Something I have always thought since working with math textbooks is that it is very opaque to refer to a result like "Theorem 8.2" or "Proposition 1.10". When I took my intro to analysis course, I tried to mentally or explicitly assign every result a name to aid my learning and reinforce the concepts I just learned. Recently I learned that ProofWiki does the same, for example naming the results "Cardinality of Set of Surjections" or "Field is PID", even if the names get a bit cumbersome. Is this a better approach to learning, or is it too cumbersome for results that are not summarized compactly?
2026-02-25 15:42:31.1772034151
Will naming all theorems and results I go over in a textbook aid in learning?
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If it helps you then do it.
You might want to name only the important theorems.
Some important theorems have names - use them.