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  • There are so many types of shoes. There's so many categories, and I really have no idea what type of shoe I need at any given time. And I go in there - I find it a little bit overwhelming. 'Welcome to the shoe store! What are you looking for? Are you looking for walking shoes?' Well, uh, I'd like to have that option. Hopefully, they're adjustable. I mean, I'd like to be able to turn them up to other settings, as well.

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There are so many types of shoes. There's so many categories, and I really have no idea what type of shoe I need at any given time. And I go in there - I find it a little bit overwhelming. 'Welcome to the shoe store! What are you looking for? Are you looking for walking shoes?' Well, uh, I'd like to have that option. Hopefully, they're adjustable. I mean, I'd like to be able to turn them up to other settings, as well.

I don't want to convince you that mathematics is useful. It is, but utility is not the only criterion for value to humanity. Above all, I want to convince you that mathematics is beautiful, surprising, enjoyable, and interesting. In fact, mathematics is the closest that we humans get to true magic. How else to describe the patterns in our heads that - by some mysterious agency - capture patterns of the universe around us? Mathematics connects ideas that otherwise seem totally unrelated, revealing deep similarities that subsequently show up in nature.

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