Busting a Myth about Leśniewski and Definitions

History and Philosophy of Logic 33 (2):159 - 189 (2012)
Abstract
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 Le?niewski, a Polish logician. After a brief survey of its origins, we show that the myth is highly dubious. First, no place in Le?niewski's published or unpublished work is known where the standard conditions are discussed. Second, Le?niewski's own logical theories allow for creative definitions. Third, Le?niewski'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 ?ukasiewicz and Ajdukiewicz
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DOI 10.1080/01445340.2011.583771
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References found in this work BETA
Logic, Semantics, Metamathematics.Alfred Tarski - 1956 - Oxford, Clarendon Press.
Principles of Mathematics.Bertrand Russell - 1903 - Cambridge University Press.
Introduction to Mathematical Logic.Alonzo Church - 1944 - London: Oxford University PRess.
Introduction to Mathematical Logic.Alonzo Church - 1956 - Princeton: Princeton University Press.
Introduction to Logic.Suppes Patrick - 1957 - Dover Publications.

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Citations of this work BETA
Formalization, Primitive Concepts, and Purity.John T. Baldwin - 2012 - Review of Symbolic Logic 1 (1):1-42.

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