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I've noticed that when trying to understand a math paper, there are a few different ways my skill level can be the blocker. Some of these ways line up with some typical levels of organization in math papers:
Understanding a piece of math will require understanding each of these things in order. It can be very useful to identify which of type of thing I'm stuck on, because the different types can require totally different strategies.
Beyond reading papers, I'm also trying to produce new and useful mathematics. Each of these three levels has another associated skill of generating them. But it seems to me that [...]
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Outline:
(01:29) Understanding
(01:42) Definitions
(03:28) Theorems
(04:55) Proofs
(07:29) Generating
(07:52) Proofs
(08:58) Theorems
(10:08) Definitions
(12:50) Skill improvement
(14:24) Paradigm formation starts at the end
The original text contained 2 footnotes which were omitted from this narration.
The original text contained 1 image which was described by AI.
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First published:
Source:
Narrated by TYPE III AUDIO.
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Images from the article:
Apple Podcasts and Spotify do not show images in the episode description. Try Pocket Casts, or another podcast app.
I've noticed that when trying to understand a math paper, there are a few different ways my skill level can be the blocker. Some of these ways line up with some typical levels of organization in math papers:
Understanding a piece of math will require understanding each of these things in order. It can be very useful to identify which of type of thing I'm stuck on, because the different types can require totally different strategies.
Beyond reading papers, I'm also trying to produce new and useful mathematics. Each of these three levels has another associated skill of generating them. But it seems to me that [...]
---
Outline:
(01:29) Understanding
(01:42) Definitions
(03:28) Theorems
(04:55) Proofs
(07:29) Generating
(07:52) Proofs
(08:58) Theorems
(10:08) Definitions
(12:50) Skill improvement
(14:24) Paradigm formation starts at the end
The original text contained 2 footnotes which were omitted from this narration.
The original text contained 1 image which was described by AI.
---
First published:
Source:
Narrated by TYPE III AUDIO.
---
Images from the article:
Apple Podcasts and Spotify do not show images in the episode description. Try Pocket Casts, or another podcast app.
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