that is one big word , seems even dictionaries disagree on definition, guess we can learn something new everyday
http://www.thefreedictionary.com/heterodoxy
heterodoxy
1. the state of being at variance with established doctrines or beliefs.
2. a heterodox view or belief.
Noun 1. heterodoxy - any opinions or doctrines at variance with the official or orthodox position
heresy, unorthodoxy
iconoclasm - the orientation of an iconoclast
orientation - an integrated set of attitudes and beliefs
nonconformance, nonconformism, nonconformity - a lack of orthodoxy in thoughts or beliefs
2. heterodoxy - the quality of being unorthodox
unorthodoxy
originality - the quality of being new and original (not derived from something else)
unconventionality - unorthodoxy by virtue of being unconventional
nonconformity - unorthodoxy as a consequence of not conforming to expected standards or values
http://en.wikipedia.org/wiki/Heterodoxy
Heterodoxy is generally defined as "any opinions or doctrines at variance with an official or orthodox position".[1] As an adjective, heterodox is commonly used to describe a subject as "characterized by departure from accepted beliefs or standards" (status quo). Under this definition the noun heterodoxy is synonymous with unorthodoxy, while the adjective heterodox is synonymous with dissident.
However heterodoxy is also an ecclesiastical term of art, defined in various ways by different religions and churches.