Can a language have indenumerably many expressions?

History and Philosophy of Logic 4 (1-2):73-82 (1983)
A common assumption among philosophers is that every language has at most denumerably many expressions. This assumption plays a prominent role in many philosophical arguments. Recently formal systems with indenumerably many elements have been developed. These systems are similar to the more familiar denumerable first-order languages. This similarity makes it appear that the assumption is false. We argue that the assumption is true
Keywords denumerably many expressions  indenumerably many expressions
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DOI 10.1080/01445348308837046
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