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An Essay in Honor of Adolf Grünbaum’s Ninetieth Birthday

A Reexamination of Zeno’s Paradox of Extension

Bibliographic Data

ID10706048
AuthorsPhilip Ehrlich (corresponding author)
Year2014
Volume81
Issue4
Pages654-675
Publication date2014-10-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePhilosophy of Science (JOURNAL)
Journal identifiersISSN: 0031-8248 • E-ISSN: 1539-767X
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1086/677978
OpenAlexW2178065744
LanguageDE
Citations received1
References cited18

We suggest that, far from establishing an inconsistency in the standard theory of the geometrical linear continuum, Zeno’s Paradox of Extension merely establishes an inconsistency between the standard theory of geometrical magnitude and a misguided system of length measurement. We further suggest that our resolution of Zeno’s paradox is superior to Adolf Grünbaum’s now standard resolution based on Lebesgue measure theory

Calculus (dental) · Epistemology · Extension (predicate logic) · Honor · Physics · Quantum mechanics · Quantum Zeno effect · Resolution (logic) · Theoretical physics · Zeno's paradoxes · Advanced Numerical Analysis Techniques · Computer Science · History and Theory of Mathematics · Mathematics · Mathematics and Applications · Medicine · Philosophy

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    Open Access•Philip Ehrlich•Philosophy of Science•2022

  • Physics, Philosophy and Psychoanalysis

    Open Access•R S Cohen, Larry Laudan•Physics, Philosophy and…•1983

  • Modern Science and Zeno's Paradoxes

    Open Access•Richard Swinburne, R G Swinburne•Philosophical Books•1969

  • Philosophical Problems of Space and Time

    John M Quinn•New Scholasticism•1967

  • Philosophical Problems of Space and Time

    J J C Smart, Inc Journal of Philosophy•The Journal of Philosophy•1964

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    Open Access•Adolf Grunbaum, Sergio Grunbaum•Philosophical Problems of Space…•1973

  • From Completeness to Archimedean Completenes

    Open Access•Philip Ehrlich•Synthese•1997

  • Zeno's Metrical Paradox Revisited

    Open Access•David Sherry, David M Sherry•Philosophy of Science•1988

  • Toward a Clarification of Grünbaum's Conception of an Intrinsic Metric

    Gerald J Massey•Philosophy of Science•1969

  • A Consistent Conception of The Extended Linear Continuum as an Aggregate of Unextended Elements

    Open Access•Adolf Grunbaum•Philosophy of Science•1952

  • Reasoning and the Logic of Things. The Cambridge Conferences Lectures of 1898

    Jaime Nubiola, Charles Sanders Peirce et al.•The Philosophical Quarterly•1993

  • Space, Time and Motion

    P K Smith, Peter Smith et al.•The Philosophical Quarterly•1976

Unique citing works1
Citations per year0.25
Citation span2022 - 2022 (1)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 1

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