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Non cancella non. (Una nota sulla impossibilita' di dimostrare la equivalenza della doppia negazione per i sistemi formali del prim’ordine)

Author

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  • Franco Birardi

    (Dipartimento di Scienze per l'Economia e l'Impresa, Universita' degli Studi di Firenze)

Abstract

La costruzione di un controesempio aritmetico coerente con gli assiomi di Zermelo e Fraenkel che contraddice l’equivalenza della doppia negazione relega l’equivalenza della doppia negazione al sistema logico elementare classico della certezza e la esclude dai sistemi simbolici formalizzati del primo ordine. Le proposizioni aritmetiche impiegate danno luogo ad una tipologia di incertezza distinguibile dalla proprieta' sfuggente di Brouwer per i numeri irrazionali.

Suggested Citation

  • Franco Birardi, 2013. "Non cancella non. (Una nota sulla impossibilita' di dimostrare la equivalenza della doppia negazione per i sistemi formali del prim’ordine)," Working Papers - Mathematical Economics 2013-03, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    • Handle: RePEc:flo:wpaper:2013-03
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