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in this English grammar, they give five usages for between:
1. An intermediate location: Toronto lies between Montreal and Vancouver.
2. An intermediate time: between Christmas and New Year's Day
3. Intermediate in a series: B comes between A and C in the alphabet.
4. An intermediate amount: between five and ten people
5. Within a group of two: The money was shared between two people.
That would imply to me, that "between" can not be used to describe a movement, more a location. (Accusativic rather than Ablativic in a Latin sense - says he talking rubbish)
I just felt, it was not quite right, but I know all my English teacher would laugh at me heartily. (I was consistently their worst pupil...)
Usages 2 and 3 are metaphorical motion (but 4 isn't, that's what distinguishes 3 and 4, but I have some doubts about that), as George Lakoff would say. However, you are right, it does not seem to include the endpoints.
It is interesting that one can say 'from A to B' or 'from B to A' but there is no way to indicate going from one point to the other while leaving the direction ambiguous. This is why oriented manifolds are an easier concept to grasp than unoriented ones (and the integers an easier concept to grasp than parity).
I'll stop now.
A society committed to the notion that government is always bad will have bad government. And it doesn't have to be that way. — Paul Krugman
I thought about this for a moment, and was wondering whether any of the following could work:
"go from A towards B" (some ambiguity remains)
"go from A straight to B" (little or no ambiguity?)
"go east from A to B"
With paths it's easier ... "he travelled on the road between A and B" ... though using sequential letters may through you off here (try instead: "he travelled on the road between Paris and Berlin for months")
With surfaces even easier ... "he travelled in Germany" (which to the alert reader is the zone that lies roughly between A and B)
They did some research in Franken and asked people about the direction to the next village and found correlation between the relative age of the villages and the prepositions used to describe the way. So "over there, " the other village was younger, and "back there" the village was older.
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