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You are saying that the complement (or opposite) of silence is sound, which makes perfect sense.
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Am I saying that? No I am saying that one cannot exist without the other. The existence of one does not exist without the other.(To be even more clear, take water, H20 water doesn't exist without the hydrogen or the oxygen. They do not complement each other, they have to be together for water to even exist.) Since sounds exist through a medium and all mediums produce unique Hz, then it follows that all mechanical waves produce Hz, which further implies silence does not truly exist. It's a relative notion. A 2 measure rest in any piece is really no different then 4 minute and 33 second rest Cage's work. The beauty of the 2 measure rest is that it can build something for the music or make something more dramatic or whatever, but it serves a purpose. The silence has a purpose. In Cage's work, he did the opposite. The sounds brought to attention the music.
If you fail to see the impact 4'33'' has had on music, I suggest you do some research. Music serious composers I know (meaning professions) understand greatly the implication 4'3'', even if it didn't effect their work directly, indirectly it has.
Which is paramount in music, the design or the execution?
Neither
Is music fleeting or eternal?
Neither
Is it possible to determine the intrisic value of music without extrinsic factors? of course