Benci, Vieri; Di Nasso, Mauro How to measure the infinite. Mathematics with infinite and infinitesimal numbers. (English) Zbl 1429.26001 Hackensack, NJ: World Scientific (ISBN 978-981-283-637-3/hbk; 978-981-327-660-4/ebook). xxviii, 317 p. (2019). Reviewer: Miroslav Repický (Košice) MSC: 26-02 26E35 28E05 46F05 54J05 60E05 03E35 PDFBibTeX XMLCite \textit{V. Benci} and \textit{M. Di Nasso}, How to measure the infinite. Mathematics with infinite and infinitesimal numbers. Hackensack, NJ: World Scientific (2019; Zbl 1429.26001) Full Text: DOI
Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro Some applications of numerosities in measure theory. (English) Zbl 1309.26028 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 1, 37-47 (2015). MSC: 26E30 28E15 26E35 60A05 PDFBibTeX XMLCite \textit{V. Benci} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 1, 37--47 (2015; Zbl 1309.26028) Full Text: DOI arXiv
Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro Elementary numerosity and measures. (English) Zbl 1300.26018 J. Log. Anal. 6, Paper No. 3, 14 p. (2014). MSC: 26E30 28E15 26E35 60A05 PDFBibTeX XMLCite \textit{V. Benci} et al., J. Log. Anal. 6, Paper No. 3, 14 p. (2014; Zbl 1300.26018) Full Text: DOI arXiv
Benci, Vieri; Di Nasso, Mauro; Forti, Marco An Euclidean measure of size for mathematical universes. (English) Zbl 1131.03029 Log. Anal., Nouv. Sér. 50, No. 197, 43-62 (2007). Reviewer: Nicolae A. Soare (Bucureşti) MSC: 03E99 03B30 PDFBibTeX XMLCite \textit{V. Benci} et al., Log. Anal., Nouv. Sér. 50, No. 197, 43--62 (2007; Zbl 1131.03029)
Benci, Vieri; Di Nasso, Mauro; Forti, Marco An Aristotelian notion of size. (English) Zbl 1114.03055 Ann. Pure Appl. Logic 143, No. 1-3, 43-53 (2006). Reviewer: Roman Kossak (New York) MSC: 03H05 03E70 PDFBibTeX XMLCite \textit{V. Benci} et al., Ann. Pure Appl. Logic 143, No. 1--3, 43--53 (2006; Zbl 1114.03055) Full Text: DOI
Benci, Vieri; Forti, Marco; Di Nasso, Mauro The eightfold path to nonstandard analysis. (English) Zbl 1104.03061 Cutland, Nigel J. (ed.) et al., Nonstandard methods and applications in mathematics. Wellesley, MA: A K Peters; Urbana, IL: Association for Symbolic Logic (ASL) (ISBN 1-56881-291-4/hbk; 1-56881-292-2/pbk). Lecture Notes in Logic 25, 3-44 (2006). Reviewer: German Pestov (Tomsk) MSC: 03H05 26E35 03E65 54J05 PDFBibTeX XMLCite \textit{V. Benci} et al., Lect. Notes Log. 25, 3--44 (2006; Zbl 1104.03061)
Benci, Vieri; Di Nasso, Mauro A purely algebraic characterization of the hyperreal numbers. (English) Zbl 1113.26028 Proc. Am. Math. Soc. 133, No. 9, 2501-2505 (2005). MSC: 26E35 16S60 54C40 PDFBibTeX XMLCite \textit{V. Benci} and \textit{M. Di Nasso}, Proc. Am. Math. Soc. 133, No. 9, 2501--2505 (2005; Zbl 1113.26028) Full Text: DOI
Benci, Vieri; Di Nasso, Mauro A ring homomorphism is enough to get nonstandard analysis. (English) Zbl 1062.03066 Bull. Belg. Math. Soc. - Simon Stevin 10, No. 4, 481-490 (2003). Reviewer: Mihail I. Ursul (Oradea) MSC: 03H05 26E35 PDFBibTeX XMLCite \textit{V. Benci} and \textit{M. Di Nasso}, Bull. Belg. Math. Soc. - Simon Stevin 10, No. 4, 481--490 (2003; Zbl 1062.03066)
Benci, Vieri; Di Nasso, Mauro Alpha-theory: An elementary axiomatics for nonstandard analysis. (English) Zbl 1038.26019 Expo. Math. 21, No. 4, 355-386 (2003). Reviewer: W. A. J. Luxemburg (Pasadena) MSC: 26E35 03H05 PDFBibTeX XMLCite \textit{V. Benci} and \textit{M. Di Nasso}, Expo. Math. 21, No. 4, 355--386 (2003; Zbl 1038.26019) Full Text: DOI
Benci, Vieri; Di Nasso, Mauro Numerosities of labelled sets: A new way of counting. (English) Zbl 1028.03042 Adv. Math. 173, No. 1, 50-67 (2003). Reviewer: K.Iséki (Osaka) MSC: 03E65 03C20 03E35 03H05 PDFBibTeX XMLCite \textit{V. Benci} and \textit{M. Di Nasso}, Adv. Math. 173, No. 1, 50--67 (2003; Zbl 1028.03042) Full Text: DOI
Forti, Marco; Di Nasso, Mauro; Benci, Vieri Hausdorff nonstandard extensions. (English) Zbl 1061.54018 Bol. Soc. Parana. Mat. (3) 20, No. 1-2, 9-20 (2002). Reviewer: T. Thrivikraman (Cochin) MSC: 54D35 03H05 03C20 54D80 54J05 PDFBibTeX XMLCite \textit{M. Forti} et al., Bol. Soc. Parana. Mat. (3) 20, No. 1--2, 9--20 (2002; Zbl 1061.54018)