open your mind to imaginative possibilities.
Pro Tip 3/3Conversation Starter
Use it to express willingness to understand or discuss new ideas. 
I'm curious. Open my mind to your way of thinking.