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Following Anselm, we might say that, since you understand the expression "smallest really existent Martian", there is, in your understanding, at least one smallest really existent Martian.
(Or, apparently following Descartes, one might say that real existence is "part of"—or "contained in"—the idea of a smallest really existent Martian).
In other words, we must be able to have the concept of, or entertain the idea of, a smallest really existing Martian without believing that there really are any smallest Martians.
For example, given that you possess the concept of, or entertain the idea of, a smallest really existent Martian, it follows that you must recognise some kind of connection between the properties of being a Martian, really existing, and being smaller than other really existing Martians, and the concept or idea in question.
Indeed, more strongly, we must be able to entertain the concept of a smallest really existent Martian and to recognise that the property of "really existing" is part of this concept while nonetheless maintaining that there are no smallest existent Martians.
Similar(53)
Maybe small really is beautiful.
The island is small, really small.
It seems counterintuitive, but small really is beautiful.
Not too heavy, not too small, really quite practical.
Not that the 52-year-old Ms. Small really succeeded.
Wise words: in these difficult financial times, small really might be beautiful.
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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