We may be assured that divine providence focuses on what is infinite and eternal in everything it does by the fact that everything that has been created by a First Being who is infinite and eternal goes to its limits, and then from those limits goes back to the First Being who is its source (see the section of Divine Love and Wisdom that deals with the creation of the universe). Further, since the First, the source, is present at the heart of every sequence, it follows that the emanating divinity or divine providence focuses on some image of what is infinite and eternal in everything it does so in all cases, though in some instances it is clearly noticeable and in others it is not.
Divinity shows us this image clearly in the variety of everything and in the way everything bears fruit and multiplies.
We can see an image of what is infinite and eternal in the variety of everything in the fact that nothing is exactly like anything else and nothing can be to eternity. We can see in the faces of all the people there have been since the beginning of creation, and from their characters as well, which are reflected in their faces. We can see it from their feelings, perceptions, and thoughts, too, since these are elements of their character. This is why there are no two identical angels or spirits in all of heaven and never will be to eternity. It is the same for everything we can see in both worlds, the physical and the spiritual. This shows that the variety is ininfinite and eternal.
There is evidence of an image of what is infinite and eternal in the way everything bears fruit and multiplies in the [reproductive] ability of seeds in the plant kingdom and in the process of reproduction in the animal kingdom, especially in the genus of fish. If they were to be fruitful and multiply to the full extent of their ability, they would fill all the space in the world, even in the universe, within a century. We can see from this that within this ability there lies an impulse to reproduce to infinity. Then too, since this fruitfulness and multiplication have not failed since the beginning of creation and will never fail, not to eternity, it follows that there is also within this ability an impulse to reproduce to eternity.
from Divine Providence, Section 56