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A decision problem is a yes-or-no question on an infinite set of inputs. It is traditional to define the decision problem as the set of possible inputs together with the set of inputs for which the answer is yes. [1] These inputs can be natural numbers, but can also be values of some other kind, like binary strings or strings over some other ...
In linguistics, a yes–no question, also known as a binary question, a polar question, or a general question, [1] is a question whose expected answer is one of two choices, one that provides an affirmative answer to the question versus one that provides a negative answer to the question.
The "yes"-answers are now composed of consumers who have thrown a 6 and non-consumers who have thrown a different number. Let the result be 75 "yes"-answers out of 100 interviewed (=). Inserted into the formula you get
By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced using logical rules and axioms, so the Entscheidungsproblem can also be viewed as asking for an algorithm to decide whether a given statement is provable using the rules of logic.
They are questions that are often asked to obtain a specific answer and are therefore good for testing knowledge. It is often argued that open-ended questions (i.e. questions that elicit more than a yes/no answers) are preferable because they open up discussion and enquiry. Peter Worley argues that this is a false assumption.
The second sense is used in relation to computability theory and applies not to statements but to decision problems, which are countably infinite sets of questions each requiring a yes or no answer. Such a problem is said to be undecidable if there is no computable function that correctly answers every question in the problem set.
In linguistics, an echo answer or echo response is a way of answering a polar question without using words for yes and no. The verb used in the question is simply echoed in the answer, negated if the answer has a negative truth-value . [ 1 ]
Only the [i] responses are answers in the Cambridge sense. The responses in [ii] avoid committing to a yes or no answer. The responses in [iii] all implicate an answer of no, but are not logically equivalent to no. (For example, in [iiib], the respondent can cancel the implicature by adding a statement like: "Fortunately, she packed everything ...
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