Last Updated:2025/12/30
Sentence
In
Polish
Notation,
the
connectives
are
placed
before
the
wffs.
The
virtue
of
this
sentence
is
that
its
grammar
is
simpler,
for
it
has
no
need
for
parentheses.
Sider’s
examples:
(P
∧
Q)
→
R
and
P
∧
(Q
→
R)
become
→
∧PQR
and
∧P
→
QR.
If
you
actually
look
at
a
text
in
this
tradition,
you’ll
find
something
slightly
different.
“C”
stands
for
“consequence”,
i.e.,
implication
(→)
and
“N”
for
negation
(∼).
Quizzes for review
In Polish Notation, the connectives are placed before the wffs. The virtue of this sentence is that its grammar is simpler, for it has no need for parentheses. Sider’s examples: (P ∧ Q) → R and P ∧ (Q → R) become → ∧PQR and ∧P → QR. If you actually look at a text in this tradition, you’ll find something slightly different. “C” stands for “consequence”, i.e., implication (→) and “N” for negation (∼). So,consider the following from Tarski and Łukasiewicz’s Investigations into the Sentential Calculus. The claim there is that there are three axioms: ‘CCpqCCqrCpr’ ‘CCNppp’ ‘CpCNpq’
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