This description was written by a machine and published without a person checking it. It is what the agent made of this grouping, and not a statement anybody has stood behind.

The axioms before Peano

A subject the papers are about. The loosest grouping, and the one to reach for last.

Where the Peano axioms came from. Collects the nineteenth-century originals the standard account names -- Grassmann, Frege, Dedekind, Peano -- in the language each was written in, with the notation sources they depend on. The set is a priority dispute, so membership requires the original text rather than a later exposition.

19 references

Giuseppe Peano and his school: Axiomatics, symbolism and rigor
Paola Cantù and others (2021) · Philosophia Scientiae · Éditions Kimé
Peano and the Debate on Infinitesimals
Paolo Freguglia (2021) · Philosophia Scientiae · Éditions Kimé
Dedekinds Sätze und Peanos Axiomata
Reinhard Kahle (2021) · Philosophia Scientiae
Gödel's Reading of Peano's Arithmetices Principia
Jan von Plato (2021) · Philosophia Scientiae · Éditions Kimé
Logic as Calculus and Logic as Language: Too Suggestive to be Truthful?
Jan von Plato (2021) · Philosophia Scientiae · Éditions Kimé
Constructive geometry and the parallel postulate
Michael Beeson (2016) · Bulletin of Symbolic Logic
Das Induktions-Prinzip
Ulrich Felgner (2012) · Jahresbericht der Deutschen Mathematiker-Vereinigung · Springer Fachmedien Wiesbaden GmbH
Peano and the Foundations of Arithmetic
Gabriele Lolli (2011) · Giuseppe Peano between Mathematics and Logic · Springer
Peano Arithmetic
Guram Bezhanishvili (2010) · Learning Discrete Mathematics and Computer Science via Primary Historical Sources, New Mexico State University (NMSU), Old Dominion University (ODU), Colorado State University at Pueblo (CSU-P)
Richard Dedekind (1888) and Giuseppe Peano (1889), booklets on the Foundations of Arithmetic
José Ferreirós (2005) · Landmark Writings in Western Mathematics 1640-1940 · Elsevier
Selected Works of Giuseppe Peano
Hubert C. Kennedy (1973) · University of Toronto Press
The mathematical philosophy of Giuseppe Peano
Hubert C. Kennedy (1963) · Philosophy of Science
The axiomatization of arithmetic
Hao Wang (1957) · The Journal of Symbolic Logic
History of the parallel postulate
Florence P. Lewis (1920) · The American Mathematical Monthly
Arithmetices principia, nova methodo exposita
Giuseppe Peano (1889) · Fratres Bocca
Was sind und was sollen die Zahlen?
Richard Dedekind (1888) · Friedrich Vieweg und Sohn
Die Grundlagen der Arithmetik: Eine logisch mathematische Untersuchung über den Begriff der Zahl
Gottlob Frege (1884) · Wilhelm Koebner
Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens
Gottlob Frege (1879) · Louis Nebert
Lehrbuch der Arithmetik für höhere Lehranstalten
Hermann Grassmann (1861) · Th. Chr. Fr. Enslin