Editing Paradox (section)

=== Vicious circularity, or infinite regress ===
[[File:Liars paradox.svg|thumb|Vicious circularity illustrated]]
Another core aspect of paradoxes is non-terminating [[recursion]], in the form of [[circular reasoning]] or [[infinite regress]].<ref name=":0" />  When this recursion creates a metaphysical impossibility through contradiction, the regress or circularity is [[Infinite regress#Viciousness|vicious]].  Again, the liar paradox is an instructive example: "This statement is false"—if the statement is true, then the statement is false, thereby making the statement true, thereby making the statement false, and so on.<ref name=":0" /><ref>{{cite book |author1=Myrdene Anderson |url=https://books.google.com/books?id=SlW1BwAAQBAJ |title=On Semiotic Modeling |author2=Floyd Merrell |publisher=Walter de Gruyter |year=2014 |isbn=978-3-11-084987-5 |edition=reprinted |page=268}} [https://books.google.com/books?id=SlW1BwAAQBAJ&pg=PA268 Extract of page 268]</ref>

The barber paradox also exemplifies vicious circularity: The barber shaves those who do not shave themselves, so if the barber does not shave himself, then he shaves himself, then he does not shave himself, and so on.