What are surreal numbers and how do they work?

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Discussion Overview

The discussion revolves around surreal numbers, including their definition, notation, and potential applications to infinities and infinitesimals. Participants seek a deeper understanding of the concept and its mathematical framework.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant requests a detailed explanation of surreal numbers, including how they work and how to notate them.
  • Another participant suggests consulting the Wikipedia entry for information on surreal numbers.
  • A different participant provides a link to a document that may contain detailed information about surreal numbers.
  • There is a mention of Conway's book, "Numbers and Games," as a valuable resource for understanding surreal numbers.

Areas of Agreement / Disagreement

The discussion does not appear to have a consensus, as participants are sharing resources and seeking clarification rather than agreeing on a specific understanding of surreal numbers.

Contextual Notes

Some participants express uncertainty about the notation and expansion of surreal numbers to infinities and infinitesimals, indicating that these aspects may require further exploration.

Aakash Lakshmanan
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Hey guys! I have heard of this concept in various places and sort of understands what it attempts to do. Can anybody please explain it to me in more detail like how it works, how to notate it, and how to expand it to infinities and infinitesimals. Thanks in advance!

Aakash Lakshmanan
xphysx.com - a repository of cool physics (and math)
 
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Aakash Lakshmanan said:
Hey guys! I have heard of this concept in various places and sort of understands what it attempts to do. Can anybody please explain it to me in more detail like how it works, how to notate it, and how to expand it to infinities and infinitesimals. Thanks in advance!

Aakash Lakshmanan
xphysx.com - a repository of cool physics (and math)

Hello, you can find detailed information at: https://www.whitman.edu/Documents/Academics/Mathematics/Grimm.pdf
 
Aakash Lakshmanan said:
Hey guys! I have heard of this concept in various places and sort of understands what it attempts to do. Can anybody please explain it to me in more detail like how it works, how to notate it, and how to expand it to infinities and infinitesimals. Thanks in advance!

Aakash Lakshmanan
xphysx.com - a repository of cool physics (and math)
Conway invented them and his little book, "Numbers and Games(?)" is terrific.
 

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