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Bits, ink, particles, and words.
Learning a new subject in mathematics is always interesting. You learn new techniques to analyze problems and get to investigate the relationships between objects. Whether you’re learning about probability, algebra, geometry, or any other field, you will do these two things. The idea is to expand your toolbox to apply to various mathematical problems.
Think about the actions that make up your day. It can be a bit terrifying to realize how little of it is conscious. A huge chunk of your daily actions are performed on autopilot. You don’t even think about them at all.
It’s tempting to think that the key to making amazing work is to focus on one thing forever, never deviating from the path. We see examples of this all the time: the athlete that practiced their particular sport for decades, the writer who improves their craft in a very specific area and becomes known for that type of writing, the artist who captures a certain niche of the market and remains with that work, or even the scientist that completes their PhD in a certain domain and never strays too far from it.
If you’re a student, you know that your immediate future is more or less planned out for you. Sure, there’s a little bit of freedom in what you do, but most of your life is already set.