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1.
Over exaggeration of not caring.
I don't give two shits about you or your friends.
by Boykin July 14, 2006
 
2.
Something that a lot of people refuse to give.
Person: "I could give two shits.."

Me: "But you won't, huh?"

Person: "Nope!"
by Forever Remain September 08, 2008
 
3.
Having a complete lack of care.
"I don't give two shits about the dolphins"
by BMWGGANTMSFU February 01, 2010
 
4.
One who has to top any story, one upper
"Man!, I just took a big shit! Oh yeah, well I just took two!" hence "Two-Shits"
by Johnny Danyoung March 16, 2008
 
5.
1. A term used to describe something you don't give.

2. A term used instead of saying "I don't give a shit."
Harry: "That hurt my feelings."

Sally: "I don't give two shits about your feelings."
by ccharless February 20, 2010
 
6.
Similar to 'one upper'. Phrase depicting someone who always needs to have gone one better. If you have had one shit that morning he/she will have done two.
Hey Bob, I totally did the biggest crap this morning

Aw... I did "TWO SHITS" shits yesterday
by tippler January 27, 2010