Abstract

We strive to understand, by using mathematical tools, the phenomena where the observer can interpret simultaneously opposite situations, such as the distinct interpretations of the Necker cube. In this study we present a new coordinate system that draws a distinction between -0 and +0. The central theorem presented here postulates that when divisions and multiplications of 0 are combined with real numbers, the Mobius strip provides a model for non-standard analysis. We also suggest that the axis 0 is the fifth dimension extension of the quaternions. We also propose to add the soft logic capability to humanoid type robots, as a way to overcome the Turing test.

Details

Title
The mathematics of Soft logic
Author
Klein, Moshe 1 ; Maimon, Oded 2 

 Department of Industrial Engineering, Tel Aviv University, 69978 Israel; Department of mathematics, Ohalo College Katzrin, 1290000 Israel 
 Department of Industrial Engineering Tel Aviv University 69978 Israel 
Publication year
2016
Publication date
Nov 2016
Publisher
IOP Publishing
ISSN
17578981
e-ISSN
1757899X
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2564683958
Copyright
© 2016. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.