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The Aristotelian Continuum. A Formal Characterization
Notre Dame Journal of Formal Logic 47 (2):211-232 (2006)
Abstract
While the classical account of the linear continuum takes it to be a totality of points, which are its ultimate parts, Aristotle conceives of it as continuous and infinitely divisible, without ultimate parts. A formal account of this conception can be given employing a theory of quantification for nonatomic domains and a theory of region-based topologyOther Versions
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Citations of this work
The classical continuum without points.Geoffrey Hellman & Stewart Shapiro - 2013 - Review of Symbolic Logic 6 (3):488-512.
Frege Meets Aristotle: Points as Abstracts.Stewart Shapiro & Geoffrey Hellman - 2015 - Philosophia Mathematica:nkv021.
"The whole is greater than the part." Mereology in Euclid's Elements.Klaus Robering - 2016 - Logic and Logical Philosophy 25 (3):371-409.
References found in this work
Topological Representations of Mereological Systems.Thomas Mormann - 2000 - Poznan Studies in the Philosophy of the Sciences and the Humanities 76:463 -486.
Mereotopology without Mereology.Peter Forrest - 2010 - Journal of Philosophical Logic 39 (3):229-254.
Generalisation of first-order logic to nonatomic domains.P. Roeper - 1985 - Journal of Symbolic Logic 50 (3):815-838.
First- and second-order logic of mass terms.Peter Roeper - 2004 - Journal of Philosophical Logic 33 (3):261-297.
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