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Cultural Muslims are religiously unobservant, secular or irreligious individuals who still identify with the Muslim culture due to family background, personal experiences, or the social and cultural environment in which they grew up.
The term is a political neologism paralleling the term "cultural Christian".
There is, however, a secondary meaning to Muslim which may shade into the first. A Muslim is one born to a Muslim father who takes on his or her parents' confessional identity without necessarily subscribing to the beliefs and practices associated with the faith, just as a Jew may describe him- or herself as Jewish without observing the Halacha. In non-Muslim societies, such Muslims may subscribe to, and be vested with, secular identities. The Muslims of Bosnia, descendants of Slavs who converted to Islam under Ottoman rule, are not always noted for attendance at prayer, abstention from alcohol, seclusion of women and other social practices associated with believing Muslims in other parts of the world. They were officially designated as Muslims by nationality to distinguish them from Orthodox Serbs and Catholic Croats under the former Yugoslav communist regime. The label Muslim indicates their ethnicity and group allegiance, but not necessarily their religious beliefs. In this limited context (which may apply to other Muslim minorities in Europe and Asia), there may be no contradiction between being Muslim and being atheist or agnostic, just as there are Jewish atheists and Jewish agnostics... It should be noted, however, that this secular definition of Muslim (sometimes the terms cultural Muslim or nominal Muslim are used) is very far from being uncontested.
See also 
Parallel concepts 
- Islam: A Very Short Introduction, by Malise Ruthven, Oxford University Press, 2000.