Deny is the opposite of Permit. Permit is related to Necessary. 
Liberty is related to Death. Death is the opposite of Born. Born is related to Alive. Pillow cannot be Alive. 
Deny <--Antonym--> Permit <--RelatedTo--> Necessary 
Liberty <--RelatedTo--> Death <--Antonym--> Born <--RelatedTo--> Alive <--NotHasProperty-- Pillow 