Zwischen Syllogistik und den Systemen von Leśniewski : eine Rekonstruktion der Idee der Quantifizierung der Prädikate

Eugeniusz Wojciechowski

Abstract

The work begins with a hisinrical outline of this problem. Two standpoints realizing the above idea are here presented: the earlier intensional attitude (Leibniz, Lambert, Castillon) and the extensional one (Bentham, Hamilton, De Morgan, and Boole). The paper presents a logical axiomatic reconstruction of some realizations of this idea in its extentional expression, presented in XIX century by the above - mentioned English logicians. It is shown that those systems played an important role in the later development of logic, Apart from the syntactical side of these theories, semantical ideas connected with them arc also discussed. It is further shown that these systems as calculi of names are situated between syllogistic and Legniewskian ontology. An intermediate construction, with the functor some in the weak and distributive meaning, between one of De Morgan's calculi and Boole's system is proposed. Similarly an extension of Boolean calculus with that functor has subsequently been proposed. The last of the above logical systems is interpreted in Legniewski's systems: in the protothetics (what can be regarded as well as a proof of its consistency); in the ontology (distributive interpretation) and in the mereology (collective interpretation).
Other language title versionsMiędzy sylogistyką a systemami Leśniewskiego : rekonstrukcja idei kwantyfikacji orzecznikówBetween syllogistic and Leniewski's systems. A reconstruction of the idea of quantification of predicates
Book typeMonograph
Other categories ROZPRAWA_HABILITACYJNA
Author Eugeniusz Wojciechowski (UAK)
Eugeniusz Wojciechowski,,
- University of Agriculture in Krakow
PublisherUniwersytet Rolniczy im. Hugona Kołłątaja w Krakowie, MNiSW [80]
Publishing place (Publisher address)Kraków
Issue year1995
Book series /Journal (in case of Journal special issue)Zeszyty Naukowe Akademii Rolniczej im. H. Kołłątaja w Krakowie. Rozprawy, ISSN 1233-4189, (0 pkt)
No206
Pages80
Publication size in sheets5.7
Languagede niemiecki
Score (nominal)20
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