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<Text-field style="Heading 1" layout="Normal">paradoxo de Skolem,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.</Font>  (<Font encoding="UTF-8" italic="true">L\303\263gica</Font><Font encoding="UTF-8">) o corol\303\241rio do </Font><Hyperlink linktarget="Dictionary:Definition/Lowenheim-Skolemtheorem" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">teorema de Lowenheim-Skolem</Font></Hyperlink><Font encoding="UTF-8"> que mesmo que aritm\303\251tica seja comprovadamente n\303\243o-cont\303\241vel, ela p\303\263ssui um modelo cont\303\241vel.  A resolu\303\247\303\243o \303\251 que precisamos distinguir o que \303\251 verdadeiro no modelo do que \303\251 verdadeiro do modelo: enquanto o conjunto representando os n\303\272meros reais no modelo \303\251 de fato cont\303\241vel, ele \303\251 n\303\243o-cont\303\241vel no modelo; o mapeamento entre o modelo dos reais os n\303\272meros naturais n\303\243o est\303\241 por si s\303\263 no modelo, de modo que dentro do modelo cont\303\241vel, n\303\243o existe contradi\303\247\303\243o ao teorema de que os n\303\272meros reais sejam n\303\243o-cont\303\241veis em termos do modelo.  Isto dramatiza o fato que mesmo cardinalidade \303\251 relativa \303\240 teoria dentro da qual est\303\241 definida.  Mais geralmente,  a intui\303\247\303\243o de que todos os modelos de uma teoria completa s\303\243o isom\303\263rficos \303\251 falsa.</Font></Text-field>
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