I think it is Philosophical Question having a Mathematical Response.
This question cannot be rigorously expressed nor solved mathematically, nevertheless a philosopher may "understand" the question and may even "find" the response. This response obviously exists because it can only be YES or NO (and this is a binary mathematical response), unfortunately the correct answer is not yet known. Despite the fact no rigorous argument may lead (even by a philosopher) to discover the correct response, the response may be discovered empirically in say some billion years simply by oberving if all nowadays mathematical conjectures have been solved or not.
