Authors
Kevin Klement
University of Massachusetts, Amherst
Abstract
In 1903, in The Principles of Mathematics (PoM), Russell endorsed an account of classes whereupon a class fundamentally is to be considered many things, and not one, and used this thesis to explicate his first version of a theory of types, adding that it formed the logical justification for the grammatical distinction between singular and plural. The view, however, was short-lived; rejected before PoM even appeared in print. However, aside from mentions of a few misgivings, there is little evidence about why he abandoned this view. In this paper, I speculate as to what those reasons were, and evaluate them in light of recent work and interest in plural logic.
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DOI 10.15173/jhap.v2i6.47
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References found in this work BETA

Plural Predication.Thomas McKay - 2006 - Oxford University Press.
Parts of Classes.Michael Potter - 1993 - Philosophical Quarterly 43 (172):362-366.
Basic Laws of Arithmetic.Gottlob Frege - 2013 - Oxford University Press.

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Citations of this work BETA

Plural Quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
The Origin of the Theory of Types.Ryo Ito - 2018 - Annals of the Japan Association for Philosophy of Science 27:27-44.

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