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Master's Dissertation
DOI
https://doi.org/10.11606/D.8.2022.tde-18052023-151023
Document
Author
Full name
Euclides Torres Ometto Stolf
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2022
Supervisor
Committee
Souza, Edelcio Gonçalves de (President)
Leite, Alexandre Fernandes Batista Costa
Nagase, Daniel Arvage
Nakano, Anderson Luis
Title in Portuguese
Objetos Imitadores: teoremas limitativos pensados a partir da computação
Keywords in Portuguese
Computação
Filosofia
Incompletude
Lógica
Abstract in Portuguese
Temos como objetivo analisar fenômenos de autorreferência na lógica e na computação, estabelecendo resultados limitantes para ambas as áreas. Em especial damos uma exposição unificada para o teorema da incompletude, tanto na sua formulação construída por Gödel, quanto na versão demonstrada por Chaitin.
Title in English
Mimetics objects: limitative theorems from compute science
Keywords in English
Computation
Incompleteness
Logic
Philosophy
Abstract in English
Our goal is to analyze self-referential phenomena in logic and computer science, establishing limiting results for both areas. In particular, we give a unified exposition of the incompleteness theorem, both in Gödel's formulation and Chaitin's proof.
 
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Publishing Date
2023-05-18
 
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