Math Meme Review with Grant Sanderson (3Blue1Brown) | Summary and Q&A

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August 24, 2020
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Lex Fridman
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Math Meme Review with Grant Sanderson (3Blue1Brown)

TL;DR

Grant Sanderson reviews a series of math memes, sharing his thoughts and insights on each one.

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Questions & Answers

Q: What is the goal of a meme review?

The goal of a meme review is to analyze and provide commentary on various memes, in this case, related to math.

Q: What is the significance of dividing by zero?

Dividing by zero is considered undefined in mathematics and can lead to contradictions and inconsistencies in calculations.

Q: How does projective geometry relate to the devil in the upper right quadrant meme?

Grant Sanderson believes the devil in the upper right quadrant meme doesn't appreciate projective geometry enough, highlighting the importance of understanding different mathematical concepts.

Q: Why is quantity important in machine learning?

Machine learning involves performing tasks repeatedly, and larger quantities of data can yield better results and uncover hidden patterns.

Q: How does diversity intersect with numbers?

Sanderson mentions that people often overlook the diversity of number systems, and the meme fails to address the underrepresentation of periodic numbers.

Q: What is the implication of getting a degree in math?

While obtaining a degree in math is an achievement, there is always more to learn, and the field of math is vast and constantly expanding.

Q: Is there potential for a popular math show?

Grant Sanderson believes there is a significant appetite for a math-focused show, similar to shows like Cosmos, as long as it delivers substantive content and interesting mathematical concepts.

Q: How does compact notation in calculus affect students' understanding?

Grant Sanderson discusses how compact notation in calculus, like using "1/cos^2" instead of "secant," can confuse calculus students and contribute to their struggle in understanding the subject.

Q: What is the goal of a meme review?

The goal of a meme review is to analyze and provide commentary on various memes, in this case, related to math.

More Insights

  • Dividing by zero is considered a break in the mathematical universe.

  • Projective geometry is an underappreciated concept in popular math discussions.

  • Machine learning benefits from working with large quantities of data.

  • The diversity of number systems can be overlooked in mathematical discussions.

  • Obtaining a math degree is just the beginning, as there is always more to learn.

  • There is an appetite for a substantive and engaging math-focused show.

  • Compact notation in calculus can sometimes hinder students' understanding.

  • Math memes can be humorous and creative, providing a different perspective on mathematical concepts.

Summary

In this video, Grant Sanderson, also known as Three Blue One Brown, reviews and discusses various math memes with a host. They touch upon topics such as dividing by zero, machine learning, diversity in number systems, the complexity of math, the potential for a popular math TV show, and more.

Questions & Answers

Q: What is Grant's review of the meme about dividing by zero?

Grant jokingly suggests that the devils in the upper right quadrant aren't appreciative enough of projective geometry. He finds the meme amusing but also highlights the notion of dividing by zero breaking the universe.

Q: How does Grant review the meme about machine learning?

Grant points out that the meme captures the idea of machine learning continually doing the same task, but on a larger scale. He relates it to the concept of quantity having its own quality, emphasizing the magic that can happen with larger scales, like with GPT-3. He also remarks humorously that Einstein didn't have 175 billion parameters.

Q: What is Grant's review of the meme about numbers?

Grant comments that the meme, which implies that people think they know all the numbers, neglects diversity concerns in number systems. He believes it is narrow-minded and fails to consider the underrepresentation of periodic numbers in people's understanding of different number systems.

Q: Considering Grant's studies of college-level math, what does he comment on about the meme regarding math degrees?

Grant finds the meme uncomfortably true, suggesting that there is always a significant amount of remaining knowledge even after obtaining a math degree. He acknowledges that math is challenging and there is much more to learn.

Q: What is Grant's response to the meme featuring a fish eating a cat and vice versa?

Grant provides a positive review, stating that the meme should be included in every algebra textbook. He appreciates the visual representation of the concept and finds it amusing.

Q: How does Grant react to the meme about pouring beer into a square glass?

Grant expresses that he is not impressed by the meme and finds it underwhelming. He implies that engineering often seems more impressive compared to pouring beer into a square glass.

Q: What is Grant's view on the potential for popularizing math in the media?

Grant believes that there is a substantial appetite for a cosmos-like show dedicated to mathematics. He mentions that while it wouldn't be easy to strike the right balance between substantive content and accessibility, he thinks there is enough interesting math to capture the interest of a wide audience.

Q: What is Grant's opinion of the meme about half-off haircuts?

Grant loves the meme and finds it brilliant. He offers no substantive description but simply expresses his enjoyment of it.

Q: How does Grant respond to the meme about simplifying trigonometric functions?

Grant acknowledges that simplifying trigonometric functions like tangent by using the reciprocal relationships can make the notation more compact. However, he also acknowledges that it can be confusing for calculus students, contributing to the problem of understanding trigonometric functions.

Q: What final sentiment does Grant express to the host?

Grant appreciates the opportunity to review math memes and jokingly thanks the host for engaging in the "most absurd thing" they have likely ever done.

Takeaways

In this video, Grant Sanderson reviews various math-related memes and provides entertaining and insightful comments on each one. He highlights the need for a deeper understanding and representation of math in popular media, pointing out the success of Numberphile as evidence of an unsatiated appetite for mathematical knowledge. Grant's enthusiasm for math and his ability to communicate complex concepts shines through, leaving viewers with a sense that math is exciting and worth exploring further.

Summary & Key Takeaways

  • Grant Sanderson reviews a series of math memes and shares his thoughts on each one.

  • He discusses topics such as dividing by zero, projective geometry, machine learning, and diversity in numbers.

  • Sanderson also talks about the challenges of studying math and the potential for a popular math show.

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