| The cantor's solo is the most passionate, heartrending music of the liturgical year. |
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| Bolzano's theories of mathematical infinity anticipated Georg Cantor's theory of infinite sets. |
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| Using his position at the University of Berlin he dedicated himself to rubbishing Cantor's ideas and ruining him personally. |
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| The digits of ternary numerals can also help illuminate a peculiar mathematical object called the Cantor set, or Cantor's dust. |
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| In particular he strongly criticised Cantor's and Dedekind's theories of irrational numbers. |
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| At the same time, there was an exhilarating account of the infinite in Georg Cantor's set theory. |
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| In 1907 he introduced special types of ordinals in an attempt to prove Cantor's continuum hypothesis. |
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| This innocent-sounding question has stumped mathematicians from Cantor's time to the present. |
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| Cantor's involvement with her clients goes far beyond professional detachment. |
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| A good axiom, he felt, should help mathematicians settle not only the continuum hypothesis but also many other questions about Cantor's hierarchy of infinite sets. |
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| Now within any bounded region of Euclidean space it can be shown that Cantor's continua coincide with continua in the sense of the modern definition. |
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| An entire chapter is devoted to cleavages, and another to infinity, beginning with Zeno's paradoxes and leading up to Cantor's transfinite cardinals. |
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| For finite sets of finite entities it is easy to prove Cantor's Theorem, namely that the number of members of a set is strictly less than the number of its subsets. |
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| In a wider context, there was an attempt to base all of mathematics on Cantor's set theory. |
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| Cantor's first order of business will be the re-audit of EWI's 2003 annual financial statements. |
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