On the Reality of the Continuum Discussion Note: A Reply to Ormell, 'Russell's Moment of Candour', "Philosophy"

Philosophy 83 (1):117-127 (2008)
Authors
Anne Newstead
University of Sydney
James Franklin
University of New South Wales
Abstract
This paper discusses an argument for the reality of the classical mathematical continuum. An inference to the best explanation type of argument is used to defend the idea that real numbers exist even when they cannot be constructively specified as with the "indefinable numbers"
Keywords continuum  real numbers  realism  indefinables
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