<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1982-596x</journal-id>
<journal-title><![CDATA[Educação e Filosofia]]></journal-title>
<abbrev-journal-title><![CDATA[Educação e Filosofia]]></abbrev-journal-title>
<issn>1982-596x</issn>
<publisher>
<publisher-name><![CDATA[Universidade Federal de Uberlândia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1982-596x2011000200016</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[Paradoxos, o infinito e a intuição geométrica]]></article-title>
</title-group>
<aff id="A16">
<institution><![CDATA[,Universidade Federal de Uberlândia  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2011</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2011</year>
</pub-date>
<volume>25</volume>
<numero>50</numero>
<fpage>717</fpage>
<lpage>739</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S1982-596x2011000200016&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S1982-596x2011000200016&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S1982-596x2011000200016&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Analisam-se neste artigo alguns resultados matemáticos que já foram assinalados como contrários à intuição e se realiza uma pesquisa das possíveis causas desse caráter contraintuitivo. Nesse sentido, são estudados o Paradoxo de Galileu, a demonstração de Cantor de que o segmento tem a mesma quantidade de pontos que o quadrado e o Paradoxo de Tarski- Banach. Primeiro é discutido o papel que o conceito de infinito e princípios como “o todo é maior que a parte” têm nesses paradoxos. Em segundo lugar, é estudada a influência que as intuições geométricas têm em alguns paradoxos e a relação delas com a concepção de geometria do Erlanger Programm de Felix Klein.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[This paper studies some mathematical results formerly characterized as opposed to the intuition and also carries out a query for the possible causes of this counter-intuitive feature. In this sense, both Tarski-Banach and Galileo’s paradoxes are discussed and Cantor’s proof that the segment and the square have the same number of points is analyzed. In particular, it is examined the role that the concept of infinity and such principles as “the whole is greater than the part” have in these paradoxes. Furthermore, the effect that geometrical intuitions have on some paradoxes as well as the relationship between these intuitions and the concept of geometry of the Erlanger Programm of Felix Klein are discussed.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Paradoxos]]></kwd>
<kwd lng="pt"><![CDATA[Intuição]]></kwd>
<kwd lng="pt"><![CDATA[Erlanger Programm]]></kwd>
<kwd lng="en"><![CDATA[Paradox]]></kwd>
<kwd lng="en"><![CDATA[Intuition]]></kwd>
<kwd lng="en"><![CDATA[Erlanger Programm]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="Arial, Helvetica, sans-serif"> <h2>Paradoxos,  o infinito e a intui&ccedil;&atilde;o geom&eacute;trica.</h2>     <p>&nbsp;</p> <h4>Carlos  G. Gonz&aacute;lez    <br> </h4> </font>      ]]></body>
</article>
