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A problem statement is a description of an issue to be addressed, or a condition to be improved upon. It identifies the gap between the current problem and goal. The first condition of solving a problem is understanding the problem, which can be done by way of a problem statement. [1]
A counterfactual statement is a conditional statement with a false antecedent. For example, the statement "If Joseph Swan had not invented the modern incandescent light bulb, then someone else would have invented it anyway" is a counterfactual, because, in fact, Joseph Swan invented the modern incandescent light bulb. The most immediate task ...
The problem of planning air travel from one destination to another, when fares are taken into account. [14] In the ray tracing problem for a 3-dimensional system of reflective or refractive objects, determining if a ray beginning at a given position and direction eventually reaches a certain point. [15]
Preface paradox: The author of a book may be justified in believing that all their statements in the book are correct, at the same time believing that at least one of them is incorrect. Problem of evil: (Epicurean paradox) The existence of evil seems to be incompatible with the existence of an omnipotent, omniscient, and morally perfect God.
Hume discusses the problem in book III, part I, section I of his book, A Treatise of Human Nature (1739): In every system of morality, which I have hitherto met with, I have always remarked, that the author proceeds for some time in the ordinary way of reasoning, and establishes the being of a God, or makes observations concerning human affairs; when of a sudden I am surprised to find, that ...
Those inputs can be numbers (for example, the decision problem "is the input a prime number?") or values of some other kind, such as strings of a formal language. The formal representation of a decision problem is a subset of the natural numbers. For decision problems on natural numbers, the set consists of those numbers that the decision ...
For example, one might argue that it is valid to use inductive inference in the future because this type of reasoning has yielded accurate results in the past. However, this argument relies on an inductive premise itself—that past observations of induction being valid will mean that future observations of induction will also be valid.
The problem of evil is generally formulated in two forms: the logical problem of evil and the evidential problem of evil. The logical form of the argument tries to show a logical impossibility in the coexistence of a god and evil, [ 2 ] [ 9 ] while the evidential form tries to show that given the evil in the world, it is improbable that there ...