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Are There Non-Verbalisable Problems?
Abstract
The article argues for an affirmative answer to the title question. The result of the first, analytical parts of it – in which the known results concerning the ambiguity of question sentences, the structure of questions and the notion of a proper answer are used – is to show the necessity of distinguishing question sentences from questions and to justify the thesis that there is a mutually unambiguous correspondence between questions and sets of their proper answers. The argument closes with a reasoning – supported by the ways of representing expressions known from metalogic and by the basic distinctions and theorems of the arithmetic of cardinal numbers – in which the conclusion resolving the title question is proved: non-verbalisable problems not only are, but there are infinitely more of them than problems expressible in any language.
Keywords:
question sentence, question, question structure, proper answer, representing questions with sets of proper answers, non-verbalisable problemsDetails
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.