
1) Broad-minded 2) Free-thinking 3) Undogmatic 4) Undogmatical 
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 Latitudinarian was initially a pejorative term applied to a group of 17th-century English theologians who believed in conforming to official Church of England practices but who felt that matters of doctrine, liturgical practice, and ecclesiastical organization were of relatively little importance. Good examples of the latitudinarian philosophy wer...
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http://en.wikipedia.org/wiki/Latitudinarian

one having tolerant or free religious views
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http://phrontistery.info/l.html

• (a.) Indifferent to a strict application of any standard of belief or opinion; hence, deviating more or less widely from such standard; lax in doctrine; as, latitudinarian divines; latitudinarian theology. • (a.) Not restrained; not confined by precise limits. • (n.) A member of the Church of England, in the time of Charles II., wh...
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http://thinkexist.com/dictionary/meaning/latitudinarian/

any of the 17th-century Anglican clerics whose beliefs and practices were viewed by conservatives as unorthodox or, at best, heterodox. After first ... [2 related articles]
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http://www.britannica.com/eb/a-z/l/20

In the Church of England from the 17th century, a member of a group of priests, which included J R Tillotson (1630-1694, archbishop of Canterbury) and Edward Stillingfleet (1635-1699, bishop of...
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http://www.encyclo.co.uk/local/20688

1. Not restrained; not confined by precise limits. ... 2. Indifferent to a strict application of any standard of belief or opinion; hence, deviating more or less widely from such standard; lax in doctrine; as, latitudinarian divines; latitudinarian theology. 'Latitudinarian sentiments upon religious subjects.' (Allibone) ... 3. Lax in moral or reli...
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http://www.encyclo.co.uk/local/20973
Lat`i·tu`di·na'ri·an  adjective [ Confer French 
 latitudinaire .] 
 1.  Not restrained; not confined by precise limits.  
 2.  Indifferent to a strict application of any standard of belief or opinion; hence, deviating more or less widely from such standard; lax in doctrine; as, 
 lati...Found on 
http://www.encyclo.co.uk/webster/L/18

[
n] - a person who is broad-minded and tolerant (especially in standards of religious belief and conduct)
Found on 
http://www.webdictionary.co.uk/definition.php?query=latitudinarian

latitudinarian 1. A person who is broad-minded and tolerant; especially, in standards of religious belief and conduct.  2. Someone who is unwilling to accept authority or dogma; especially, in religion.  3. Allowing some freedom in attitude, beliefs, behavior, or interpretation; especially, in religious matters.
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 noun a person who is broad-minded and tolerant (especially in standards of religious belief and conduct)
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https://www.encyclo.co.uk/local/20974
  No exact match found.