My another post uses the expression "complete list".
A meta post uses "full list". So, I guess "full list" is idiomatic.
The question is,
Is "complete list" also idiomatic?
Are those 2 interchangeable in this context?
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Yes, "complete list" is idiomatic. You can check several examples in Cambridge Dictionary:
A complete list is given in the related work section.
I have no idea how many words a complete list would contain.
There may be different contexts in which either a "complete" or "full" list is used more commonly. For example, in medical texts, they much more commonly use "a complete list of symptoms" than "a full list of symptoms."
In other contexts, "full" and "complete" mean different things. "Full" is normally used when speaking about something with a predefined capacity, for example, a jug could be full of liquid, but it does not contain all the liquid in the world.
A "list" does not have a defined capacity - it is either complete, or not. So, in the context of a list, "full" and "complete" are really synonymous. They can only mean the same thing. If a list were to become out of date, it would cease to be a full list, or a complete list.
In terms of the subtle difference between "full" and "complete":
a full list - is a list of all that wasn't omitted (also suggests that there exists or could exist a shortened list). It may be a list where certain elements may yet be removed, changed or added or it could be a general list of all certain elements in existence.
a complete list - is a version of a full list that is committed, for instance as a result of an agreement, decision or resolution. Elements on this list are fixed as the total amount to the day of birth.
For instance we have a full list of participating condidates for a competition that hasn't yet started, we can cut that down to a complete list of competitors that eventually took part in the competition. As a result we get two lists, a full list of candidates who were initially registered for the competition and a complete list of competitors who did actually participate in the competition.
However, this difference is non-obligatory and ignored in many cases, except in business, IT and some others.