The adverbial theory of numbers: some clarifications

Synthese 197 (9):3981-4000 (2020)
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Abstract

In a forthcoming paper in this journal, entitled “Bad company objection to Joongol Kim’s adverbial theory of numbers”, Namjoong Kim presents an ingenious Russell-style paradox based on an analogue of Kim’s definition of the number 1, and argues that Kim’s theory needs to provide a criterion of demarcation between acceptable and unacceptable definitions of adverbial entities. This paper addresses this ‘bad company’ objection and some other related issues concerning Kim’s adverbial theory by clarifying the purposes and uses of the formal framework of the theory.

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Joongol Kim
Sogang University

Citations of this work

The Problem of Fregean Equivalents.Joongol Kim - 2019 - Dialectica 73 (3):367-394.

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References found in this work

Material beings.Peter Van Inwagen - 1990 - Ithaca: Cornell University Press.
Material Beings.Peter Van Inwagen - 1990 - Ithaca, N.Y.: Cornell University Press.
Perceiving: A Philosophical Study.Roderick M. Chisholm - 1957 - Ithaca,: Cornell University Press.
Frege's conception of numbers as objects.Crispin Wright - 1983 - [Aberdeen]: Aberdeen University Press.
The Fragmentation of Being.Kris McDaniel - 2017 - New York: Oxford University Press.

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