anti-dogmatic
In matters of religious doctrine, he was undogmatic, and would assert that relatively little is known about God through scripture and theology.
He was wonderfully undogmatic, open-minded, and always prepared to try again, if it became obvious that something wouldn't work.
The stylistic variety of his music is compelling evidence of an undogmatic creative mind.
She was a popular teacher - undogmatic, approachable, and caring toward her students.

SMART Vocabulary: related words and phrases

Open-minded
anti-liberal
anti-liberalism
big tent
broad-minded
broad-mindedness
inclusively
liberal
liberalism
liberality
liberally
open mind
open-minded
open-mindedly
open-mindedness
permissive society
receptivity
tolerance
tolerant
tolerantly
unblinkered