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It is not the case that A direct comparison between SDRT defaults and Gricean defaults is not valid because they operate at different levels.
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Reasons Against
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Reason against
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1.
SDRT defaults are formalized with respect to actually occurring discourse structures
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2.
Gricean defaults are defaults for speakers' overall knowledge state
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3.
Comparing SDRT defaults with Gricean defaults would not be comparing like with like
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