Your English writing platform
Discover LudwigExact(3)
Proponents of "free logic" prefer to challenge the existential presupposition of singular terms (Lambert 2003, 124).
The scale ⟨and,or⟩ would do equally well, just as ⟨all,most,some⟩, if the quantifiers 'all' and 'most' give rise to an existential presupposition.
So, for example, the sentence "The present king of Canada was born in Vienna" has the existential presupposition that there is a present king of Canada.
Similar(57)
The so-called free logics are simply first-order (or modal) logics without existential presuppositions.
In the usual formulations of first-order logic, for instance, there are "existential presuppositions" present to the effect that none of the singular terms employed is without a bearer (as "Pegasus" is).
It is indeed the great virtue for Anderson of his version of traditional logic that it fully brings out the existential presuppositions of the proposition.
And, even when translated into a formal language, such as the language of first-order predicate logic, different ontological standpoints may disagree as to the existential presuppositions of the theory.
Because Quine has a single, all-purpose logico-linguistic framework austere first-order predicate logic within which all theories are couched for purposes of examining their ontological commitments, theories with differing existential presuppositions genuinely conflict; a philosopher must choose which theory to accept.
Eventuality increases in dynamic existentials, in which the existential meaning fades into presupposition, and dynamicity rises into assertion.
It would be more perspicuous to speak simply of the existential implications, or ontological presuppositions, of a theory.
(Note that the phrase "any given object" is used to convey existential commitment — that is, the presupposition that there are objects.
Write better and faster with AI suggestions while staying true to your unique style.
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