From the finite to the infinite and back

• Grant number: 18/18051-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2018
• End date: November 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Leandro Fiorini Aurichi
• Grantee: Lucas Silva Sinzato Real
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

There are many examples in mathematics of finitary affirmations that have infinitary versions. There are as well finitary affirmations that have simple proofs, but with infinitary arguments. It is not unusual the dual of this: infinitary affirmations with finitary arguments. The objective of this project is to show some of these affirmations.