Taking physical infinity seriously
History and Philosophy of Physics
2016-08-25 v1
Abstract
The concept of infinity took centuries to achieve recognized status in the field of mathematics, despite the fact that it was implicitly present in nearly all mathematical endeavors. Here I explore the idea that a similar development might be warranted in physics. Several threads will be speculatively examined, including some involving nonstandard analysis. While there are intriguing possibilities, there also are noteworthy difficulties.
Cite
@article{arxiv.1608.06878,
title = {Taking physical infinity seriously},
author = {Don Perlis},
journal= {arXiv preprint arXiv:1608.06878},
year = {2016}
}
Comments
to appear in book dedicated to Martin Davis