Hypernatural Numbers as Ultrafilters

2015/01/23 by Mauro Di Nasso, Di Nasso, Mauro · 3 citations
Mathematics · Computer Science · #Mathematical and Theoretical Analysis #Computability, Logic, AI Algorithms #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.1501.05755

Abstract

In this paper we present a use of nonstandard methods in the theory of ultrafilters and in related applications to combinatorics of numbers.

Cited by

• Hypernatural numbers in arithmetic Ramsey theory
• Asymptotic Ramsey theory of Diophantine equations
• Weak, strong and mixed extensions of relations to spaces of ultrafilters

Related

• Hyperintegers and Nonstandard Techniques in Combinatorics of Numbers
• Hypernatural numbers in arithmetic Ramsey theory
• On The Model Of Hyperrational Numbers With Selective Ultrafilter
• A taste of nonstandard methods in combinatorics of numbers
• The combinatorics of reasonable ultrafilters