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A “Distributive” or a “Collective” Approach to Sentences?

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Łukowski P.
Logic and Logical Philosophy
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2019
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vol. 28
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issue 2
331-354
EN
It is a well-known fact that the Russell’s antinomy arises within distributive set theory whereas it does not do so within collective set theory. n this paper, I shall propose what I shall call a “collective” understanding of a sentence as opposed to the standard, truth-functional approach which I shall term a “distributive" approach. Similar to the case with sets, the liar antinomy appears when the liar sentence is treated distributively. If, however, the sentence is understood collectively, then the liar antimony does not appear.
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On the Philosophical-Logical Views of Ludwik Borkowski

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CZERNECKA-REJ B.
Roczniki Filozoficzne
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2018
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vol. 66
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issue 2
149-171
PL
Dzięki zdobytej wiedzy filozoficznej Ludwik Borkowski widział problemy formalne w szer­szym kontekście. Był w uprawianiu logiki kontynuatorem tradycji szkoły lwowsko-warszawskiej. Podejmował problemy podstawowe dla szeroko pojętej logiki oraz mające doniosłe konsek­wen­cje filozoficzne, np. logiki nieklasyczne, teoria prawdy, metoda założeniowa, teoria konsekwen­cji, teoria definicji. Dbał o intuicyjną interpretację swych wyników logicznych, a samą logikę traktował jako naukę autonomiczną, która ma pełnić funkcję służebną wobec innych nauk. Choć nie pisał typowych dzieł filozoficzno-logicznych, dociekanie filozoficznych źródeł, inspiracji i kon­sekwencji wyników logiki towarzyszyło mu przez cały czas twórczej aktywności.
EN
Ludwik Borkowski’s vast knowledge of philosophy allowed him to put his logical studies in a philosophical context. As a logician, he continued the tradition of the Lvov-Warsaw school. He dealt with the basic issues of the widely understood logic as well as with those having strong philosophical implications (e.g. non-classical logics, the theory of truth, natural deduction, the theory of consequence). He also worked on the theory of definition and the intuitive interpre­tation of logical results. For Borkowski, logic was an autonomous science whose function is supposed to be ancillary towards the other sciences. Although he did not write any typical philo­sophical-logical works, investigating philosophical sources, inspirations and the implications of logi­cal results was something he did throughout the whole period of his creative activity.
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