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call the writing style "leisurely" and "unhurried", and although
Gillman criticizes the translation from an earlier Polish-language manuscript into English as unpolished, and points to several errors in the bibliography, he does not find the writing in the text of the book to be problematic.
157:, their arithmetic, and series and products of cardinal numbers, comprising approximately 50 pages. Following this, four longer chapters (totalling roughly 180 pages) cover orderings of sets,
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The second edition makes only minor changes to the first except for adding footnotes concerning two later developments in the area: the proof by
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writes that it is highly valuable "as a compendium of interesting mathematical information, presented with care and clarity". Both
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SierpiĆski was known for his significant contributions to the theory of transfinite numbers;, reviewer
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according to which the collection of all ordinal numbers cannot be a set. Three final chapters concern
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of the independence of the continuum hypothesis, and the construction by
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Institute of
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and set-theoretic notation, and a sixth chapter on the
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calls his book "a goldmine of results", and similarly
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16:1958 book by WacĆaw SierpiĆski
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123:PaĆstwowe Wydawnictwo Naukowe
75:PaĆstwowe Wydawnictwo Naukowe
20:Cardinal and Ordinal Numbers
467:Cardinal and Ordinal Numbers
448:Cardinal and Ordinal Numbers
366:Cardinal and Ordinal Numbers
364:(December 1966), "Review of
323:Cardinal and Ordinal Numbers
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102:487 (1st ed.); 491 (2nd ed.)
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117:, by Polish mathematician
404:Willard, Stephen (1970),
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371:The Mathematical Gazette
465:Neumer, W., "Review of
137:was published in 1965.
55:Monografie Matematyczne
513:1958 non-fiction books
208:Audience and reception
196:in which all sets of
328:Mathematical Reviews
179:continuum hypothesis
171:Burali-Forti paradox
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446:(1960), "Review of
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63:the mathematics of
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508:Mathematics books
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