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Internal–external distinction

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Through Observation, Question and Imaginary unit

Linguistic framework

Rudolf Carnap introduced the idea of a 'linguistic framework' or a 'form of language' that uses a precise specification of the definitions of and the relations between ontological entities. The discussion of a proposition within a framework can take on a logical or an empirical (that is, factual) aspect. The logical aspect concerns whether the proposition respects the definitions and rules set up in the framework. The empirical aspect concerns the application of the framework in some or another practical situation.

“If someone wishes to speak in his language about a new kind of entities, he has to introduce a system of new ways of speaking, subject to new rules; we shall call this procedure the construction of a linguistic framework for the new entities in question.”

— Rudolf Carnap, "Empiricism, Semantics, and Ontology"

“After the new forms are introduced into the language, it is possible to formulate with their help internal questions and possible answers to them. A question of this kind may be either empirical or logical; accordingly a true answer is either factually true or analytic.”

— Rudolf Carnap, "Empiricism, Semantics, and Ontology"

The utility of a linguistic framework constitutes issues that Carnap calls 'external' or 'pragmatic'.

“To be sure, we have to face at this point an important question; but it is a practical, not a theoretical question; it is the question of whether or not to accept the new linguistic forms. The acceptance cannot be judged as being either true or false because it is not an assertion. It can only be judged as being more or less expedient, fruitful, conducive to the aim for which the language is intended. Judgments of this kind supply the motivation for the decision of accepting or rejecting the kind of entities.”

— Rudolf Carnap, "Empiricism, Semantics, and Ontology"

“the decisive question is not the alleged ontological question of the existence of abstract entities but rather the question whether the rise of abstract linguistic forms or, in technical terms, the use of variables beyond those for things (or phenomenal data), is expedient and fruitful for the purposes for which semantical analyses are made, viz. the analysis, interpretation, clarification, or construction of languages of communication, especially languages of science.”

— Rudolf Carnap, "Empiricism, Semantics, and Ontology"

The distinction between 'internal' and 'external' arguments is not as obvious as it might appear. For example, discussion of the imaginary unit √−1 might be an internal question framed in the language of complex numbers about the correct usage of √−1, or it might be a question about the utility of complex numbers: whether there is any practical advantage in using √−1. Clearly the question of utility is not completely separable from the way a linguistic framework is organized. A more formal statement of the internal-external difference is provided by Myhill:

"A question...is internal relative to [a linguistic framework] T if the asker accepts T at the time of his asking, and is prepared to use T in order to obtain an answer; external otherwise, in particular if the question is part of a chain of reflections and discussions aimed at choosing between T and some rival theory."

— John R Myhill, Review of W. V. Quine: "On Carnap's Views on Ontology"

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