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Symmetry vs. Duality in Logic: An Interpretation of Bi-Logic to Model Cognitive Processes Beyond Inference

Symmetry vs. Duality in Logic: An Interpretation of Bi-Logic to Model Cognitive Processes Beyond Inference

Giulia Battilotti
Copyright: © 2014 |Volume: 8 |Issue: 4 |Pages: 15
ISSN: 1557-3958|EISSN: 1557-3966|EISBN13: 9781466653283|DOI: 10.4018/ijcini.2014100105
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MLA

Battilotti, Giulia. "Symmetry vs. Duality in Logic: An Interpretation of Bi-Logic to Model Cognitive Processes Beyond Inference." IJCINI vol.8, no.4 2014: pp.83-97. http://doi.org/10.4018/ijcini.2014100105

APA

Battilotti, G. (2014). Symmetry vs. Duality in Logic: An Interpretation of Bi-Logic to Model Cognitive Processes Beyond Inference. International Journal of Cognitive Informatics and Natural Intelligence (IJCINI), 8(4), 83-97. http://doi.org/10.4018/ijcini.2014100105

Chicago

Battilotti, Giulia. "Symmetry vs. Duality in Logic: An Interpretation of Bi-Logic to Model Cognitive Processes Beyond Inference," International Journal of Cognitive Informatics and Natural Intelligence (IJCINI) 8, no.4: 83-97. http://doi.org/10.4018/ijcini.2014100105

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Abstract

The author discusses the problem of symmetry, namely of the orientation of the logical consequence. The author shows that the problem is surprisingly entangled with the problem of “being infinite”. The author presents a model based on quantum states and shows that it features satisfy the requirements of the symmetric mode of Bi-logic, a logic introduced in the '70s by the psychoanalyst I. Matte Blanco to describe the logic of the unconscious. The author discusess symmetry, in the model, to include correlations, in order to obtain a possible approach to displacement. In this setting, the author finds a possible reading of the structural rules of sequent calculus, whose role in computation, on one side, and in the representation of human reasoning, on the other, has been debated for a long time.

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