- Tytuł:
-
Algebra pojęć deontycznych
Algebra of Deontic Notions - Autorzy:
- Nieznański, Edward
- Powiązania:
- https://bibliotekanauki.pl/articles/2013199.pdf
- Data publikacji:
- 2020-09-03
- Wydawca:
- Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
- Tematy:
-
pojęcia deontyczne
modalności deontyczne
związek pojęć deontycznych z wartościami moralnymi
algebra zbiorów
algebra Boole’a
deontic notions
deontic modalities
connection of deontic concepts with the moral values
algebra of sets
the Boolean algebra - Opis:
- Leibniz suggested that deontic modalities can be defined in terms of the alethic modalities; according to him, the permitted (licitum) is what possible for a good man to do and the obligatory (debitum) is what is necessary for a good man to do. The paper starts from specifying a connection of deontic concepts with the moral values. The connection comes down to define an isomorphism of two Boolean algebras: from deontic one onto axiological one. The work presents theories of two algebras of deontic notions: the algebra of sets and the Boolean algebra. The theory of deontic set is based on the two axioms: xÎV (an act x is an element of the set of acts subordinated to some norm or law) and x''=x (an act x is identical with double denial of x). By means of definitions following notions are introduced: Λ (the empty set of acts), N (the set of ordered acts), Z (the set of forbidden acts), P (the set of obligatory acts), F (the set of optional acts), D (the set of permitted acts), I (the set of indifferent acts).The calculus is structured by rules of the Słupecki-Borkowski’s suppositional deduction. Forty five theorems are proven in this calculus. The second theory presented in the paper, is a Boolean algebra of deontic notions. Added to the theory of equality, it takes axioms from the theory of Boolean algebras with addition of a specific axiom for the deontic system i.e., N = N∩D. Sixty four theorems are proven in this calculus.
- Źródło:
-
Roczniki Filozoficzne; 2008, 56, 1; 239-251
0035-7685 - Pojawia się w:
- Roczniki Filozoficzne
- Dostawca treści:
- Biblioteka Nauki
Artykuł