Nothing non-physical exists. Numbers do not exist. Iambic pentameter does not exist. Your mind does not exist. Souls do not exist.
One may still experience numbers by counting, however. When counting, one senses something that does not exist: something virtual, constructed entirely by one's brain's capacity to compute stuff. Numbers have reality, however, because the senses can detect them reliably. In this way, numbers are real, your mind is real, and souls may also be real. Ignoring reality risks a lot philosophically and practically.
I'm not arguing semantics. I've tried to clarify semantics.