Set Theory and Logic

   

Definition of Nothing in Mathematical Logic Copyright © 2018 by Colin James III All Rights Reserved.

Authors: Colin James III

Nothing is defined as "not necessarily a thing". This leads to how to collect not everything as nothing in multiple variables into a larger nothing variable, implying a set of nothing as a null set. We write this as nothing in p and nothing in q and nothing in r are all greater than nothing in s: ((~#p&~#q)&~#r)>~#s TTTT TTTT CTTT TTTT. As rendered, this is not tautologous, although nearly so with one deviant C contingency (falsity) value. Hence a collection of nothing does not imply anything outside itself. By extension, the null set is not logically feasible and cannot exist: a collection must contain something even though it is nothing.

Comments: 1 Page. Copyright © 2018 by Colin James III All rights reserved. Note that comments on Disqus are not forwarded or read, so respond to author's email address: info@cec-services dot com.

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[v1] 2018-07-02 23:08:38

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