We can use the term "cognate object" to refer to what in the last Column I called "true cognate objects". This refers to those objects which must have an adjective before them:
1) I slept a deep sleep.
2) He laughed a loud laugh.
3) He died a sudden death.
Or, they can be followed by a that-clause, etc.:
4) He slept a sleep that was deep.
Therefore the following kind of sentence is incorrect:
4) × I slept a sleep.
But in the case of the "a song" type of object I discussed in the previous Column, we can say either of these:
5) I sang a song. / I sang a short song.
6) I danced a dance. / I danced a romantic dance.
So, to summarize, true cognate objects can only occur with an adjective or that-clause, etc.
Many of the expressions of the adjective + cognate object type are very common collocations, and as such are worth learning by heart. In the next Column, I will give many examples of adjective + cognate object.
be worth -ing：～する価値がある
learn by heart：暗記する