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That's the wrong interpretation. In math, a 'trivial' or 'clearly' is supposed to indicate that a certain detail is important to understanding the subject. And
by brational 12y ago
That's the wrong interpretation. In math, a 'trivial' or 'clearly' is supposed to indicate that a certain detail is important to understanding the subject. And if it isn't clear or trivial then the reader is expected to delve deeper before moving on.
The "big problem" is that math is taught in a restricted time scale - a semester, just like all other standard courses. In reality it might take someone many weeks or months to pick up a certain piece of measure theory or hilbert spaces. Math builds upon itself and when it is rushed there is a lack of connection and then ultimately failure to understand.
This is why MOOCs are a great boon for many, as they allow more freedom to self-dictate the pace.
- skybrian 12y agoIf that's what it really means then a perfectly good way to say it is: "To test your understanding, make sure you can do this exercise before continuing." I suspect many mathematicians like being intimidating.