Comments on: From Nothing to Something: Discrete Categories
https://openbookstudy.org/2020/03/29/from-nothing-to-something-discrete-categories/
Private Studies Made Public Mon, 18 May 2020 23:09:06 +0000
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By: Maps to Enlightenment | Open Book Study
https://openbookstudy.org/2020/03/29/from-nothing-to-something-discrete-categories/#comment-12
Mon, 18 May 2020 23:09:06 +0000http://openbookstudy.org/?p=195#comment-12[…] Last time we meditated on sets, which may be the simplest entities in mathematics. We observed that a set can be regarded as a very special kind of category, namely a discrete category, where the only relationship is the trivial one of identity. While it’s enlightening to see how some mathematical objects can be regarded as special cases of the general notion of category (and later we will see other examples: posets, monoids, groupoids), this is not how categories are commonly used in practice. Instead, when we want to learn more about sets, we do that by constructing the category of sets. […]
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By: C. W.
https://openbookstudy.org/2020/03/29/from-nothing-to-something-discrete-categories/#comment-10
Tue, 31 Mar 2020 03:15:43 +0000http://openbookstudy.org/?p=195#comment-10That was intense.
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