Set Theory and Logic

   

Formal Language, Intuition, Kleene Plus and Zorn's Lemma

Authors: Minseong Kim

In computer science, a character set $\Sigma$ is often defined. Then, Kleene plus and Kleene star for formal language are defined. Then, $\Sigma^{+} = \Sigma^{*}\Sigma$ is proved, which means every string (set) in $\Sigma^{+}$ can be represented as a concatenation of a set in $\Sigma^{*}$ and a set in $\Sigma$. However, if one forms a set that cannot be defined by a formula but what people would believe as existing, then while the proof itself does not break down, it may be possible that state of matter is inconsistent. This paper explores this possibility.

Comments: 2 Pages.

Download: PDF

Submission history

[v1] 2015-08-30 19:26:33

Unique-IP document downloads: 67 times

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus