Chapter
The Twin Prime Conjecture
1:48:52 - 1:55:45 (06:52)
The Twin Prime Conjecture is the idea that there are infinitely many prime numbers that differ by two; some mathematicians believe there may be a deeper structure involved in this pattern. However, as more primes are discovered, it is not necessarily a new discovery or experience.
Clips
The twin prime conjecture can be understood by treating primes as randomly distributed numbers instead of looking for deep structures that make them close to each other.
1:48:52 - 1:51:17 (02:24)
Summary
The twin prime conjecture can be understood by treating primes as randomly distributed numbers instead of looking for deep structures that make them close to each other.
ChapterThe Twin Prime Conjecture
Episode#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
PodcastLex Fridman Podcast
The speaker argues that understanding people's wants and needs requires treating them as beings that do things on purpose, while treating prime numbers as a random process can help in determining expected outcomes and proving them to be true.
1:51:18 - 1:52:38 (01:20)
Summary
The speaker argues that understanding people's wants and needs requires treating them as beings that do things on purpose, while treating prime numbers as a random process can help in determining expected outcomes and proving them to be true.
ChapterThe Twin Prime Conjecture
Episode#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
PodcastLex Fridman Podcast
To better understand the failures of machine learning systems, it's important to ask what the machine was thinking in those edge cases.
1:52:38 - 1:54:11 (01:32)
Summary
To better understand the failures of machine learning systems, it's important to ask what the machine was thinking in those edge cases. In robotics, naming or gendering robots can lead to personification and a construction of a life story, which may not be ideal.
ChapterThe Twin Prime Conjecture
Episode#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
PodcastLex Fridman Podcast
The concept of finiteism, ultra finiteism, and intuitionism in mathematics, and the question of the usefulness of infinity as a tool in mathematics versus its potential for corrupting reason, are explored in this episode.
1:54:11 - 1:55:45 (01:33)
Summary
The concept of finiteism, ultra finiteism, and intuitionism in mathematics, and the question of the usefulness of infinity as a tool in mathematics versus its potential for corrupting reason, are explored in this episode.