Article ID: CBB001210995

Busting a Myth about Leśniewski and Definitions (2012)

unapi

A theory of definitions which places the eliminability and conservativeness requirements on definitions is usually called the standard theory. We examine a persistent myth which credits this theory to Lesniewski, a Polish logician. After a brief survey of its origins, we show that the myth is highly dubious. First, no place in Lesniewski's published or unpublished work is known where the standard conditions are discussed. Second, Lesniewski's own logical theories allow for creative definitions. Third, Lesniewski's celebrated `rules of definition' lay merely syntactical restrictions on the form of definitions: they do not provide definitions with such meta-theoretical requirements as eliminability or conservativeness. On the positive side, we point out that among the Polish logicians, in the 1920s and 1930s, a study of these meta-theoretical conditions is more readily found in the works of Lukasiewicz and Ajdukiewicz.

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https://data.isiscb.org/isis/citation/CBB001210995/

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Authors & Contributors
Dunning, David E.
Kuna, Jakub
Halplin, Ross
Rohde, Martin
Górny, Maciej
Wigand, Moritz E.
Concepts
Logic
Jews
Philosophy
Mathematics
Holocaust
Philosophy of mathematics
Time Periods
20th century, early
19th century
20th century
20th century, late
Places
Poland
Germany
Eastern Europe
Ukraine
Prussia (Germany)
North America
Institutions
Shevchenko Scientific Society
Wojskowy Instytut Geograficzny (Polish Military Geographical Institute)
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