SURREAL TIME and ULTRATASKS

Haidar Al-Dhalimy, Charles J. Geyer

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper suggests that time could have a much richer mathematical structure than that of the real numbers. Clark & Read (1984) argue that a hypertask (uncountably many tasks done in a finite length of time) cannot be performed. Assuming that time takes values in the real numbers, we give a trivial proof of this. If we instead take the surreal numbers as a model of time, then not only are hypertasks possible but so is an ultratask (a sequence which includes one task done for each ordinal number - thus a proper class of them). We argue that the surreal numbers are in some respects a better model of the temporal continuum than the real numbers as defined in mainstream mathematics, and that surreal time and hypertasks are mathematically possible.

Original languageEnglish (US)
Pages (from-to)836-847
Number of pages12
JournalReview of Symbolic Logic
Volume9
Issue number4
DOIs
StatePublished - Dec 1 2016

Bibliographical note

Publisher Copyright:
Copyright © Association for Symbolic Logic 2016.

Fingerprint

Dive into the research topics of 'SURREAL TIME and ULTRATASKS'. Together they form a unique fingerprint.

Cite this