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Γ Limiti e analisi non standard

Vincenzo M. Tortorelli — 1985

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this note we give a nonstandard characterization of multiple topological Γ operators as sup-min of standard part map.

Γ Limiti e analisi non standard

Vincenzo M. Tortorelli — 1985

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In this note we give a nonstandard characterization of multiple topological Γ operators as sup-min of standard part map.

Sul problema dell'autoriferimento

Ennio De GiorgiMarco FortiVincenzo M. Tortorelli — 1986

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We formulate, within the frame-theory Q for the foundations of Mathematics outlined in [2], a list L of axioms which state that almost all "interesting" collections and almost all "interesting" operations are elements of the universe. The resulting theory Q + L would thus have the important foundational feature of being completely self-contained. Unfortunately, the whole list L is inconsistent, and we are led to formulate the following problem, which we call the problem of self-reference: "Find out...

Sul problema dell'autoriferimento

Ennio De GiorgiMarco FortiVincenzo M. Tortorelli — 1986

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

We formulate, within the frame-theory Q for the foundations of Mathematics outlined in [2], a list L of axioms which state that almost all "interesting" collections and almost all "interesting" operations are elements of the universe. The resulting theory Q + L would thus have the important foundational feature of being completely self-contained. Unfortunately, the whole list L is inconsistent, and we are led to formulate the following problem, which we call the problem of self-reference: "Find out...

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