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  1.  21
    An Aristotelian Notion of Size.Vieri Benci, Mauro Di Nasso & Marco Forti - 2006 - Annals of Pure and Applied Logic 143 (1):43-53.
    The naïve idea of “size” for collections seems to obey both Aristotle’s Principle: “the whole is greater than its parts” and Cantor’s Principle: “1-to-1 correspondences preserve size”. Notoriously, Aristotle’s and Cantor’s principles are incompatible for infinite collections. Cantor’s theory of cardinalities weakens the former principle to “the part is not greater than the whole”, but the outcoming cardinal arithmetic is very unusual. It does not allow for inverse operations, and so there is no direct way of introducing infinitesimal numbers. Here (...)
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  2.  13
    The Generic Filter Property in Nonstandard Analysis.Mauro Di Nasso - 2001 - Annals of Pure and Applied Logic 111 (1-2):23-37.
    In this paper two new combinatorial principles in nonstandard analysis are isolated and applications are given. The second principle provides an equivalent formulation of Henson's isomorphism property.
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  3.  12
    Pseudo-Superstructures as Nonstandard Universes.Mauro Di Nasso - 1998 - Journal of Symbolic Logic 63 (1):222-236.
    A definition of nonstandard universe which gets over the limitation to the finite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard universes are arranged in strata in the likeness of superstructures and allow a rank function taking linearly ordered values. Nonstandard universes are also constructed which model the whole ZFC theory without regularity and satisfy the $\kappa$-saturation property.
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  4.  5
    High Density Piecewise Syndeticity of Product Sets in Amenable Groups.Mauro di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini & Karl Mahlburg - 2016 - Journal of Symbolic Logic 81 (4):1555-1562.
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  5.  7
    Combinatorial Principles in Nonstandard Analysis.Mauro Di Nasso & Karel Hrbacek - 2003 - Annals of Pure and Applied Logic 119 (1-3):265-293.
    We study combinatorial principles related to the isomorphism property and the special model axiom in nonstandard analysis.
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  6. Nonstandard Methods and Applications in Mathematics.Nigel J. Cutland, Mauro Di Nasso & David A. Ross - 2007 - Bulletin of Symbolic Logic 13 (3):372-374.
     
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