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A disturbing supertask

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

October 25, 2020

File:

/Research Papers-Mathematics and Applied Mathematics/Download/8387

Downloads:

Keywords:

supertask, w-order, actual infinity, potential infinity

Abstract:

This paper examines the consistency of ω-order by means of a supertask that functions as a supertrap for the assumed existence of ω-ordered collections, which are simultaneously complete (as is required by the Actual infinity) and uncompletable (because no last element completes them).