A problem, which can be caused for different reasons, and, if solvable, can usually be solved in a number of different ways, is defined in a number of different ways. This is determined by the context in which a said problem or problems is defined. When discussed, a problem can be argued in multiple ways. Generally speaking, there are two positions to take, the polemic or the defensive. An example of this is the mother who has a problem with how her daughter is going out, dressed in a particular fashion. She may tell her daughter, there is no way she is leaving the house looking like that. In this example, the mother would be on the polemic side, and the daughter, who presumably would like to go out dressed however she pleases, would be on the defensive side.
A historical problem is that which is debated through the organization and analysis of extant artifacts (the fossil record) and texts. An example of a textual historical problem concerns Socrates, who, the problem raised by Crito is, why won't you escape prison?
A mathematical problem is a question regarding objects and structures that may require a distinct answer, explanation, or proof. Examples include mathematical exercises and word problems at the school level, or, for meteorologists and geographers, shading a map with only four colours. Further types of problems An example of this type of problem is the construction of a pen in which to keep said number of sheep. How much material is needed to build the pen, with perhaps maximization of area or minimization of cost in mind.
In society, a problem can refer to particular social issues, which, if solved, yield social benefits, such as increased class harmony or industry productivity. Many would like to see an end to all social problems, but because of the existence of a certain type of problem in the world, known as a wicked problem, that may unfortunately never occur.
In business and engineering, a problem is often defined as a difference between actual conditions and those that are required or desired. Consider the case of the asset manager who aims to reallocate cyber capital to best serve the needs of the client. Sometimes, the causes of a problem here are not known, in which case root cause analysis is employed to find the causes and identify corrective actions.
In chess, a problem is a puzzle set by somebody using chess pieces on a chess board, often for others to get instruction or intellectual satisfaction from determining the solution.
In theology, there is what is referred to as the Synoptic Problem, regarding the Gospels' relationship to each other. One may dispute the existence or influence of a particular prophet, for instance.
In academic discourse a problem is a challenge to an assumption, i.e., an apparent conflict that requires synthesis and reconciliation. It's a normal part of systematic thinking, the address of which adds to or detracts from the veracity of a conclusion or idea. Problematization is employed to fix these kinds of problems.
An optimization problem is finding the best solution from all feasible solutions. A good example of this type of problem is the travelling salesperson problem, which is based on calculating the most efficient route between many places. Another good example of this type of problem is how to optimize and tune the electronic telescope arrays in Arizona so as to maintain connectivity with Voyager satellites as they begin to leave the solar system.
In computability theory a decision problem requires a simple yes-or-no answer. Computer problems run from the high-end, user-interface and hardware-software problems encountered on a daily basis by users, or the low-end, language-level problems encountered on a daily basis and constantly tended to by programmers (consider an if-then loop that has an if but no then ).
In rock climbing, a problem is a series of rocks that forces the climber to climb. For more challenging courses, a climber would seek out those rock climbing walls that require a longer reach or, perhaps, even a lunge.
In reading, a problem is a combination of a series of words with the overall plotline, which the reader must attempt to decipher. An example of this type of problem is the Flateyjarbók, which was a complicated story for readers to translate in the modern day.
In walking, a mobility problem is presented. Motion is achieved via mechanical interaction of the legs and a surface. Programmers of robotics are interested in solving the problems of walking by designing their creations to be perfectly symmetrical, both in construction and in movement.
In Wikipedia, to insert a notable source to problem is a problem.