The infinity from nothing paradox and the immovable object meets the irresistible force

摘要

In this paper I present a novel supertask in a Newtonian universe that destroys\udand creates infinite masses and energies, showing thereby that we can have infinite\udindeterminism. Previous supertasks have managed only to destroy or create finite masses\udand energies, thereby giving cases of only finite indeterminism. In the Nothing from\udInfinity paradox we will see an infinitude of finite masses and an infinitude of energy\uddisappear entirely, and do so despite the conservation of energy in all collisions. I then\udshow how this leads to the Infinity from Nothing paradox, in which we have the\udspontaneous eruption of infinite mass and energy out of nothing. I conclude by showing\udhow our supertask models at least something of an old conundrum, the question of what\udhappens when the immovable object meets the irresistible force.