On 5/8/2017 10:40 AM, Jon Awbrey wrote:
The question then is whether we keep or lose information in passing
from a triadic relation to the collection of its dyadic projections.

Linguists use the term 'obligatory'.  For example:

Obligatory:  "Mary gave Bill a camera."
Optional:  "Mary saw Bill with a camera at the party."

In the first sentence 'gave' has three obligatory participants.
If you omit one, its absence can be noticed or inferred:
"Everyone gave Bill a present for his birthday. Mary gave a camera."

In the second sentence, 'saw' has an obligatory object,
but "with a camera" and "at the party" are optional adjuncts.

John


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