The mathematics of Soft logic

[摘要] 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.

[发布机构] Department of Industrial Engineering, Tel Aviv University, 69978, Israel^1;Department of Mathematics, Ohalo College Katzrin, 1290000, Israel^2

[效力级别] 无线电电子学

[关键词] Co-ordinate system;Dimension extension;Mathematical tools;Necker cube;Real number;Soft logic;Standard analysis;Turing tests