quartonews.it » Math and Science » Zermelo's Axiom of Choice: Its Origins, Development, and Influence (Studies in the History of Mathematics and Physical Sciences, No. 8)

Author: | Gregory H. Moore |

Subcategory: | Mathematics |

Language: | English |

Publisher: | Springer; y First printing edition (November 17, 1982) |

Pages: | 412 pages |

Category: | Math and Science |

Rating: | 4.3 |

Other formats: | lit lrf mobi docx |

The origins of Zermelo's Axiom of Choice, as well as the controversy that it. .Studies in the History of Mathematics and Physical Sciences. Table of contents (7 chapters).

The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned. Zermelo’s Axiom of Choice. Its Origins, Development, and Influence.

Antiquity - A History of Ancient Mathematical Astronomy Studies in the History of Mathematics and .

Antiquity - A History of Ancient Mathematical Astronomy Studies in the History of Mathematics and Physical Sciences, I. Berlin, Heidelberg, & New York: Springer-Verlag, 1975.

Some authors of mathematics history make their books almost useless by avoiding mathematics as much as.Moore mentions, by the way, that the von Neumann universe was actually due to Zermelo.

Some authors of mathematics history make their books almost useless by avoiding mathematics as much as possible, which is a bit pointless really. I checked the 1920s literature and verified that in fact von Neumann's papers did not mention the cumulative type hierarchy which we now call the von Neumann universe, but Zermelo did present this universe in a 1930 paper. All the way through this book, there are insights into the historical context and development of set theory, proof theory and mathematics generally. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern

The origins of Zermelo's Axiom of Choice, as. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern.

The origins of Zermelo's Axiom of Choice, as well as. Ernst Zermelo as a young man (courtesy of Mrs. Gertnid Zermelo).

Zermelo's axiom of choice. Studies in the history of mathematics and physical sciences, vol. 8. Springer-Verlag, New York, Heidelberg, and Berlin, 1982, xiv + 410 pp. Jean E. Rubin.

The Axiom of Choice is the most controversial axiom in the entire history of mathematics This book covers the Axiom's prehistory of implicit uses in the 19th century, its explicit formulation by Zermelo in 1904, the firestorm of controversy that it caused - in England.

The Axiom of Choice is the most controversial axiom in the entire history of mathematics. Yet it remains a crucial assumption not only in set theory but equally in modern algebra, analysis, mathematical logic, and topology (often under the name Zorn's Lemma). This book covers the Axiom's prehistory of implicit uses in the 19th century, its explicit formulation by Zermelo in 1904, the firestorm of controversy that it caused - in England, France, Germany, Italy, and the .

The origins of Zermelo's Axiom of Choice, as well .

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This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography.

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