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Comparison thinking: comes up with solutions based on pre-existing ideas. It is the way we normally think but it also limits the solutions to possible permutations of what already exists.
First principles thinking: starts free of preconceptions by studying the fundamentals of something and then working your way to a new thing. This helps you understand complex problems.
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"I tend to approach things from a physics framework. And physics teaches you to reason from first principles rather than by analogy. So I said, OK, let’s look at the first principles. What is a rocket made of? Aerospace-grade aluminum alloys, plus some titanium, copper, and carbon fiber...
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