Polish notation en · NOUN
Etymology
After the nationality of the logician Jan Łukasiewicz
Meanings
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(uncountable) A notation for arithmetic (and logical) formulae in which operations (respectively, quantifiers and operands) are written immediately before their operands, used to avoid the need for parentheses; for example, 3 * (4 + 7) is written as * 3 + 4 7 and A AND B is written as AND A B.
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’
2009, Brandon C. Look, “Symbolic Logic II, Lecture 6”, in www.uky.edu/~look, archived from the original on 09 Nov 2011:
Relateds
infix notation · reverse Polish notation · postfix notation
Synonyms
Translations (17)
fi puolalainen notaatio (notation for arithmetic formulae) · cmn 波蘭表示法 /波兰表示法 (notation for arithmetic formulae) · pl notacja Łukasiewicza (notation for arithmetic formulae) · bg полски запис (notation for arithmetic formulae) · ja ポーランド記法 (notation for arithmetic formulae) · pl symbolika beznawiasowa (notation for arithmetic formulae) · de Polnische Notation (notation for arithmetic formulae) · pl notacja prefiksowa (notation for arithmetic formulae) · fr notation polonaise (notation for arithmetic formulae) · pl notacja polska (notation for arithmetic formulae) · cs polská notace (notation for arithmetic formulae) · ro notație poloneză (notation for arithmetic formulae) · pl zapis przedrostkowy (notation for arithmetic formulae) · ru по́льская нота́ция (notation for arithmetic formulae) · pt notação polonesa (notation for arithmetic formulae) · el πολωνικός συμβολισμός (notation for arithmetic formulae) · es notación polaca (notation for arithmetic formulae)