Soft logic and numbers

Moshe Klein, Oded Maimon

Research output: Contribution to journalReview articlepeer-review

Abstract

In this paper, we propose to see the Necker cube phenomenon as a basis for the development of a mathematical language in accordance with Leibniz's vision of soft logic. By the development of a new coordinate system, we make a distinction between -0 and +0. This distinction enables us to present a new model for nonstandard analysis, and to develop a calculus theory without the need of the concept of limit. We also established a connection between "Recursive Distinctioning" and soft logic, and use it as a basis for a new computational model. This model has a potential to change the current computational paradigm.

Original languageEnglish
Pages (from-to)473-485
Number of pages13
JournalPragmatics and Cognition
Volume23
Issue number3
DOIs
StatePublished - 2016

Keywords

  • Mobius strip
  • Necker cube
  • Nonstandard analysis
  • Soft logic

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