The reception of incompleteness results within the mathematical community was very slow. One reason for the large underestimation of gödelians’ results in part of the community of mathematicians, which helped to brake their assimilation, was linked to the metamathematical character of the statement “I am not provable” used in the constructive proof. The perceived distance from the concrete mathematical work is perhaps behind the most striking case of the silence in this regard: that of the the French group ‘Bourbaki’ of formalists mathematicians. For this reason, in an attempt to address these objections, some scholars have devoted themselves to the search for independent statements of mathematical content, with proofs that did not rely on the typical Gödelian toolbox.
University of Siena, Italy - ORCID: 0000-0001-9441-7226
Titolo del capitolo
Independent sentences of mathematical character
Autori
Duccio Pianigiani
Lingua
English
DOI
10.36253/979-12-215-0778-2.11
Opera sottoposta a peer review
Anno di pubblicazione
2025
Copyright
© 2025 Author(s)
Licenza d'uso
Licenza dei metadati
Titolo del libro
Lectures in Proof Theory and Complexity
Autori
Duccio Pianigiani
Opera sottoposta a peer review
Anno di pubblicazione
2025
Copyright
© 2025 Author(s)
Licenza d'uso
Licenza dei metadati
Editore
Firenze University Press, USiena Press
DOI
10.36253/979-12-215-0778-2
eISBN (pdf)
979-12-215-0778-2
eISBN (xml)
979-12-215-0779-9
Collana
UNIverSI. Ricerca e Didattica all’Università di Siena
ISSN della collana
3035-5915
e-ISSN della collana
3035-5931