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Universality of Logic

Jan Woleński — 2017

Bulletin of the Section of Logic

This paper deals with the problem of universality property of logic. At first, this property is analyzed in the context of first-order logic. Three senses of the universality property are distinguished: universal applicability, topical neutrality and validity (truth in all models). All theses senses can be proved to be justified. The fourth understanding, namely the amount of expressive power, is connected with the criticism of the first-order thesis: first-order logic is the logic. The categorical...

Mathematical logic in Poland 1918–1939

Jan Woleński — 2018

Antiquitates Mathematicae

Poland in the years 1918–1939 became one of the main centres of mathematical logic in the entire Word. This paper describes the rise of this field in Poland, Polish logical circles, organizations, journals and the main achievements of Polish logicians.

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