What is an infinite expression?

Philosophia 16 (1):45-60 (1986)
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Abstract

The following syllogism is considered: a string is not an expression unless it is tokenable; no one can utter, write, or in anyway token an infinite string; so no infinite string is an expression. The second premise is rejected. But the tokenability of an infinite sentence is not sufficient for it being an infinite expression. A further condition is that no finite sentence expresses that sentence’s truth-conditions. So it is an open question whether English contains infinite expressions.

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Philip Hugly
University of California, Berkeley (PhD)
Charles Sayward
University of Nebraska, Lincoln

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