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Excerpt from Principia Mathematica, Vol. 3
The theory of measurement developed in Part VI will be required in the next volume for the introduction of coordinates in Geometry.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Principia Mathematica, Vol. 3 (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333598112
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Principia Mathematica, Vol. 3 (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333598112
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Principia Mathematica, Vol. 3 (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book delves into the fascinating world of well-ordered series, a concept crucial to understanding the foundations of mathematics. The author, working within the broader context of set theory, explores the unique properties of these series, which differ significantly from other types of series. The book meticulously examines the concept of transfinite induction, a powerful tool for reasoning about well-ordered series. This method, which extends the familiar principle of mathematical induction, enables the author to prove profound results about the structure and behavior of these series. The author also sheds light on the concept of ordinal numbers, which are defined as the relation-numbers of well-ordered series. These numbers, unlike the more familiar natural numbers, can be transfinite, reflecting the infinite nature of certain well-ordered series. The book explores the properties of ordinal numbers, including their addition, multiplication, and exponentiation. The author's in-depth analysis of well-ordered series and ordinal numbers provides invaluable insights into the fundamental building blocks of mathematics, offering a deeper understanding of the nature of infinity and the power of logical reasoning. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333598112_0
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