Rejection in Łukasiewicz's and Słupecki' Sense

Lvov-Warsaw School. Past and Present (2018)
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Abstract

The idea of rejection originated by Aristotle. The notion of rejection was introduced into formal logic by Łukasiewicz [20]. He applied it to complete syntactic characterization of deductive systems using an axiomatic method of rejection of propositions [22, 23]. The paper gives not only genesis, but also development and generalization of the notion of rejection. It also emphasizes the methodological approach to biaspectual axiomatic method of characterization of deductive systems as acceptance (asserted) systems and rejection (refutation) systems, introduced by Łukasiewicz and developed by his student Słupecki, the pioneers of the method, which becomes relevant in modern approaches to logic.

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References found in this work

Formalization of logic.Rudolf Carnap - 1943 - Cambridge, Mass.,: Harvard university press.
Aristotle's Syllogistic from the Standpoint of Modern Formal Logic.JAN LUKASIEWICZ - 1951 - Revue de Métaphysique et de Morale 57 (4):456-458.
Zarys logiki matematycznej.Andrzej Grzegorczyk - 1969 - Warszawa,: Państwowe Wydawn. Naukowe.

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