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## Main Question or Discussion Point

I'm not exactly sure if this is the right place to post this, but assuming it is, what is the meaning of 'canonical'?

Someone told me that roughly speaking, it means "given from God" or something like that, when I look up wikipedia it says "standard" etc, I read from books that it means "without basis", but in some occasions I hear two vector spaces are canonical, i.e. vector space V and it's double dual.

So this term seems to have a wide variety of use which I'm not happy with since mathematics should be using precise definitions.

Someone told me that roughly speaking, it means "given from God" or something like that, when I look up wikipedia it says "standard" etc, I read from books that it means "without basis", but in some occasions I hear two vector spaces are canonical, i.e. vector space V and it's double dual.

So this term seems to have a wide variety of use which I'm not happy with since mathematics should be using precise definitions.