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The Aristotelian Continuum. A Formal Characterization

Date

Authors

Roeper, Peter

Publisher

University of Notre Dame Press

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 topology.

Keywords

Keywords: Infinite divisibility; Linear continuum; Nonatomic domains of quantification; Region-based topology; Topology of the straight line

URI

http://hdl.handle.net/1885/18223

Collections

ANU Research Publications

Source

Notre Dame Journal of Formal Logic

Type

Journal article

DOI

10.1305/ndjfl/1153858647

Restricted until

2037-12-31

Downloads

File

Description

01_Roeper_The_Aristotelian_Continuum.__A_2006.pdf (1.03 MB)