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> think through stuff Perhaps you are simply talking past each other? If "think through stuff" involved coming up with your own questions about the material an
by johncolanduoni 10y ago
> think through stuff
Perhaps you are simply talking past each other? If "think through stuff" involved coming up with your own questions about the material and answering them, this would fall under what many mathematicians would call "exercise". In fact, I've found the belief that this is often more valuable than in-book excercises to be pretty pervasive in mathematics.
- jsprogrammer 10y agoI think the original proposition is just a tautology. What does it mean to "know" something? I think it is equivalent to being able to complete an "exercise". The fallacy here is thinking that the exercises in a book are special and must be completed and/or that you must have completed one before you could complete another outside the book.