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Varieties of Continua: From Regions to Points and Back
Oxford, England: Oxford University Press. Edited by Stewart Shapiro (2017)
Abstract
Hellman and Shapiro explore the development of the idea of the continuous, from the Aristotelian view that a true continuum cannot be composed of points to the now standard, entirely punctiform frameworks for analysis and geometry. They then investigate the underlying metaphysical issues concerning the nature of space or space-time.Author Profiles
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Similar books and articles
Frege Meets Aristotle: Points as Abstracts.Stewart Shapiro & Geoffrey Hellman - 2015 - Philosophia Mathematica:nkv021.
Aristotelian Continua.Øystein Linnebo, Stewart Shapiro & Geoffrey Hellman - 2016 - Philosophia Mathematica 24 (2):214-246.
Regions-based two dimensional continua: The Euclidean case.Geoffrey Hellman & Stewart Shapiro - 2015 - Logic and Logical Philosophy 24 (4).
The Structure of Gunk: Adventures in the Ontology of Space.Jeffrey Sanford Russell - 2008 - In Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4. Oxford University Press. pp. 248.
On Continuity: Aristotle versus Topology?Michael J. White - 1988 - History and Philosophy of Logic 9 (1):1-12.
The Classical Continuum without Points – CORRIGENDUM.G. Hellman & S. Shapiro - 2013 - Review of Symbolic Logic 6 (3):571-571.
Points of View: A Conceptual Space Approach.Antti Hautamäki - 2016 - Foundations of Science 21 (3):493-510.
The classical continuum without points.Geoffrey Hellman & Stewart Shapiro - 2013 - Review of Symbolic Logic 6 (3):488-512.
Through Points on 3 and 2 Faces of a Triangular Pyramid.Goel Piyush - September,2016 - Edupediapublications 3 (13):1-3.
Towards a Point-free Account of the Continuous.Geoffrey Hellman & Stewart Shapiro - 2012 - Iyyun 61:263.
Temporal Points of View: Subjective and Objective Aspects.Margarita Vázquez Campos & Antonio Manuel Liz Gutiérrez (eds.) - 2015 - Springer Verlag.
Temporal Points of View: Subjective and Objective Aspects.Margarita Vázquez Campos (ed.) - 2015 - Cham: Springer.
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Citations of this work
In defense of Countabilism.David Builes & Jessica M. Wilson - 2022 - Philosophical Studies 179 (7):2199-2236.
A Calculus of Regions Respecting Both Measure and Topology.Tamar Lando & Dana Scott - 2019 - Journal of Philosophical Logic 48 (5):825-850.
World Enough and Form: Why Cosmology Needs Hylomorphism.John G. Brungardt - 2019 - Synthese (Suppl 11):1-33.
The introduction of topology into analytic philosophy: two movements and a coda.Samuel C. Fletcher & Nathan Lackey - 2022 - Synthese 200 (3):1-34.
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