Well, by that logic the answer to the OP is pretty simple:
 Quote by lazer
Is there anything that can be considered just as a wave and not a particle or any wave that does not have particle?
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And we could say "Yes. Light can be considered to be strictly a wave, as long as there are a large enough number of photons present so that the classical notion of light as a continuous wave is a reasonable approximation."
But I thought we were doing away with any such approximations in this discussion, at least that is my interpretation of the OP's question.
By the way, I completely agree with this sentiment:
 Quote by Studiot
The wonderful thing about nature is not that perfect continuous media cannot be found, but that an equation only proved in continuous mathematics for continuous media can be applied at all to granular systems.
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I just don't think it is relevant to what the OP was asking.