De onvolledigheid van theorieën en de ondefinieerbaarheid en onberekenbaarheid van waarheid, bewezen met de paradox van Berry

Bachelor Thesis (2019)
Author(s)

R.A.B. Hemerik (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Contributor(s)

Klaas Pieter Hart – Mentor (TU Delft - Analysis)

Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright
© 2019 Roel Hemerik
More Info
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Publication Year
2019
Language
Dutch
Copyright
© 2019 Roel Hemerik
Graduation Date
11-06-2019
Awarding Institution
Delft University of Technology
Programme
Applied Mathematics
Faculty
Electrical Engineering, Mathematics and Computer Science
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Abstract

We explore the proof Boolos has given for Gödel's first incompleteness theorem, which has a lot of similarities with Berry's Paradox. Then we give a proof for Tarski's theorem about the undefinability of truth and Turing's solution for the Entscheidungsproblem in a similar way.

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