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- $n$-hour rule $(n\geq 2)$: Change the subject at least every $n$ hours or you'll be depressed. So basically, DJ your subjects.
- Understanding just means getting used to. - Copper.hat
- The best thing you can do in any circumstance is to be focused and do your best in what you're doing right now.
- There's a thin line between braveness and folly.
- Life is full of belief. You won't be 100% sure of anything. It's a leap of faith.
- If I only knew then what I know now.
- Look at the map whenever feel you're lost.
- At first it's weird, unacceptable, and doesn't make sense. But after a while, you'll start to accept that nonsense and even more after a while, it's quite obvious.
- If you want something you’ve never had, you have to do something you've never done.
- I believe that the idea or a source of mathematical concepts or theorems is simple (even if it's actually not).
- So, reading anything related to math requires mind reading. Even though you're looking at some cumbersome equations, formulas, or nonsensical pictures or notations, what you really doing is reading or decoding what the author really has in mind.
- On proof and progress in mathematics
- What's a mathematician to do?
- How Math Works
- Try not to be a narcissist. For example, don't expect you to understand a new concept at once without much trouble.
- "Always have three problems that you're working on - an easy one, usually an exercise to master a recently learned concept, a moderately difficult one, maybe a generalization of some recent result of someone else, and a very hard one, perhaps a well-known conjecture. When you're stuck on one problem, move to the next." - Saharon Shelah.
- "I think it's rarely about what you actually learn in class... it's mostly about things that you stay motivated to go and continue to do on your own." - Maryam Mirzakhani
- Do not fear to be eccentric in opinion, for every opinion now accepted was once eccentric. - Bertrand Russell
- The goal of the "rushed" class was not to make you a master, but to give you enough knowledge to know where to Google for the things you really need. - Xander Henderson
- We don't get to choose our time. - Ancient one
- Governing dynamics - J. Nash in Beautiful mind
- Grit your teeth and look straight ahead, Even if you stop and crouch down, time won’t wait for you or snuggle you and grieve along with you. – Kyojuro Rengoku
- Difference between amateurs and professionals - Jeremy:
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