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Grant Sanderson (3Blue1Brown) - Past, Present, & Future of Mathematics
Dwarkesh Podcast
The Impact of Number Systems on Thinking and Understanding
The use of a system for numbers can change the way we think and lead to a better understanding of the world, enabling commerce and thinking in terms of orders of magnitude. Fluency with a programming interface can aid in understanding certain problems, as playing with a good tool set can feel like adopting a nice notation, which allows for discovering implications through a small number of symbols. This is exemplified in algebra with its constrained rules and the game-like process of reduction and expansion and in programming where the machine crunches data to reveal extra insights through visual plots.
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