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Topic: [HM] Peano and Landau
Replies: 21   Last Post: May 8, 2001 1:51 PM

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Enrico Pasini

Posts: 5
Registered: 12/3/04
Re: [HM] Peano and Landau
Posted: May 1, 2001 10:09 AM
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> what language is this?

That is Latin:

> Utilius quoque mihi fuit recens scriptum: R. DEDEKIND, Was sind und
> was sollen die Zahlen, Braunschweig, 1888, in quo quaestiones, quae
> ad numerorum fundamenta pertinent, acute examinantur.

(Peano, Arithm. princ., Praefatio, p. V)

This is (might be) the same text in Latino sine flexione:

Ad me es magis utile etiam scripto recente: R. DEDEKIND, Was sind
und was sollen die Zahlen, Braunschweig, 1888, que contine acuto
examinatione de questiones que pertine ad fundamento de numeros.

Comments unwelcome :)

The "Arithmetices principia nova methodo exposita" (written in Latin,
Jove knows why) were published by Peano in 1899; he first used Lsf in
"De latino sine flexione" and "Principio de permanentia", 1903. These
two articles appeared in his Rivista di matematica and were re-issued
together as a booklet.

This, of course, has nothing to do with the question of Peano's
axioms (9 axioms in the Arithm. princ., 4 of which concerning the =
sign) depending on previous works --not necessarily (only)
Dedekind's. FWIW, Kennedy states Peano read Dedekind's article only
when his own work was "going to press".

Best wishes

Enrico Pasini -
Dipartimento di Discipline Filosofiche
Universita' degli Studi di Torino - IT

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