If -s/es can be added to a noun (to form a plural noun), then we understand that it's a countable noun.
Is the noun availabilities the plural form of the noun availability?
If it's not so, then how come the noun availability is an uncountable noun?
If -s/es can be added to a noun (to form a plural noun), then we understand that it's a countable noun.
Is the noun availabilities the plural form of the noun availability?
If it's not so, then how come the noun availability is an uncountable noun?
According to the Cambridge Dictionary, availability is uncountable. That's not the end of the story, though: according to this NGram, usage of availabilities is not unusual, although mainly in technical writing. Here is an example:
Past feeding ecology studies of shorebirds primarily focused on food selection patterns and availabilities from single stopover sites. Ecology and management of migrant shorebirds in the playas
The sentence talks about assessment of food availability at several sites. He chooses to refer to the assessment for each site as an availability, and there is one for each site so there are several availabilities. This writer (and many others) think that availability is countable.
The countable/uncountable entry in a dictionary can be a useful guide, but if it says uncountable and you really need a plural, go ahead and make a plural.
In general communication, availability is usually uncountable. If I want to know, when someone is available next week, I will ask about their availability - not their availabilities. That's true even if I receive multiple options (availabilities) as the answer (e.g. Monday and Wednesday).
However, it is sometimes crucial to make a clear distinction between all possible options (availabilities) and a single option (availability). JavaLatte already pointed out scientific writing as one such area. Another example can be software system specifications. In such contexts, some authors choose to use uncountable words in plural to draw reader's attention to the difference between one element and the whole collection.
See also a similar question for states/statuses.
I could put both words into sentences, each showing that they are or are not countable:
The first is a generic word covering a time period. It's uncountable, since it's general.
The second is specific: they can enumerate each and every one of the "availabilities", thus count them.
I believe that the countable v/s non-countable debate poses a great example of a word that necessitates the usage of modifiers and or parallel structure within the complete sentence and or communicated message in order for it to be properly used. Thus, both the plural as well as the non-countable definition are proper and their formative usage are categorically different when considering the complete sentence structure.