It is therefore correct to say that the senses do not err — not because they always judge rightly, but because they do not judge at all.
Immanuel KantA science of all these possible kinds of space [the higher dimensional ones] would undoubtedly be the highest enterprise which a finite understanding could undertake in the field of geometry... If it is possible that there could be regions with other dimensions, it is very likely that God has somewhere brought them into being.
Immanuel Kant