Gödel’s Reading of Peano’s Arithmetices Principia

Philosophia Scientiae 25:185-192 (2021)
  Copy   BIBTEX

Abstract

In preparation for his article on Russell’s mathematical logic (1944), Gödel read carefully Peano’s Arithmetices Principia. His six pages of summary in the Gabelsberger shorthand contain a remarkable analysis of the formal structure of Peano’s proofs which is diametrically opposed to the common view that Peano’s treatise contained no formal deductive machinery.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,907

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Completeness and the Ends of Axiomatization.Michael Detlefsen - 2014 - In Juliette Cara Kennedy (ed.), Interpreting Gödel. New York: Cambridge University Press. pp. 59-77.
Lucas Against Mechanism II.J. R. Lucas - 1984 - Canadian Journal of Philosophy 14 (2):189-191.
Lucas against mechanism II: A rejoinder.John R. Lucas - 1984 - Canadian Journal of Philosophy 14 (June):189-91.
Gödel’s Incompleteness Theorems and Physics.Newton C. A. Da Costa - 2011 - Principia: An International Journal of Epistemology 15 (3):453-459.
A constructive analysis of learning in Peano Arithmetic.Federico Aschieri - 2012 - Annals of Pure and Applied Logic 163 (11):1448-1470.
Injecting uniformities into Peano arithmetic.Fernando Ferreira - 2009 - Annals of Pure and Applied Logic 157 (2-3):122-129.

Analytics

Added to PP
2021-04-01

Downloads
8 (#1,339,958)

6 months
4 (#855,130)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references