Soft Computing

, Volume 21, Issue 1, pp 1–7 | Cite as

Franco Montagna (1948–2015)

  • Aldo UrsiniEmail author

The backstage

Two powerful streams in the first half of last century impeded the development of Mathematical Logic (ML) in Italy after Peano and his school. From one side, Italian culture was dominated by the local version of Idealistic Philosophy1 (Gentile was Minister for Education under Mussolini) with its emphasis on the superiority of philosophy over science. From the other side, the reaction of mathematicians, in particular, was to establish their point by stressing the applicability of Mathematics (Vito Volterra was the head of the National Research Council in the same period). ML was smashed in between the two damnations: “Mathematica sunt, non leguntur–Philosophica sunt, non leguntur”. For instance, the influential mathematician and philosopher Federigo Enriques (1871–1946)2expressed dramatic judgments about the developments of ML and of Set Theory well into the thirties. For him, while at its origins in the hands of Bolzano, Dedekind or Cantor the mathematical investigation...



This overview of Montagna’s work, quantulumcumque, owes a lot to a recent memorial paper by Beklemishev and Flaminio in Studia Logica, 2016(104)1,1–46. Special thanks to Andrea Sorbi, first of all for painstakingly obtaining a virtually complete bibliography of Montagna’s scientific papers. Also, Daniele Mundici was very polite to point at misprints and to suggest improvements. Any mistake or omission is of course the sole responsibility of the author, who surely admits his inability to read and summarize properly over 2000 pages of mathematics in a few weeks.

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.


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  130. Montagna F, Pinna GM, Tiezzi E (2002) Investigations on fragments of first order branching time logic. Math Log Q 48(1):51–62zbMATHCrossRefMathSciNetGoogle Scholar
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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Information Engineering and Mathematical SciencesUniversity of SienaSienaItaly
  2. 2.Department of Mathematical SciencesStellenbosch UniversityMatielandSouth Africa

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