Chapter

Understanding the Modern Theory of Infinity.
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1:55:45 - 2:00:42 (04:57)

The modern theory of infinity studies the cardinality of infinite sets and involves dividing lines infinitely to yield smaller segments. Mathematics can treat infinity as a real or ambiguous concept while studying the continuum.

Clips
The podcast discusses the modern theory of infinity and how it is used in mathematics.
1:55:45 - 1:57:40 (01:55)
listen on Spotify
Mathematics
Summary

The podcast discusses the modern theory of infinity and how it is used in mathematics. The speakers also touch on whether infinity should be considered a real thing or not.

Chapter
Understanding the Modern Theory of Infinity.
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast
The concept of infinitesimals, or infinitely small quantities, has been debated since ancient times, but is still relevant in modern mathematics.
1:57:40 - 2:00:42 (03:02)
listen on Spotify
Infinitesimals
Summary

The concept of infinitesimals, or infinitely small quantities, has been debated since ancient times, but is still relevant in modern mathematics.

Chapter
Understanding the Modern Theory of Infinity.
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast