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1.
The term is used in philosophy in various slightly different senses:

(1) mode of argumentation; (2) the argument itself; and

(3) the manifest evidence or proof of a convincing argument –in this last sense the term is also used in the Qur’an (4:174; 12:24).
Arabic: Ya ayyuha alnnasu qad jaakum burhanun min rabbikum waanzalna ilaykum nooran mubeenan

English: O people! surely there has come to you manifest proof from your Lord and We have sent to you clear light.
by tripper February 18, 2005
 
2.
To be burhanus with oneself.
"My Burhans be flarin' up!"
by Nutsack 69 July 14, 2003
 
3.
rare species of monkey found in SE Britain. unusually long arms and very small feet.
you know what they say...
burhan has large hands and likes bananas
by ruthio February 04, 2004