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Inexistence

Inexistence is the state or condition of not existing; it refers to the absence of being or presence in the actual world. In English, inexistence is a less common form of nonexistence, and both terms express negation of existence, though nonexistence is more widely used in philosophical and analytical writing.

Etymology: Inexistence derives from the prefix in- plus existence, with roots in Latin existentia.

Philosophical use: The term describes things that are said not to have being, such as fictional entities

Logic and language: In predicate logic, negation of existence is expressed as not exists x such that

or
abstract
objects
that
some
theories
deny
as
having
concrete
existence.
In
metaphysics,
discussions
distinguish
between
contingent
existence
(dependent
on
circumstances)
and
necessary
existence
(cannot
be
otherwise).
Some
philosophers
argue
that
inexistence
is
not
a
distinct
property
a
thing
can
possess;
instead,
it
is
the
logical
negation
of
existence
for
that
thing.
The
question
of
whether
nonexistent
objects
truly
exist
in
any
sense
has
implications
for
theories
of
language
and
ontology,
including
nominalism,
realism
about
universals,
and
fictionalism.
P(x),
equivalent
to
for
all
x,
not
P(x).
In
natural
language,
phrases
like
"unicorns
exist"
or
"unicorns
do
not
exist"
reveal
how
inexistence
is
treated
in
discourse;
sometimes
the
sentence
"There
are
no
unicorns"
is
more
natural
than
"Unicorns
do
not
exist."
Fictional
characters
illustrate
that
something
can
be
said
to
exist
semantically
but
not
in
reality.