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[SPAM] [obm-l] RES: [obm-l] Conjuntos numéricos na Reta...Boas notícias !!!!
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O livro Foundations of Geometry, de Hilbert (ingl=EAs, =E9 claro) est=E1
dispon=EDvel digitalmente no Projeto Gutemberg (
<http://www.gutenberg.org/wiki/Main_Page>
http://www.gutenberg.org/wiki/Main_Page) !
=20
Divirtam-se.
---
Paulo C. Santos (PC)
UNICARIOCA/RJ - Curso de Tecnologia de Redes
e-mail: paulo@xxxxxxxxxxxx
homepage: http://uniredes.org <http://uniredes.org/>=20
Tel.: (21) 2510.8783 - Cel.: (21) 8753-0729
--------------------------------------------
MS-Messenger: Uniredes_Br@xxxxxxxxxxx
_____ =20
De: owner-obm-l@xxxxxxxxxxxxxx [mailto:owner-obm-l@xxxxxxxxxxxxxx] Em =
nome
de Fernando A Candeias
Enviada em: sexta-feira, 28 de mar=E7o de 2008 18:43
Para: obm-l@xxxxxxxxxxxxxx
Assunto: Re: [obm-l] Conjuntos num=E9ricos na Reta...
Caros colegas de lista
=20
Uma outra maneira de responder ao questionamento do Paulo, mais =
trabalhosa
por=E9m mais intuitiva, est=E1 descrita em Foundations of Geometry, de =
Hilbert.
Ele desenvolve a geometria de maneira puramente axiom=E1tica, e no # 8 =
trata
dos axiomas de continuiidade, que s=E3o o de Arquimedes V.1 e o da =
Completude
da Reta, V.2. A partir do que, juntamente com os axiomas que dizem =
respeito
=E0 ordem, =E9 poss=EDvel demonstrar a equival=EAncia entre os pontos =
da reta e do
conjunto dos reais.=20
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 6.00.6000.16587" name=3DGENERATOR></HEAD>
<BODY>
<DIV dir=3Dltr align=3Dleft><FONT color=3D#0000ff><FONT face=3DArial =
size=3D2>O livro=20
Foundations of Geometry, de Hilbert (ingl=EAs, =E9 claro) est=E1 =
dispon=EDvel=20
digitalmente no Projeto Gutemberg (</FONT><A=20
href=3D"http://www.gutenberg.org/wiki/Main_Page";><FONT face=3DArial=20
size=3D2>http://www.gutenberg.org/wiki/Main_Page</FONT></A><FONT =
face=3DArial><FONT=20
size=3D2>)<SPAN class=3D231332415-01042008> =
!</SPAN></FONT></FONT></FONT></DIV>
<DIV dir=3Dltr align=3Dleft><FONT color=3D#0000ff><FONT =
face=3DArial><FONT size=3D2><SPAN=20
class=3D231332415-01042008></SPAN></FONT></FONT></FONT> </DIV>
<DIV dir=3Dltr align=3Dleft><FONT color=3D#0000ff><FONT =
face=3DArial><FONT size=3D2><SPAN=20
class=3D231332415-01042008>Divirtam-se.</SPAN></FONT></FONT></FONT></DIV>=
<DIV dir=3Dltr align=3Dleft><FONT color=3D#0000ff><FONT =
face=3DArial><FONT size=3D2><SPAN=20
class=3D231332415-01042008><!-- Converted from text/plain format =
--></DIV>
<DIV dir=3Dltr align=3Dleft>
<P><FONT size=3D2>---<BR>Paulo C. Santos (PC)<BR>UNICARIOCA/RJ - Curso =
de=20
Tecnologia de Redes<BR><BR>e-mail: paulo@xxxxxxxxxxxx<BR>homepage: <A=20
href=3D"http://uniredes.org/";>http://uniredes.org</A><BR>Tel.: (21) =
2510.8783 -=20
Cel.: (21)=20
8753-0729<BR>--------------------------------------------<BR>MS-Messenger=
:=20
Uniredes_Br@xxxxxxxxxxx<BR></FONT></SPAN></FONT></FONT></FONT></P></DIV>
<DIV class=3DOutlookMessageHeader lang=3Dpt-br dir=3Dltr align=3Dleft>
<HR tabIndex=3D-1>
<FONT face=3DTahoma size=3D2><B>De:</B> owner-obm-l@xxxxxxxxxxxxxx=20
[mailto:owner-obm-l@xxxxxxxxxxxxxx] <B>Em nome de </B>Fernando A=20
Candeias<BR><B>Enviada em:</B> sexta-feira, 28 de mar=E7o de 2008=20
18:43<BR><B>Para:</B> obm-l@xxxxxxxxxxxxxx<BR><B>Assunto:</B> Re: =
[obm-l]=20
Conjuntos num=E9ricos na Reta...<BR></FONT><BR></DIV>
<DIV></DIV>
<DIV>Caros colegas de lista</DIV>
<DIV><FONT face=3DArial color=3D#0000ff size=3D2></FONT> </DIV>
<DIV>Uma outra maneira de responder ao questionamento do Paulo, mais =
trabalhosa=20
por=E9m mais intuitiva, est=E1 descrita em Foundations of Geometry, de =
Hilbert. Ele=20
desenvolve a geometria de maneira puramente axiom=E1tica, e no # 8 trata =
dos=20
axiomas de continuiidade, que s=E3o o de Arquimedes V.1 e o da =
Completude da Reta,=20
V.2. A partir do que, juntamente com os axiomas que dizem =
respeito =E0=20
ordem, =E9 poss=EDvel demonstrar a equival=EAncia entre =
os pontos=20
da reta e do conjunto dos reais. </DIV></BODY></HTML>
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