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Belief is in a sense passive, an agreement or acceptance only; faith is active and positive, embracing such reliance and confidence as will lead to works. Faith in Christ comprises belief in Him, combined with trust in Him. One cannot have faith without belief; yet he may believe and still lack faith. Faith is vivified, vitalized, living belief.

James E. Talmage (2012). “Articles of Faith: Being a Consideration of the Principal Doctrines of the Church of Jesus Christ of Latter-day Saints”, p.69, Lulu.com
Belief is in a sense passive, an agreement or acceptance only; faith is active and positive, embracing such reliance and confidence as will lead to works. Faith in Christ comprises belief in Him, combined with trust in