How should robots think about space?

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

A robot’s action are carried out over time through space. The computational mechanisms that the robot uses to choose and guide actions must therefore at some level reflect the structure of time and space. This essay discusses what ontology for space and time should be built into a robot. I argue that the designers of a robot generally need to have in mind explicit otologies of time and space, and that these will generally be the real line and three-dimensional Euclidean space, though it is often advantageous to project down to a lower-dimensional space, when possible. I then discuss which spatial or spatio-temporal regions should be considered "wellbehaved" and which should be excluded as "monsters." I propose some principles that the class of well-behaved regions should observe, and discuss some examples.

Original languageEnglish (US)
Title of host publicationMathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics
PublisherSpringer International Publishing
Pages75-99
Number of pages25
ISBN (Print)9783319214733, 9783319214726
DOIs
StatePublished - Jan 1 2015

Fingerprint

Robot
Real Line
Euclidean space
Ontology
Choose
Three-dimensional

ASJC Scopus subject areas

  • Mathematics(all)
  • Arts and Humanities(all)

Cite this

Davis, E. (2015). How should robots think about space? In Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics (pp. 75-99). Springer International Publishing. https://doi.org/10.1007/978-3-319-21473-3_5

How should robots think about space? / Davis, Ernest.

Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics. Springer International Publishing, 2015. p. 75-99.

Research output: Chapter in Book/Report/Conference proceedingChapter

Davis, E 2015, How should robots think about space? in Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics. Springer International Publishing, pp. 75-99. https://doi.org/10.1007/978-3-319-21473-3_5
Davis E. How should robots think about space? In Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics. Springer International Publishing. 2015. p. 75-99 https://doi.org/10.1007/978-3-319-21473-3_5
Davis, Ernest. / How should robots think about space?. Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics. Springer International Publishing, 2015. pp. 75-99
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