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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2022.tde-08062022-150446
Document
Author
Full name
Pedro Galvão Schoueri
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2022
Supervisor
Committee
Fajardo, Rogerio Augusto dos Santos (President)
Boero, Ana Carolina
Silva, Samuel Gomes da
Title in Portuguese
Fundamentos do forcing
Keywords in Portuguese
Absolutividade
Consistência relativa
Forcing
Metalinguagem
Teoremas de reflexão
Abstract in Portuguese
Neste trabalho vamos apresentar a técnica de forcing, mostrando a consistência relativa entre ZF C e ZF C ` CH. O foco principal da dissertação é a fundamentação lógica da técnica e das ferramentas utilizadas, como o conceito de absolutividade e teoremas de reflexão. Discu- timos com detalhes o uso dos diferentes níveis de linguagem e metalinguagem no processo de formalização.
Title in English
Forcing fondations
Keywords in English
Absoluteness
Forcing
Language
Metalanguage
Reflection theorems
Relative consistency
Abstract in English
In this work we will present the forcing technique, showing the relative consistency of ZFC and ZF C ` CH. The focus of the dissertation is the logic foundation of the technique and its tools, like the concept of absoluteness and reflection theorems. We will discuss in detail the use of different levels of language and metalanguage in the process.
 
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Publishing Date
2022-07-13
 
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