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Sheffer's Criticism of Royce's Theory of Order

Bibliographic Data

ID8902891
AuthorsScanlan Scanlan (corresponding author)
Year2010
Volume46
Issue2
Pages178-178
Publication date2010-01-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueTransactions of the Charles S Peirce Society (JOURNAL)
Journal identifiersISSN: 0009-1774 • E-ISSN: 1558-9587
PublisherIndiana University Press (PUBLISHER • US)
DOI10.2979/tra.2011.46.2.178
OpenAlexW1998929959
LanguageEN
References cited13

Henry Sheffer in his 1908 Ph.D. thesis disproves the claim of his teacher Josiah Royce that he had shown how to define an asymmetric order relation in terms of a symmetric relation of incompatibility in his 1905 ∑-system. The paper examines the nature of Royce’s “mistake” in the context of the evolving conception of mathematical definition in that period. It then goes on to consider the significance of defining the asymmetric in terms of the symmetric for Royce. Part of this was connected with a logicist project of defining mathematical concepts in terms of logical concepts

Calculus (dental · Context (archaeology · Criticism · Economics · Epistemology · Mathematical economics · Mistake · Order (exchange · Relation (database · Academic and Historical Perspectives in Psychology · Computer Science · History · Law · Mathematics · Philosophy · Philosophy, Science, and History · Pragmatism in Philosophy and Education

  • Logic, semantics, metamathematics

    Alfred Tarski•Logic, semantics, metamathematics•1956

  • Studies in logic by members of the Johns Hopkins University.

    C S Peirce•1883

  • Encyclopedia of the Philosophical Sciences, Vol. I. Logic

    Karl Schmidt, Arnold Ruge et al.•The Philosophical Review•1917

  • Josiah Royce

    Harold A Larrabee, Bruce Kuklick•The New England Quarterly•1973

  • The Life and Thought of Josiah Royce

    John J McDermott, John Clendenning•The New England Quarterly•1987

Citation velocityhistorical
Highly citedNo

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