It’s not surprising that the profound weirdness of the quantum world has inspired some outlandish explanations – nor that these have strayed into the realm of what we might call mysticism.
One particularly pervasive notion is the idea that consciousness can directly influence quantum systems – and so influence reality.
PBS Space Time examines where this idea comes from, and whether quantum theory really supports it.
Lex Fridman interviews Grant Sanderson is a math educator and creator of 3Blue1Brown, a popular YouTube channel that uses programmatically-animated visualizations to explain concepts in linear algebra, calculus, and other fields of mathematics.
OUTLINE:
0:00 – Introduction
1:56 – What kind of math would aliens have?
3:48 – Euler’s identity and the least favorite piece of notation
10:31 – Is math discovered or invented?
14:30 – Difference between physics and math
17:24 – Why is reality compressible into simple equations?
21:44 – Are we living in a simulation?
26:27 – Infinity and abstractions
35:48 – Most beautiful idea in mathematics
41:32 – Favorite video to create
45:04 – Video creation process
50:04 – Euler identity
51:47 – Mortality and meaning
55:16 – How do you know when a video is done?
56:18 – What is the best way to learn math for beginners?
59:17 – Happy moment
Lex Fridman interviews Gilbert Strang on Linear Algebra, Deep Learning, Teaching, and MIT OpenCourseWare.
Gilbert Strang is a professor of mathematics at MIT and perhaps one of the most famous and impactful teachers of math in the world. His MIT OpenCourseWare lectures on linear algebra have been viewed millions of times. This conversation is part of the Artificial Intelligence podcast.
TabletClass has a video to introduce calculus concepts for all math students and make the topic easy to understand.
Whether you realize it or not, lambda calculus has already impacted your world as a data scientist or a developer. If you’ve played around in functional programming languages like Haskell or F#, then you are familiar some of the same ideas. In fact, AWS’s serverless product is named Lambda after this branch of mathematics.
Watch this video to learn about lambda calculus.
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