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https://hdl.handle.net/2445/192141| Title: | Veritats aritmètiques indemostrables en l'aritmètica de Peano |
| Author: | Pastó Pellicer, Paula |
| Director/Tutor: | Bagaria, Joan |
| Keywords: | Decidibilitat (Lògica matemàtica) Treballs de fi de grau Teoria axiomàtica de conjunts Teoria de la prova Història de la matemàtica Decidability (Mathematical logic) Bachelor's theses Axiomatic set theory Proof theory History of mathematics |
| Issue Date: | 13-Jun-2022 |
| Abstract: | [en] Peano’s arithmetic is given by a set of axioms that express the basic properties and operations of natural numbers. This paper introduces the basics of this theory and studies the undecidability of certain results in it. To do so, it focuses on the Hydra and Hercules theorem, and on Goodstein’s theorem. |
| Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Joan Bagaria |
| URI: | https://hdl.handle.net/2445/192141 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| tfg_pasto_pellicer_paula.pdf | Memòria | 903.85 kB | Adobe PDF | View/Open |
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