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The notion of minimality appealed to in (29) is the standard one: A situation is a minimal situation in which a proposition p is true iff it has no proper parts in which p is true.
It is numerically checked that this "minimal" situation indeed occurs.
What would a minimal situation or event look like in which nobody showed up?
But Mud & Moss is not a minimal situation in which 30(b) is true.
But Teapots & Scissors is not a minimal situation in which 31(b) is true.
To see what this means, consider a situation s1 that is a minimal situation in which the antecedent is true.
Similar(48)
The semantics of the conditional involves universal quantification over minimal situations.
If e.g., Sarah owns ten donkeys, there are ten such minimal situations.
If the topic situations are of this kind, they, too, are minimal situations in which two cats caught something.
They are precisely those subsituations of Donkey Parade that are minimal situations in which a donkey appeared.
On this reading, our quantification domain is some set of non-overlapping situations that are minimal situations in which I sold two teapots on the same day.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com