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itselfor

Itselfor is a neologism that has appeared in online discussions of self-reference and discourse analysis. The term blends "itself" and "or" and is used to describe a hypothetical construct that allows an expression to reference itself while offering an alternative option. Because it is not part of any formal standard, definitions vary by author.

In formal terms, itselfor can be described as a binary operator that takes two operands: a self-referential

Example: consider S = "This cheese is aged." and A = "This cheese is not aged." The expression

Usage and interpretation: Itselfor is primarily a theoretical or pedagogical device rather than an implemented operator

See also: self-reference, disjunction, fixed point.

expression
S
and
a
fallback
expression
A.
The
operator
yields
S
when
the
self-reference
is
coherent
and
well-founded;
otherwise
it
yields
A.
Different
proposals
differ
on
how
to
determine
coherence,
ranging
from
syntactic
well-formedness
to
semantic
fixed
points.
Some
formulations
treat
it
as
a
disjunctive
selector
that
resolves
to
either
S
or
A
based
on
a
coherence
check.
itselfor(S,
A)
is
used
to
illustrate
how
a
system
might
prefer
a
self-referential
claim
if
it
can
be
assigned
a
stable
interpretation,
and
otherwise
revert
to
the
fallback.
In
practice,
the
example
highlights
the
challenges
of
self-reference
and
the
role
of
selection
rules
in
disjunctive
constructions.
in
programming
languages.
It
appears
in
discussions
of
logic,
linguistics,
and
philosophy
of
language
to
illustrate
how
self-reference
interacts
with
disjunction,
and
to
aid
thinking
about
coherence
in
self-referential
statements.