Abstract

This paper offers a new formulation of the “Hilbert's Hotel Argument” (HHA) which is superior to existing formulations because it (1) demonstrates that HH is logically impossible in the concrete world, (2) takes into account the need to consider the assumptions of HHA, and (3) offers a reply to an important objection concerning the validity of HHA. In addition, this paper contributes to the discussion by using the new HHA to defend a relevant difference between the past and the future by demonstrating that the HHA applies to the former but not to the latter. Finally, this paper demonstrates the significance of metaphysical arguments such as the HHA for physical cosmology.