ON INFINITE NUMBER AND DISTANCE

Gwiazda, Jeremy (2008) ON INFINITE NUMBER AND DISTANCE.

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Abstract

Which objects (order types of total orderings) are the infinite numbers? Cantor answers: the infinite ordinals (that is, the order types of the infinite, well-ordered sets). In this paper, I argue that these objects are not the infinite numbers, but rather that objects of a different form are. Similar considerations will be seen to apply to infinite distance.

Keywords:infinite number Cantor ordinal order type
Subjects:Specific Sciences: Mathematics
ID Code:3968
Deposited By:Gwiazda, Jeremy
Deposited On:02 April 2008