Accidents, disasters, diseases and deformities** are** instances of non-Design. They are unintended coincidences which are inevitable in any immensely complex system. In a word they are dysteleological, i.e. negative, irrational, harmful, destructive, valueless, purposeless and meaningless.
These things are only apparant. There is no such thing as chance or coincidence except to a limited perspective. What appears chance or coincidence to us is not according to God who governs all things according to his Providence.
" By his providence God protects and governs all things which he has made, “reaching mightily from one end of the earth to the other, and ordering all things well”. For “all are open and laid bare to his eyes”, even those things which are yet to come into existence through the free action of creatures. " ( CCC, par 302, Vatican 1, Dei Filius 1: DS 3003 )
This is covered in detail in ST. Thomas’ Summa Theologica, Part 1,ques 22, Sed Contra , Reply, and ans 1- 5.
newadvent.org/summa/1022.htm#article2
Thomas points out that some things, things we consider bad or evil, may seem fortuitous such as accidents or crimes, but are still under the guidance of God’s Providential Plan for all his creation. It is too long to quote here but a brief taste can be seen here:
We must say, however, that all things are subject to divine providence, not only in general, but even in their own individual selves. This is made evident thus. For since every agent acts for an end, the ordering of effects towards that end extends as far as the causality of the first agent extends. Whence it happens that in the effects of an agent something takes place which has no reference towards the end, because the effect comes from a cause other than, and outside the intention of the agent. But the causality of God, Who is the first agent, extends to all being, not only as to constituent principles of species, but also as to the individualizing principles; not only of things incorruptible, but also of things corruptible. Hence all things that exist in whatsoever manner are necessarily directed by God towards some end; as the Apostle says: “Those things that are of God are well ordered [Vulg.‘Those powers that are, are ordained of God’: ‘Quae autem sunt, a Deo ordinatae sunt.’ St. Thomas often quotes this passage, and invariably reads: ‘Quae a Deo sunt, ordinata sunt.’]” (Romans 13:1). Since, therefore, as the providence of God is nothing less than the type of the order of things towards an end, as we have said; it necessarily follows that all things, inasmuch as they participate in existence, must likewise be subject to divine providence. It has also been shown (14, 6, 11) that God knows all things, both universal and particular. And since His knowledge may be compared to the things themselves, as the knowledge of art to the objects of art, all things must of necessity come under His ordering; as all things wrought by art are subject to the ordering of that art.
Reply to Objection 1. There is a difference between universal and particular causes. A thing can escape the order of a particular cause; but not the order of a universal cause. For nothing escapes the order of a particular cause, except through the intervention and hindrance of some other particular cause; as, for instance, wood may be prevented from burning, by the action of water. Since then, all particular causes are included under the universal cause, it could not be that any effect should take place outside the range of that universal cause. So far then as an effect escapes the order of a particular cause, it is said to be casual or fortuitous in respect to that cause; but if we regard the universal cause, outside whose range no effect can happen, it is said to be foreseen. Thus, for instance, the meeting of two servants, although to them it appears a chance circumstance, has been fully foreseen by their master, who has purposely sent to meet at the one place, in such a way that the one knows not about the other.
Linus2nd