Polish Notation For Logic
The table below shows the core of Jan Łukasiewicz's notation for sentential logic. The "conventional" notation did not become so until the 1970s and 80s. Some letters in the Polish notation table means a certain word in Polish, as shown:
| Concept | Conventional notation |
Polish notation |
Polish word |
|---|---|---|---|
| Negation | Nφ | negacja | |
| Conjunction | Kφψ | koniunkcja | |
| Disjunction | Aφψ | alternatywa | |
| Material conditional | Cφψ | implikacja | |
| Biconditional | Eφψ | ekwiwalencja | |
| Falsum | O | fałsz | |
| Sheffer stroke | Dφψ | dysjunkcja | |
| Possibility | Mφ | możliwość | |
| Necessity | Lφ | konieczność | |
| Universal quantifier | Πpφ | kwantyfikator ogólny | |
| Existential quantifier | Σpφ | kwantyfikator szczegółowy |
Note that the quantifiers ranged over propositional values in Łukasiewicz's work on many-valued logics.
Bocheński introduced an incompatible system of Polish notation that names all 16 binary connectives of classical propositional logic.
Read more about this topic: Polish Notation
Famous quotes containing the words polish and/or logic:
“Use the stones of another hill to polish your own jade.”
—Chinese proverb.
“The American Constitution, one of the few modern political documents drawn up by men who were forced by the sternest circumstances to think out what they really had to face instead of chopping logic in a university classroom.”
—George Bernard Shaw (1856–1950)