Algemeen Nederlands Tijdschrift voor Wijsbegeerte 113 (1):157-182 (2021)
Authors |
|
Abstract |
Kurt Gödel’s incompleteness theorems and the limits of knowledgeIn this paper a presentation is given of Kurt Gödel’s pathbreaking results on the incompleteness of formal arithmetic. Some biographical details are provided but the main focus is on the analysis of the theorems themselves. An intermediate level between informal and formal has been sought that allows the reader to get a sufficient taste of the technicalities involved and not lose sight of the philosophical importance of the results. Connections are established with the work of Alan Turing and Hao Wang to show the present-day relevance of Gödel’s research and how it relates to the limitations of human knowledge, mathematical knowledge in particular.
|
Keywords | No keywords specified (fix it) |
Categories |
No categories specified (categorize this paper) |
DOI | 10.5117/antw2021.1.007.vanb |
Options |
![]() ![]() ![]() ![]() |
Download options
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Kurt Gödel, Paper on the Incompleteness Theorems (1931).Richard Zach - 2005 - In Ivor Grattan-Guinness (ed.), Landmark Writings in Mathematics. Amsterdam: North-Holland. pp. 917-925.
Review of T. Franzen, Godel's Theorem: An Incomplete Guide to its Use and Abuse. [REVIEW]S. Shapiro - 2006 - Philosophia Mathematica 14 (2):262-264.
Kurt Gödels philosophische Notizbücher als Denkraum und Exerzitium.Eva-Maria Engelen - 2019 - Deutsche Zeitschrift für Philosophie 67 (2):251-264.
Einige Bemerkungen Kurt Gödels zur Mengenlehre.Merlin Carl and Eva-Maria Engelen - 2019 - SieB – Siegener Beiträge Zur Geschichte Und Philosophie der Mathematik 11:143–169.
Gödel's Incompleteness Theorems.Panu Raatikainen - 2013 - The Stanford Encyclopedia of Philosophy (Winter 2013 Edition), Edward N. Zalta (Ed.).
Kurt Gödel’s Religious Worldview.Miloš Dokulil - 2020 - Journal of Interdisciplinary Studies 32 (1-2):95-118.
Philosophie I Maximen 0 / Philosophy I Maxims 0: Philosophische Notizbücher Band 1 / Philosophical Notebooks Volume 1.Kurt Gödel - 2019 - Berlin / Boston: De Gruyter.
Introductory Note to Kurt Gödel's ``Some Basic Theorems on the Foundations of Mathematics and Their Implications''.George Boolos - 1995 - In Solomon Feferman (ed.), Kurt Gödel, Collected Works. Oxford University Press. pp. 290-304.
What is the Link Between Aristotle’s Philosophy of Mind, the Iterative Conception of Set, Gödel’s Incompleteness Theorems and God? About the Pleasure and the Difficulties of Interpreting Kurt Gödel’s Philosophical Remarks.Eva-Maria Engelen - forthcoming - In Gabriella Crocco & Eva-Maria Engelen (eds.), Kurt Gödel: Philosopher-Scientist. Presses Universitaires de Provence.
Kurt Gödel and Computability Theory.Richard Zach - 2006 - In Arnold Beckmann, Ulrich Berger, Benedikt Löwe & John V. Tucker (eds.), Logical Approaches to Computational Barriers. Second Conference on Computability in Europe, CiE 2006, Swansea. Proceedings. Berlin: Springer. pp. 575--583.
Analytics
Added to PP index
2021-05-17
Total views
9 ( #951,195 of 2,507,805 )
Recent downloads (6 months)
2 ( #277,114 of 2,507,805 )
2021-05-17
Total views
9 ( #951,195 of 2,507,805 )
Recent downloads (6 months)
2 ( #277,114 of 2,507,805 )
How can I increase my downloads?
Downloads