Paper
The Infinity from Nothing paradox and the Immovable Object meets the Irresistible Force
Published Oct 31, 2018 · N. Shackel
European Journal for Philosophy of Science
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Abstract
In this paper I present a novel supertask in a Newtonian universe that destroys and creates infinite masses and energies, showing thereby that we can have infinite indeterminism. Previous supertasks have managed only to destroy or create finite masses and energies, thereby giving cases of only finite indeterminism. In the Nothing from Infinity paradox we will see an infinitude of finite masses and an infinitude of energy disappear entirely, and do so despite the conservation of energy in all collisions. I then show how this leads to the Infinity from Nothing paradox, in which we have the spontaneous eruption of infinite mass and energy out of nothing. I conclude by showing how our supertask models at least something of an old conundrum, the question of what happens when the immovable object meets the irresistible force.
A novel supertask in a Newtonian universe can create and destroy infinite masses and energies, demonstrating infinite indeterminism and leading to the Infinity from Nothing paradox.
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