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On the Origin of Abstraction : Real and Imaginary Parts of Decidability-Making

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  • Gilbert Giacomoni

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    (CGS - Centre de Gestion Scientifique - École Nationale Supérieure des Mines - Paris (ParisTech))

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    Abstract

    The behavioral tradition has largely anchored on Simon's early conception of bounded rationality, it is important to engage more explicitly cognitive approaches particularly ones that might link to the issue of identifying novel competitive positions. The purpose of the study is to describe the cognitive processes by which decision-makers manage to work, individually or collectively, through undecidable situations and design innovatively. Most widespread models of rationality developed for preference-making and based on a real dimension should be extended for abstraction-making by adding a visible imaginary one. A development of a core analytical/conceptual apparatus is proposed to purposely account this dual form of reasoning, deductive to prove (then make) equivalence and abstractive to represent (then unmake) it. Complex numbers, comfortable to describe repetitive, expansional and superimposing phenomena (like waves, envelope of waves, interferences or holograms, etc.) appear as generalizable to cognitive processes at work when redesigning a decidable space by abstraction (like relief vision to design a missing depth dimension, Loyd's problem to design a missing degree of freedom, etc.). This theoretical breakthrough may open up vistas capacity in the fields of information systems, knowledge and decision.

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    Bibliographic Info

    Paper provided by HAL in its series Post-Print with number hal-00750628.

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    Date of creation: 29 Jun 2012
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    Publication status: Published - Presented, 11th World Congress of the International Federation of Scholarly Associations of Management (IFSAM), 2012, Limerick, Ireland
    Handle: RePEc:hal:journl:hal-00750628

    Note: View the original document on HAL open archive server: http://hal-ensmp.archives-ouvertes.fr/hal-00750628
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    Web page: http://hal.archives-ouvertes.fr/

    Related research

    Keywords: decision-making; equality; indiscernibility; undecidability; imaginary; abstraction; knowledge; information; symmetry-breaking; identity; relation;

    This paper has been announced in the following NEP Reports:

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages B141-B164, December.
    2. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    3. Stamelos, Ioannis & Tsoukias, Alexis, 2003. "Software evaluation problem situations," European Journal of Operational Research, Elsevier, vol. 145(2), pages 273-286, March.
    4. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
    5. Roy, Bernard, 1993. "Decision science or decision-aid science?," European Journal of Operational Research, Elsevier, vol. 66(2), pages 184-203, April.
    6. Bana e Costa, Carlos A. & Ensslin, Leonardo & Correa, Emerson C. & Vansnick, Jean-Claude, 1999. "Decision Support Systems in action: Integrated application in a multicriteria decision aid process," European Journal of Operational Research, Elsevier, vol. 113(2), pages 315-335, March.
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