Abstract
On the basis of the Indispensability Argument (Section 33), digitalists affirm the existence of an abstract background of mathematical objects. For digitalists, the most prevalent abstract objects are sets. Among sets, the simplest is the empty set, which does not contain any members. The empty set is denoted {}. But simpler sets are members of more complex sets. Hence the empty set is a member of the set of the empty set, which is written as {{}}. And both {} and {{}} are members of {{}, {{}}}.
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© 2014 Eric Charles Steinhart
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Steinhart, E.C. (2014). Nature. In: Your Digital Afterlives. Palgrave Frontiers in Philosophy of Religion. Palgrave Macmillan, London. https://doi.org/10.1057/9781137363862_10
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DOI: https://doi.org/10.1057/9781137363862_10
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-1-349-47312-0
Online ISBN: 978-1-137-36386-2
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