The aim of this section is to account for Gödel’s original intuition with the means of modern computability theory, showing the different complexity of the theorems of a theory of formal arithmetic with certain properties, and of the set of true propositions of the language of this theory. For this purpose, we refine the notion of computably enumerable set through the concept of creative set, introduced by Emil Post.
University of Siena, Italy - ORCID: 0000-0001-9441-7226
Chapter Title
Abstract views of incompleteness
Authors
Duccio Pianigiani
Language
English
DOI
10.36253/979-12-215-0778-2.05
Peer Reviewed
Publication Year
2025
Copyright Information
© 2025 Author(s)
Content License
Metadata License
Book Title
Lectures in Proof Theory and Complexity
Authors
Duccio Pianigiani
Peer Reviewed
Publication Year
2025
Copyright Information
© 2025 Author(s)
Content License
Metadata License
Publisher Name
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
Series Title
UNIverSI. Ricerca e Didattica all’Università di Siena
Series ISSN
3035-5915
Series E-ISSN
3035-5931