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The nineteenth century saw the paradoxes and obscurities of eighteenth-century calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real... Read Full Overview

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview

"Die Zahlen sind freie Sch pfungen des menschlichen Geistes, sie dienen als Mittel, um die Verschiedenheit der Dinge leichter und sch rfer aufzufassen. Durch den rein logischen Aufbau der Zahlenwissenschaft und durch das in ihr gewonnene stetige Zahlenreich sind wir erst in den... Read Full Overview

"Die Zahlen sind freie Sch pfungen des menschlichen Geistes, sie dienen als Mittel, um die Verschiedenheit der Dinge leichter und sch rfer aufzufassen. Durch den rein logischen Aufbau der Zahlenwissenschaft und durch das in ihr gewonnene stetige Zahlenreich sind wir erst in den... Read Full Overview

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original... Read Full Overview

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.

This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.

This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview