Where Can I Find Cantor and Dedekind's Letters on Set Theory Development?

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In summary, "Letters: Cantor and Dedekind" is a collection of letters that demonstrate the development of set theory and the concept of infinity, as well as the personal relationship between mathematicians Georg Cantor and Richard Dedekind. Both Cantor and Dedekind were prominent mathematicians in the late 19th and early 20th century, who made significant contributions to the field of mathematics. Set theory is a branch of mathematics that deals with the study of sets, and the work of Cantor and Dedekind helped shape this field and laid the groundwork for modern mathematics. The letters between Cantor and Dedekind provide insight into their thought processes and personal relationship, and also serve as historical documents that shed light on the
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aleph-aleph
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Does anyone know where to get the letters(English translation) between Cantor and Dedekind during the development of set theory??
 
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Here is an excerpt of their correspondence at least.
 
  • #4
You should check From Kant to Hilbert, volume 2 by Ewald. The letters begin on page 843. Most of them may be viewed on Google Books.
 

1. What is the significance of "Letters: Cantor and Dedekind" in mathematics?

"Letters: Cantor and Dedekind" is a collection of letters exchanged between mathematicians Georg Cantor and Richard Dedekind. These letters are significant because they demonstrate the development of set theory and the concept of infinity, as well as the personal relationship between Cantor and Dedekind.

2. Who were Georg Cantor and Richard Dedekind?

Georg Cantor and Richard Dedekind were two prominent mathematicians in the late 19th and early 20th century. They both made significant contributions to the field of mathematics, particularly in the areas of set theory and the concept of infinity.

3. What is set theory?

Set theory is a branch of mathematics that deals with the study of sets, which are collections of objects. It provides a foundation for modern mathematics and is widely used in many fields, including computer science and physics.

4. How did Cantor and Dedekind contribute to the development of set theory?

Cantor is best known for his work on the concept of infinity, including the development of the theory of transfinite numbers. Dedekind is known for his contributions to the foundations of real analysis, including the definition of real numbers and the Dedekind cut. Together, their work helped shape the field of set theory and laid the groundwork for modern mathematics.

5. What can we learn from the letters exchanged between Cantor and Dedekind?

The letters between Cantor and Dedekind provide insight into their thought processes and the development of their ideas. They also offer a glimpse into the personal relationship between these two influential mathematicians. Additionally, the letters serve as historical documents that shed light on the development of set theory and the concept of infinity.

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