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LINGUISTIX&LOGIK, Tony Marmo's blog
Thursday, 16 February 2006

Topic: HUMAN SEMANTICS

A PUZZLE ABOUT MODALITY


One of the curious properties of the Modal Semantics of Human Languages is that they do have a T principle and a Necessitation rule, and even Aristotle’s law, but lack banalisation or collapse.
The T principle may be stated as follows:
T A⊃ A

In Logic the Necessitation Rule requires that if A is a thesis of a certain modal system S, then A is also a thesis of the S. In the study of Natural Languages one may, for instance, think of a variation of Necessitation by simply saying that if a string or sentence that expresses a proposition is a sentence of a language, then the sentence that expresses that the same proposition is necessary must also be a sentence of the same language. But that would be a very basic and elementary principle of natural language.
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Posted by Tony Marmo at 16:45 GMT

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