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- Polish_notation abstract "Polish notation, also known as Polish prefix notation or simply prefix notation, is a form of notation for logic, arithmetic, and algebra. Its distinguishing feature is that it places operators to the left of their operands. If the arity of the operators is fixed, the result is a syntax lacking parentheses or other brackets that can still be parsed without ambiguity. The Polish logician Jan Łukasiewicz invented this notation in 1924 in order to simplify sentential logic. The term Polish notation is sometimes taken (as the opposite of infix notation) to also include Polish postfix notation, or Reverse Polish notation, in which the operator is placed after the operands.When Polish notation is used as a syntax for mathematical expressions by interpreters of programming languages, it is readily parsed into abstract syntax trees and can, in fact, define a one-to-one representation for the same. Because of this, Lisp (see below) and related programming languages define their entire syntax in terms of prefix notation (and others use postfix notation).Here is a quotation from a paper by Jan Łukasiewicz, Remarks on Nicod's Axiom and on "Generalizing Deduction", page 180."I came upon the idea of a parenthesis-free notation in 1924. I used that notation for the first time in my article Łukasiewicz(1), p. 610, footnote."The reference cited by Jan Łukasiewicz above is apparently a lithographed report in Polish. The referring paper by Łukasiewicz Remarks on Nicod's Axiom and on "Generalizing Deduction" was reviewed by H. A. Pogorzelski in the Journal of Symbolic Logic in 1965.Alonzo Church mentions this notation in his classic book on mathematical logic as worthy of remark in notational systems even contrasted to Whitehead and Russell's logical notational exposition and work in Principia Mathematica.In Łukasiewicz 1951 book, Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic, he mentions that the principle of his notation was to write the functors before the arguments to avoid brackets and that he had employed his notation in his logical papers since 1929. He then goes on to cite, as an example, a 1930 paper he wrote with Alfred Tarski on the sentential calculus.While no longer used much in logic, Polish notation has since found a place in computer science.".
- Polish_notation thumbnail Prefix-dia.svg?width=300.
- Polish_notation wikiPageExternalLink ambi.
- Polish_notation wikiPageID "25056".
- Polish_notation wikiPageRevisionID "594978631".
- Polish_notation hasPhotoCollection Polish_notation.
- Polish_notation subject Category:Logical_expressions.
- Polish_notation subject Category:Mathematical_notation.
- Polish_notation subject Category:Operators_(programming).
- Polish_notation subject Category:Polish_inventions.
- Polish_notation subject Category:Science_and_technology_in_Poland.
- Polish_notation type Ability105616246.
- Polish_notation type Abstraction100002137.
- Polish_notation type Appearance104673965.
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- Polish_notation type Cognition100023271.
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- Polish_notation type Countenance104679549.
- Polish_notation type Creativity105624700.
- Polish_notation type Expression104679738.
- Polish_notation type Invention105633385.
- Polish_notation type LogicalExpressions.
- Polish_notation type Notation106808493.
- Polish_notation type PolishInventions.
- Polish_notation type PsychologicalFeature100023100.
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- Polish_notation type Writing106359877.
- Polish_notation type WrittenCommunication106349220.
- Polish_notation comment "Polish notation, also known as Polish prefix notation or simply prefix notation, is a form of notation for logic, arithmetic, and algebra. Its distinguishing feature is that it places operators to the left of their operands. If the arity of the operators is fixed, the result is a syntax lacking parentheses or other brackets that can still be parsed without ambiguity. The Polish logician Jan Łukasiewicz invented this notation in 1924 in order to simplify sentential logic.".
- Polish_notation label "Notación polaca".
- Polish_notation label "Notacja polska".
- Polish_notation label "Notations infixée, préfixée, polonaise et postfixée".
- Polish_notation label "Notazione polacca".
- Polish_notation label "Notação polonesa".
- Polish_notation label "Polish notation".
- Polish_notation label "Polnische Notation".
- Polish_notation label "Prefix- en suffixnotatie".
- Polish_notation label "Польская нотация".
- Polish_notation label "ポーランド記法".
- Polish_notation label "波兰表示法".
- Polish_notation sameAs Prefixová_notace.
- Polish_notation sameAs Polnische_Notation.
- Polish_notation sameAs Notación_polaca.
- Polish_notation sameAs Poloniar_notazio.
- Polish_notation sameAs Notations_infixée,_préfixée,_polonaise_et_postfixée.
- Polish_notation sameAs Notazione_polacca.
- Polish_notation sameAs ポーランド記法.
- Polish_notation sameAs 폴란드_표기법.
- Polish_notation sameAs Prefix-_en_suffixnotatie.
- Polish_notation sameAs Notacja_polska.
- Polish_notation sameAs Notação_polonesa.
- Polish_notation sameAs m.0689v.
- Polish_notation sameAs Q214510.
- Polish_notation sameAs Q214510.
- Polish_notation sameAs Polish_notation.
- Polish_notation wasDerivedFrom Polish_notation?oldid=594978631.
- Polish_notation depiction Prefix-dia.svg.
- Polish_notation isPrimaryTopicOf Polish_notation.