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A Hilbert space $H$ is a real or complex vector space endowed with an inner product such that $H$ is a complete metric space when endowed with the norm induced by this inner product.

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Are dagger categories truly evil?

I will have another go at arguing that dagger-categories are not evil. Let’s look at a simpler case first. Consider the property “$1 \in X$” on sets. As a property of abstract sets, this is evil: i …
Peter LeFanu Lumsdaine's user avatar