<s>
In	O
logic	O
,	O
the	O
scope	O
of	O
a	O
quantifier	B-Language
or	O
a	O
quantification	B-Language
is	O
the	O
range	O
in	O
the	O
formula	O
where	O
the	O
quantifier	B-Language
"	O
engages	O
in	O
"	O
.	O
</s>
<s>
It	O
is	O
put	O
right	O
after	O
the	O
quantifier	B-Language
,	O
often	O
in	O
parentheses	O
.	O
</s>
<s>
In	O
the	O
formula	O
,	O
for	O
example	O
,	O
(	O
or	O
)	O
is	O
the	O
scope	O
of	O
the	O
quantifier	B-Language
(	O
or	O
)	O
.	O
</s>
<s>
A	O
variable	O
in	O
the	O
formula	O
is	O
free	O
,	O
if	O
and	O
only	O
if	O
it	O
does	O
not	O
occur	O
in	O
the	O
scope	O
of	O
any	O
quantifier	B-Language
for	O
that	O
variable	O
.	O
</s>
<s>
free	O
to	O
substitute	O
that	O
variable	O
that	O
occurs	O
free	O
)	O
,	O
if	O
and	O
only	O
if	O
that	O
variable	O
does	O
not	O
occur	O
free	O
in	O
the	O
scope	O
of	O
any	O
quantifier	B-Language
for	O
any	O
variable	O
in	O
the	O
term	O
.	O
</s>
