The Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.


Math Forum » Discussions » Inactive » Historia-Matematica

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Enrico Pasini

Posts: 5
Registered: 12/3/04
Re: [HM] Peano and Landau
Posted: May 1, 2001 10:09 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


> 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

ep
--
Enrico Pasini - enrico.pasini@unito.it
Dipartimento di Discipline Filosofiche
Universita' degli Studi di Torino - IT






Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.