If you adjudicate a competition or dispute, you officially decide who is right or what should be done concerning any difficulties that may arise.

Something that happens unexpectedly and by chance that is not inherent or natural to a given item or situation is adventitious, such as a root appearing in an unusual place on a plant.

If you are bemused, you are puzzled and confused; hence, you are lost or absorbed in puzzling thought.

The adjective blithe indicates that someone does something casually or in a carefree fashion without much concern for the end result; as a result, they are happy and lighthearted.

That which is circumstantial is not an essential or primary part of something; rather, it is merely incidental and perhaps insignificant to the situation at hand.

Cogitating about something is thinking deeply about it for a long time.

When you contemplate something, you either think about it deeply or gaze at it intently.

If you deliberate, you think about or discuss something very carefully, especially before making an important decision.

If you delineate something, such as an idea or situation or border, you describe it in great detail.

Empirical evidence or study is based on real experience or scientific experiments rather than on unproven theories.

When you envisage something, you imagine or consider its future possibility.

Someone who is fastidious cares excessively about small details and wants to keep everything correct, tidy, very clean, and in perfect order.

Someone who is feckless is incompetent and lacks the determination or skill to achieve much of anything at all in life.

When you formulate a plan of action, you carefully work it out or design it in great detail ahead of time.

Something fortuitous happens purely by chance and produces a successful or pleasant result.

When you heed another’s wishes, you are mindful of them and therefore give them your full attention.

An inadvertent action is not done intentionally; rather, it is an accident that happens because someone is not being attentive to their surroundings.

If an idea or thought is incisive, it is expressed in a penetrating and knowledgeable manner that is clear and brief; additionally, it can demonstrate impressive understanding of related ideas or thoughts.

Someone is considered meticulous when they act with careful attention to detail.

If you are oblivious to something that is happening, you do not notice it.

Someone is obtuse when they are slow to understand things; someone can choose to be obtuse when they deliberately do not try to figure things out.

Someone who demonstrates perspicacity notices or understands things very quickly.

Someone who is pertinacious is determined to continue doing something rather than giving up—even when it gets very difficult.

A providential event is a very lucky one because it happens at exactly the right time and often when it is needed most.

To be punctilious is to pay precise attention to detail.

A reverie is a state of pleasant dreamlike thoughts that makes you forget what you are doing and what is happening around you.

If you ruminate on something, you think carefully and deeply about it over a long period of time.

A sagacious person is wise, intelligent, and has the ability to make good practical decisions.

A scrupulous person takes great care to do everything in an extremely honest, conscientious, and fair manner.

Serendipity is the good fortune that some people encounter in finding or making interesting and valuable discoveries purely by luck.

Someone who is ungainly is clumsy or awkward; something ungainly can be difficult to use, primarily because of its size or weight.

Vicissitudes can be unexpected or simply normal changes and variations that happen during the course of people’s lives.