this post was submitted on 04 Sep 2024
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Also actual mathematicians are pretty much universally capable of doing many calculations to reasonable precision in their head, because internalizing the relationships between numbers and various mathematical constructs is necessary to be able to reason about them and use them in more than trivial ways.
Tests for recall aren't because the specific piece of information is the point. They're because being able to retrieve the information is essential to integrate it into scenarios where you can utilize it, just like being able to do math without a calculator is needed to actually apply math in ways that aren't ~~proscribed~~ prescribed for you.
I mean you're right, but also, anybody who is an actual mathematician has no idea how to add 6+17, mostly only being concerned with "why" is 6+17, and the answer is something along the lines of bijective function space.
Source: what did I do to deserve this
Bertrand Russell tried to logically confirm that 2 + 2 is 4. You can check it in Principia Mathematica