in article <firstname.lastname@example.org>, tim mellor <email@example.com> wrote:
|firstname.lastname@example.org (James Dolan) wrote in message |news:<email@example.com>... |> in article <firstname.lastname@example.org>, |> daniel grubb <email@example.com> wrote: |> |> |>|>Memorize? I can't remember ever memorizing anything. Better just to |> |>|>practice until you understand. Discuss, ask questions, apply. That way |> |>|>you memorize, of course, but that's just a side-effect. |> |>| |> |>|No, for proof classes, which linear algebra is in many places, |> |>|it is crucial to *memorize* the definitions. |> |> |>nonsense. |> | |> |I'm afraid not. |> |> in that case you ought to have at least tried to give some reason to |> support your opinion. | |Here's one.
no. your "reason" is essentially just that some total moron might threaten to punish you unless you memorize the definitions. you could as easily use such a "reason" to justify any arbitrarily stupid behavior.
|The first question in the exam is likely to be something |like the following: | |1. Give the definition of a vector space. | |Or perhaps | |2. Let X be .... |Prove that X is a vector space. | |(How is this done? By checking all the conditions that appear in the |definition of "vector space", so again one needs to be able to write |this down.)