Open-minded

They understand and appreciate their own cultures and personal histories, and are open to the perspectives, values and traditions of other individuals and communities. They are accustomed to seeking and evaluating a range of points of view, and are willing to grow from the experience

Adj.
1.
open-minded - ready to entertain new ideas; "an open-minded curiosity"; "open-minded impartiality"
broad-minded - inclined to respect views and beliefs that differ from your own; "a judge who is broad-minded but even-handed"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2008 Princeton University, Farlex Inc.

open-minded
adjective unprejudiced, liberal, free, balanced, catholic, broad, objective, reasonable, enlightened, tolerant, impartial, receptive, unbiased, even-handed,dispassionate, fair-minded, broad-minded, undogmatic I have always been open-minded about sex.
prejudiced, biased, uncompromising, bigoted, dogmatic, intolerant, opinionated, narrow-minded, pig-headed
Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002