It is not strictly true to say that we understand a proposition
p if we
know that p
is equivalent to “p is true” for this would be the case if
accidentally both were true or false.
What is wanted is the formal equivalence with respect to the forms of
the proposition
,
i.e.,
all the
general indefinables involved.
The sense of an
ab function of a
proposition is a function of its
sense
: there || . There are only
unasserted propositio
ns.
5
Assertion is merely psychological.
If not-p is exactly the same as
if it stands alone || In not-p,
p
is exactly the same as if it stands alone; this point is
absolutely fundamental.
Among the facts which make “p or q”
true there are
also facts which make “p and q” true
; if
propositions
do
only mean we ought to know such a case, || do only mean, we ought, to
know such a case, || have only meaning, we ought, in such a
case, to say that these two propositions are identical, but in
fact, their sense is different for we
have introduced sense by talking of all p's and all q's.
Consequently the molecular propositions will only be used in cases
where their
ab function stands under
a generality sign or enters into another function such as
“I believe that,
etc.,
” because
then the sense
enters.