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Prior typo-fixing edit bumped it, so add the title of the article
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LSpice
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A nice proof based on the property that each bounded subset of the reals has a supremum can be found in this article.Levy - An unusual proof that the reals are uncountable.

A nice proof based on the property that each bounded subset of the reals has a supremum can be found in this article.

A nice proof based on the property that each bounded subset of the reals has a supremum can be found in Levy - An unusual proof that the reals are uncountable.

corrected typo
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A nice proof based on the property that each bounded subset of the reals has a surpremumsupremum can be found in this article.

A nice proof based on the property that each bounded subset of the reals has a surpremum can be found in this article.

A nice proof based on the property that each bounded subset of the reals has a supremum can be found in this article.

http -> https (the question was bumped anyway)
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Martin Sleziak
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A nice proof based on the property that each bounded subset of the reals has a surpremum can be found in this article.this article.

A nice proof based on the property that each bounded subset of the reals has a surpremum can be found in this article.

A nice proof based on the property that each bounded subset of the reals has a surpremum can be found in this article.

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Ralph
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