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The word problem comes from the Greek problema, meaning, originally, “a shield, bulwark or a hurdle, or an impediment.” Although there is a range of meanings in present-day usage of the word, it retains the sense of an impediment, a blockage, an unresolved dilemma, or something that stands in the way of moving forward. Problems come in various forms, depending on what it is that constitutes the hurdle or impediment. Among these, for example, are practical problems, ethical problems, political problems, and intellectual problems.

Intellectual problems are characterized by curiosity or puzzlement, and it is the effort to solve such problems that drives scientific research, including case study research. To be sure, it is usually some other kind of blockage standing in the way of human action, such as a practical, ethical, or political problem that ultimately motivates research; however, it is only when curiosity arises as to why the blockage exists, or how it might be removed, that research begins. Thus, problem formulation is the act of identifying an unresolved dilemma for further study and lays the foundation for ensuing research.

Conceptual Overview and Discussion

Intellectual Problems

It is intellectual problems that give rise to and drive scientific research. Intellectual problems are different from other types of problems in that they arise within the human mind or within human knowledge. They arise in the attempts of human beings to make sense of reality. Intellectual problems are characterized by the curiosity or puzzlement they cause. They arise when we discover, as Karl Popper puts it, that something is not in order with what we think we know, or, viewed logically, it is when we discover an apparent contradiction between our supposed knowledge and the supposed facts. Intellectual problems are solved by explanations that remove the contradiction that gave rise to inquiry. In this way, they satisfy the curiosity that drove the researcher to seek an explanation.

There is a long tradition going back at least to Aristotle according to which intellectual problems are understood to be questions. The word problem is still widely used in this sense. However, as Jagdish N. Hattiangadi notes, the existence of idle (i.e., unproblematic) questions is generally recognized. This gives rise to the question of what it is that distinguishes problematic from unproblematic questions. The word topic is also widely used as a synonym for problem yet, as with idle questions, there are boring (i.e., unproblematic) topics. It is the discovery of an inner contradiction that creates problems for knowledge.

Ethical Problems

Ethical problems exist only for human beings and only because they, at least most of them, have a sense of right and wrong, that is, a conscience. Ethical problems would not exist for someone without a conscience; they arise when a person is torn between values. One may be torn because one wants to do something—say, for pleasure—while believing it to be wrong. One may have to choose between evils. For example, one may believe it is wrong to tell a lie and that it is also wrong to allow someone to die if one can prevent it, yet one may find oneself in a situation in which it is only by lying that one can save a person's life.

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