Yes, or there can be.
An unanswered question may have a simple, clear, factual answer. You just don't know what it is yet. Ask Google, or Alexa, or your spouse, or Wikipedia. Read a book, or take a class for the more complicated ones.
A mystery implies that either there is no way to know (what happens after death, for example,) or the facts are not currently available (a murder investigation, for example.)
VERY ambiguous. What sort of “mystery” are we talking about?
Crimes are mysteries. They are mostly solved by government, in the form of law enforcement.
Determining where you left your keys is a mystery. It is most often solved by the person interested or someone helping them.
Science is FULL of “mysteries.” They are solved by a mix of all of the entities mentioned. Government agencies, like NASA, might uncover the solution to a mystery. A cure for a disease might be found by a private corporation. It might also be found by a researcher at a university, which may involve funding from private sources, corporations or the government and any mix of those.
Oh, I think we can safely say some mysteries are more worth solving than others.
For example, I think the mystery of what happened to the mother of two who disappeared from her car two weeks ago is probably more worth solving than the mystery of what happened to your other SpongeBob Squarepants sock.
Objectively or absolutely? No.
Individuals derive different levels of utility from different things.
On an individual basis, however, sure. I (largely) know which things I value highly in my own life, and thus it would make sense to solve a mystery which would bring me more value than would that would bring me less.
For example, suppose two people were to mysteriously lose their phones. One of them happened to be my close friend Danno, and the other happened to be someone from Dallas, Texas I’ve no relationship to. To me, solving Danno’s missing phone mystery would be worth more. To someone close to the other person, I imagine the opposite would be the case.
Another important aspect is to understand that different mysteries have inherently different likelihoods/probabilities of being solved. So, when deciding to determine which mystery to attempt to solve, it’s important to try and maximize your expected utility.
Answer:
The features that might make one mystery more fascinating that another are: Predictability; Resolution; Clues available; Surprise; Novelty and Details.
Explanation:
What makes a mystery fascinating is the inability to explain some facts and events in rational way or how they challenge the explanations we have of how the world works with a scientific explanation or logic reasoning.
But the features that makes one mystery more fascinating then another includes how predictable is the story; if there was a resolution; which clues and details were known about the mystery; the level of surprise and novelty in the case. With all this features one mystery still might be very difficult for human understanding making it really fascinating.
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The lunatic called Ken bullied and terrorized his hometown for years and kept getting away with from attacks and arson to shooting people and more (usually by threatening victims who tried to press charges). His child stole candy from a store and then the store clerk and Ken got into an altercation. After Ken shot and wounded the clerk an worked to make the man's life hell afterwards. He ended up getting arrested and was charged with attempted murder.
Shortly after he ended up on bail and was freed. One day the townspeople met at the Legion Hall in the center of town with the sheriff discuss how to protect themselves. During the meeting, McElroy arrived at the town tavern with his wife, Trena. As he sat drinking at the bar, word got back to the men at the meeting that he was in town. The sheriff instructed the group not to get into a direct confrontation with McElroy, but instead seriously consider forming a neighborhood watch program. Estes then drove out of town in his police cruiser. The citizens decided to go to the tavern as a group. The bar soon filled completely. After McElroy finished his drinks, he purchased a six pack of beer, left the bar, and entered his pickup truck. Someone shot at McElroy while he was sitting in his truck. He was shot at several times and hit twice, once by a centerfire rifle and once by a .22 rimfire rifle. In all, there were 46 potential witnesses to the shooting, including Trena McElroy, who was in the truck with her husband when he was shot. No one called for an ambulance. Only Trena claimed to identify a gunman; every other witness either was unable to name an assailant or claimed not to have seen who fired the fatal shots. The DA declined to press charges. An extensive Federal investigation did not lead to any charges.
Whoever did it shouldn't see the inside of a cell considering McElroy's heinous actions.