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1.
Human thought organs possessed by human females which allow them to solve problems for themselves and which cause many problems for human males; most notably an inability to maintain eye contact.

Some might refer to these organs, and the wily intuition they seem to possess, as Chesticles
Her career rise has been meteoric because she has displayed a fine mind and even keener sweater brains.
by Random Ness May 26, 2011
 
2.
What a guy REALLY means when he talks about being attracted to intelligent women.
Guy 1 to girl at a bar: I've always been attracted to intelligent women. I'll take brains over looks any day!
Guy 1 to guy 2, whispering: Yeah, sweater brains!
by JMcDon May 15, 2011