Silence is considered acceptance in contempt. A cop telling you that you have the right to put yourself in contempt, when you have a duty as a taxpaying citizen to respond, should give you some pause.
Don't take my word for it, though; read a law dictionary.
It sounds like you are implying that keeping mum is legally equivalent to agreeing to anything that a police officer says. That simply isn't true.
If you have something useful to contribute, please make it more clear and include a citation somewhat more precise than "somewhere within the 2052 pages of Black's Law Dictionary".
But sure, i'll be happy to do your homework for you. Grab your book, an look up the following words: "You" "Right" "Remain" "Silent" "Attorney" "Afford" "Understand"
Those would probably be a good start for you. You'll learn they don't mean what you think they mean.
Afterwards, might I suggest a book on offer and acceptance? The "Examples and Explanations" series has a great book on Contracts, and might get you to a deeper understanding of the meaning of silence.
No. I used the quotation marks to indicate my paraphrasing of what I believed you were implying, not your actual words.
Regardless, I have karma to burn. bury away. :-)