Accommodating the informal notion of class within the framework of Lesaniewski's Ontology

Dialectica 39 (3):217-241 (1985)
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Abstract

SummaryInterpreted distributively the sentence‘Indiana is a member of the class of American federal states’means the same as‘Indiana is an American federal state’. In accordance with the collective sense of class expressions the sentence can be understood as implying that Indiana is a part of the country whose capital city is Washington. Neither interpretation appears to accommodate all the intuitions connected with the informal notion of class. A closer accommodation can be achieved, it seems, if class expressions are interpreted as verb‐like expressions of a certain kind available within the framework of Lesniewski's Ontology.

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Citations of this work

Lesniewski and Russell's paradox: Some problems.Rafal Urbaniak - 2008 - History and Philosophy of Logic 29 (2):115-146.

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References found in this work

Word and Object.Willard Van Orman Quine - 1960 - Cambridge, MA, USA: MIT Press.
The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
The foundations of arithmetic.Gottlob Frege - 1884/1950 - Evanston, Ill.,: Northwestern University Press.
Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.
Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.

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