The second writer [of the diary]says "We of course are taught to understand the vital importance of children". This statement can create the impression that this person belongs to some special family of human beings, different to the rest, perhaps the result of a medical/social research program conducted by the
Dharma Initiative to create some new better society. The fact that he refers to
Henry Gale as "brother" could indicate the fact that they are both members of this family who live on the island. This person's comments about children show that he has no real experience with them, as if he first saw children when the survivors arrived.
This could mean that members of this society on the island cannot reproduce, a problem that
The Others are trying to tackle with their medical experiments on pregnant women, which also explains their general interest on children.