Article published In:
Controversies, Communication and the BodyEdited by Joseph Lehmann
[Pragmatics & Cognition 23:3] 2016
► pp. 473–484
Edited by Joseph Lehmann
[Pragmatics & Cognition 23:3] 2016
► pp. 473–484
Soft logic and numbers
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.
Keywords: Soft logic, Necker cube, Mobius strip, Nonstandard analysis
References (12)
Dascal, M. 2008. (ed.). Leibniz: What kind of rationalist? Dordrecht Netherland: Springer. 
Hilbert, D. 1900. Mathematical problems. Bulletin of the American mathematical society (new series), 37(4). 407–436.
Isaacson, J. & L.H. Kauffman. 2016. Recursive distinctioning. Journal of Space Philosophy 5(1).
Kauffman, L.H. 2016 “Zeroid” noted in his web-site: [URL]
Klein, M. & O. Maimon. 2016. The mathematics of soft logic.
ICAIR Proceedings
.
. 2016. Developing soft logic in kindergarten. To be published at Literature and Arts Review (ISSN 2517-9446, USA).
. 2016. Consciousness–the fifth dimension. Presented at the conference Theory of Consciousness Arizona.
. 2017. Network of computation and soft logic. Presented at the International school and conference on Network Science.
Marks, T., M. Hay & H. Klitzner. 2015. Quaternions, chirality, exchange interactions: A new tool for neuroscience? Society for Chaos Theory in Psychology & Life Sciences newsletter 23(1), 8–14.
Rapoport, D. 2013. Klein bottle logophysics: A unified principle for non-linear systems, cosmology, geophysics, biology, biomechanics and perception. Journal of Physics, Conference Series 4371, 012024.
Robinson, A. 1974. Non-standard analysis. Princeton, NJ: Princeton University Press.
Spencer-Brown, G. 1969. Laws of form. New York: E. P. Dutton.
Cited by (2)
Cited by two other publications
Klein, Moshe & Oded Maimon
2019. Axioms of Soft Logic. p-Adic Numbers, Ultrametric Analysis and Applications 11:3 ► pp. 205 ff. 
Klein, Moshe & Oded Maimon
2024. Philosophical and Mathematical Background. In Foundations of Soft Logic, ► pp. 7 ff.
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