Unorthodoxy
Part of speech: noun
Definition: Lack of orthodoxy; the quality or state of being unorthodox
Heresy
Part of speech: noun
Definition: A doctrine held by a member of a religion at variance with established religious beliefs, especially dissension from Roman Catholic dogma.A controversial or unorthodox opinion held by a member of a group, as in politics, philosophy or science.
Example sentence: The biggest danger to the European Union comes not from those who advocate change, but from those who denounce new thinking as heresy. In its long history Europe has experience of heretics who turned out to have a point.