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When studying Euclidian geometry, he rejected what one biographer called the "fictitious objects" that notation required.
In general, fictitious objects are highly incomplete.
It allows us to admit that fictitious objects do not exist but at the same time to acknowledge that there are fictitious objects.
In particular, they provide the basis for a consistent realist ontology of fictitious objects.
By "fictional discourse" we mean here and in what follows discourse about fictitious objects.
According to this position, fictitious objects are just a species of nonexistent objects.
Similar(45)
Sometimes, the term "fictitious object" is used as synonymous with "nonexistent object".
But Pegasus is a fictitious object; and it seems that to call an object fictitious is just to say that it does not exist.
But this object, again, is not a thing, indeed, not any more than any other fictitious object of our minds.
However, what distinguishes the universal concept from a merely fictitious object of our mind is that the former corresponds to a status of really existing singular things, whereas the latter does not have anything corresponding to it.
which occur in fictions, i.e., in myths or fairy tales, in fictional novels, movies, operas etc. Pegasus is a fictitious object in this sense (as are Sherlock Holmes and Hamlet) but Vulcan (the hypothetical planet sought by Le Verrier) is not.
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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