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Heterodoxy in a religious sense means "any opinions or doctrines at variance with an official or orthodox position". Under this definition, heterodoxy is similar to unorthodoxy, while the adjective "heterodox" could be applied to a dissident.
Heterodoxy is also an ecclesiastical term of art, defined in various ways by different religions and churches. For example, in the Roman Catholic and Eastern Orthodox churches heterodoxy may describe beliefs that differ from strictly orthodox views but that fall short of heresy.
Ecclesiastic usage 
Eastern Orthodoxy 
In the Eastern Orthodox Church, the term is used to refer to Christian churches not belonging to the Eastern Orthodox communion and holding doctrines different from those of Orthodox Christianity. Also, it is used for any idea, thought, dogma, principle or lifestyle that is in conflict with the Orthodox Faith. In general, this term is used in two distinct cases: 1. Whenever Eastern Orthodoxy wants to classify something different, but not as different or thought to be as erroneous as heresy; and yet not something un-clarified and therefore left opinion (a theologoumenon). 2. Whenever Eastern Orthodoxy wants, for any reason, to abstain from the use of the word heresy.
Roman Catholicism 
Heterodoxy in the Roman Catholic Church refers to views that differ from strictly orthodox views, but retain sufficient faithfulness to the original doctrine to avoid heresy. Many Roman Catholics profess some heterodox views, either on doctrinal or social issues. For example, the orthodox Catholic position on unbaptized infants is that their fate is uncertain, and "the Church can only entrust them to the mercy of God" (Catechism of the Catholic Church 1261). A heterodox Catholic might profess the belief that unbaptized infants are allotted to purgatory and then offered the option to accept or deny salvation by God at their judgment. The belief is not orthodox, as the Church does not profess a belief as to what happens to unbaptized infants; however, it is also not heresy, as the Church accepts that such a scenario might be possible.
Many Protestants, such as Lutherans, use the term heterodox to describe Christian teachings which are not in agreement with their understanding of scripture. Thus, other Christian (Catholic, Orthodox or Protestant) denominations with different teachings which are not heretical are considered heterodox. For example, the Catholic belief that the mother of Christ was born without original sin and remained a virgin throughout the rest of her life would be heterodox under this logic. Lutherans, however, allow belief in the perpetual virginity of the Blessed Virgin Mary as a pious theological opinion since it is referred to that way three times in the Book of Concord ("semper virgo," Smalcald Articles, I, 4, Latin. Cf. Formula of Concord, Solid Declaration, VII, 100; VIII, 24.)
Other usage 
The term heterodox is occasionally used by some Christians to refer to themselves when they are in disagreement with orthodox understandings, but voice this disagreement while still maintaining the overall value of the tradition. The heterodox Christian therefore remains in the tradition and attempts to stimulate constructive dialog around issues with which they disagree.
In 1912, a group of women, called the Heterodoxy, begin to meet as a feminist luncheon group. This group for "unorthodox women" included many prominent lesbians and would meet regularly in Greenwich Village until the 1940s.
The Arabic word ghulat is used by Muslims for beliefs perceived as being extremely heterodox (more in line with the Christian use of the word "heresy"). In particular, the term is used by mainstream Muslims to describe the beliefs of minority Muslim groups who ascribe divine characteristics to a member of Prophet Muhammad's family (especially Ali) or the early companions of the Prophet such as Salman the Persian. The assumption is that the groups thus described have gone too far and have come to associate them with God (shirk).
Sunni and Shia Islam Muslims see each other as heterodox, differing in practice mainly on matters of jurisprudence or fiqh, splitting historically on the matter of the succession of Ali to the caliphate by Muawiyah. A third and much smaller movement is Ibadi, which differ from both of these groups on a few key points. Several ultra-orthodox groups such as the Wahhabis, in turn, see themselves as the only truly orthodox groups within Islam.
The Shia Ismailis, who in turn split from the Shia mainstream of Twelvers over another succession dispute, have subsumed several groups which the majority of Muslims view as heterodox, such as the Seveners, and gnostic-influenced Alawites, and many other sects and subsects. The gnostic-influenced Druze sect has also been affiliated with the Ismailis, but some of its followers go so far as to see it as a distinct religion altogether. The Sufis, divided into many sects and orders, incorporate many mystical doctrines and rituals into Islam, but many also consider themselves Shi'i or Sunnis. Another Shia group, influenced heavily by the Sufis, Turkic religion and other mystical movements, is that of the Alevi. Historical groups viewed as highly heterodox by most Muslims include the Kharijites, who took a third view on Ali's succession (and are today succeeded by the Ibadi), the Mu'tazilites, who most famously asserted that the Qur'an was created, a view which enjoyed Caliphal approval before the time of Mutawakkil, the Qarmatians, a branch of the Seveners within Ismaili Islam who took control of much of the Arabian peninsula in the 9th and 10th century, practiced vegetarianism, took control of the Well of Zamzam and the Ka'bah, and the Hashashin or Assassins, another Ismaili group, famous for their reclusive lifestyle, manners of indoctrination and assassinations in the years after the First Crusade.
According to Philip Hitti, during the Umayyad and Abbasid caliphates there was a marked tendency among several quite unrelated heterodox groups to affiliate themselves with the Shiites, particularly the Ismailis, in a general feeling of heterodox solidarity in a Sunni-controlled empire. The cause of the Alids thus became a rallying point for a diverse range of heterodox Islamic movements. The view that Ali was divine, though never mainstream within Shiism, is attested in the early centuries of Islam.
Two more recent movements seen as particularly at odds with the majority Muslim view are the Ahmadiyya and Nation of Islam movements. Many followers of the former consider its 19th-century founder, Mirza Ghulam Ahmad, to have been a prophet, as well as such other religious figures as Krishna and Buddha, despite the mainstream Muslim view that Muhammad was the last. Both Ahmadi denominations consider Ahmad to have been the Mahdi and second coming of Jesus. The Nation of Islam is a black supremacist movement which acknowledges its 20th-century founder, Wallace Fard Muhammad, as an incarnation of Allah, a view most Muslims consider shirk (polytheism). Babism (most followers of which came to follow Baha'u'llah and became the Baha'is) is viewed by many non-followers as originally having been a highly divergent movement within the Twelver Ismailism practiced in 19th-century Persia. Beyond heterodoxy, many elements of Islam have been incorporated into distinct belief systems several times, most specifically into Sikhism and the Baha'i Faith, whose predecessor movement was Babism. As a more unusual example, several Thuggee were self-reportedly Muslims, and according to William Sleeman equated the Hindu goddess Kali with Fatima, a daughter of Muhammad.
Political usage against religion 
In late 1999 legislation was created in China to outlaw "heterodox religions". This was applied retroactively to Falun Gong, a spiritual practice introduced to the public in China by Li Hongzhi (李洪志) in 1992.
Non-ecclesiastic usage 
Heterodox economics refers to schools of economic thought that are considered outside of mainstream orthodox economics. Heterodox economics refers to a variety of separate unorthodox approaches or schools such as institutional, post-Keynesian, socialist, Marxian, feminist, Austrian, ecological, and social economics among others.
See also 
- Definition of orthodoxy from
- Orthodox Dogmatic Theology, by Fr. Michael Pomazansky, trans. by Fr. Seraphim Rose (Platina, CA: St. Herman of Alaska Brotherhood, 1994), pp. 243-246
- Michael P. Hornsby-Smith, Raymond M. Lee and Peter A. Reilly (1985). "Common Religion and Customary Religion: A Critique and a Proposal". Review of Religious Research 26(3), 244-252.
- Schwarz, Judith (1986). Radical Feminists of Heterodoxy [Revised ed.] Norwich, VT: New Victoria Publishers, Inc. p. 147. ISBN 0934678081.
- "History of the Arabs", Philip Khuri Hitti, 1970
- Leung, Beatrice (2002) 'China and Falun Gong: Party and society relations in the modern era', Journal of Contemporary China, 11:33, 761 – 784
- Statement of Professor David Ownby, Unofficial Religions in China: Beyond the Party's Rules, 2005
- JEL classification codes#History of economic thought, methodology, and heterodox approaches JEL: B Subcategories.
- Lee, Frederic S., 2008. "heterodox economics," The New Palgrave Dictionary of Economics, 2nd Edition. Abstract.