Oh Dear Cenap, your question is purely philosophic. It like we ask if  we accept everything in this world that yes, it might be a new world  of angels :)

I find this discussion of Vladimir Sergeevich Anashin on the answers of the question:

Are complex numbers a generalization of the reals or a specialization of 2x2 matrices?

He explained how mathematical poit of view ( which of course based on asumptions) can give a result different  (in representation) from what we use to see.  I find it is really interesting and amusing in the same time. I invite you and who is interesting in your question to read it  :)