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Why Good Teachers Go Bad, with Shinzen Young

Deconstructing Yourself

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The Relationship Between Geometry and Algebra

The homology theory is one of the latest and greatest ways in which geometry and algebra have found a natural relationship. Homology is based on the notion that there's a natural relationship between those relationships. So we're making an analogy here, right? Yes. Just like graphing functions led to something entirely new, unpredictable, something that couldn't have been predicted, calculus and its generalization into analysis was needed.

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