Thanks is considered a plural noun, however used to denote one expression of gratitude. There is a transition in the history from the obsolete singular form to the current plural form.
In OED, the latest examples of the singular form is from the end of the thirteenth century and the earliest examples of the plural form is from the beginning of fourteenth century.
The latest example of the singular form is from the Haveloc the Dane, the second oldest surviving romance written in English. (1300, composition date):
Þus wolde þe theues me haue reft, But godþank, he hauenet sure keft.
†Gode þank, God-thank [= Latin Deo gratias, French grâce à Dieu] , thanks (be) to God, thank God.
There are also earlier usages like:
- Is this the thanke which you returne to God? (1642, D. Rogers, Naaman)
- He will thank you woman. M. M. I will none of his thanke. (a1556, N. Udall, Ralph Roister Doister)
The earliest example of the plural form is from the Ayenbite of Inwyt (a confessional prose work written in a Kentish dialect of Middle English, translation of the French Somme le Roi, 1340):
Me..him ne yeldeþ þonkes of his guodes, þet he ous heþ ydo.
OED also mentions that it was formerly sometimes construed as singular and we see an example from 1481, The History of Reynard the Fox (William Caxton's English translation):
All hath he but lytyl thanke.
According to OED, the current plural noun form first appears in Shakespeare's Titus Andronicus in 1594:
Thanks to men Of Noble minds, is honourable meede.
Another plural form appears in Shakespeare's Romeo & Juliet in 1599:
Else is his thankes too much.
Shakespeare might have an influence on the usage of the current plural form and the expression might have been used in that form till today. (there was a slightly different form thankes also as mentioned before).
On the other hand, there is also the usage a thank where thank is used in singular noun form. OED mentions that it is rare but not obsolete. It might be used mainly in literature and there is an example as late as 1849, from H. W. Longfellow's Black Knight:
The children drank, Gave many a courteous thank.
Finally, OED puts the following note below the obsolete sense of thank "Kindly thought or feeling entertained towards any one for favour or services received; grateful thought, gratitude. Rarely in pl."):
The sense of ‘gratitude, kindly or loving feeling for favour or benefit’ must have been developed between that of ‘good will, good feeling’ generally, and that of ‘the expression of gratitude’. But the feeling passes so naturally into its expression that it is not easy to separate them in the quotations, except by the accompanying verbs: to express one's thanks, and the archaic to con thanks, ought to mean to express one's feelings of gratitude; but to give, offer, return or receive thanks, ought to mean to give or receive the expression of gratitude; so to have thanks, but this is less clear. In many instances it is impossible to say which is meant...
You use an article beforehand if it's being used to mean a specific incident that's accurate.
Example:
The accuracies and the inaccuracies were tallied.
You don't use an article beforehand if it's being used to mean the concept of being accurate, not a thing that's accurate.
Example:
Accuracy is important here because mistakes can't be fixed.
Best Answer
Yes, the noun phrase leave of absence is countable, with the plural being leaves of absence. This is confirmed by the following dictionary example, despite the entry marking the head noun leave as a mass noun.
Suppose one goes on leave for medical reasons, and upon the period's expiry takes personal leave, they are on leave (non-count) for the whole duration. They aren't on (*) two leaves. Likewise, if another person takes some time off as well, we still say that the two people are on leave (still non-count). It's non-count because it refers to a state of their employment. There is no change to the state even if multiple episodes are ganged together.
Since on leave refers to state, it doesn't become plural even when talking about separate, non-consecutive episodes. One says that someone has been on leave twice, not that they have been on (*) two leaves.
However, a leave of absence is understood as a defined episode:
Because these episodes can be counted, the term leave of absence is treated as countable.
(*) The asterisk is a convention that ELU uses to flag instances of non-grammatical usage.