411 REFERENCE · Wiktionary
Polish notation
Reference material by Wiktionary contributors. This retains its source identity and is not 411 news reporting.
English
Etymology
After the nationality of the logician Jan Łukasiewicz
Noun
* "p or (q and r)" → "or p and q r".
-
en arithmetic logic 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.
en 2009 Brandon C. Look Symbolic Logic II, Lecture 6 www.uky.edu/~look http://www.uky.edu/~look/Phi520-Lecture6.pdf 2012-11-22 https://web.archive.org/web/20111109200751/http://www.uky.edu/~look/Phi520-Lecture6.pdf 9 November 2011 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’
Synonyms
en prefix notation
Translations
notation for arithmetic formulae
Bulgarian: bg полски запис m
Chinese:
Mandarin: cmn 波蘭表示法 Bōlán biǎoshìfǎ
Czech: cs polská notace f
Finnish: fi puolalainen notaatio
French: fr notation polonaise f
German: de Polnische Notation f
Greek: el πολωνικός συμβολισμός m
Japanese: ja ポーランド記法 Pōrando-kihō
Polish: pl notacja polska f, pl zapis przedrostkowy m, pl notacja Łukasiewicza f, pl notacja prefiksowa f, pl symbolika beznawiasowa f
Portuguese: pt notação polonesa
Romanian: ro notație poloneză f
Russian: ru по́льская нота́ция f
Spanish: es notación polaca f
See also
en infix notation
en postfix notation
en reverse Polish notation