Synonyms of undogmatic

1 Syllable
wide
2 Syllables
open, godless
3 Syllables
advanced, unbiased, liberal, flexible, tolerant, indulgent, broad-minded, free-thinking, catholic, radical
4 Syllables
progressive, open-minded, unbigoted, receptive, responsive, permissive
5 Syllables
cosmopolitan, dispassionate, unprejudiced