
Topology Topology Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 8th, 2016, 09:19 AM  #1 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,400 Thanks: 100  Zermelo Frankel Axiom of Regularity
Axiom of Regularity: For any set x$\displaystyle \neq$0 there is a member y of x such that y$\displaystyle \cap$x=0. x={y,{x}}, y$\displaystyle \cap$x=0 But x is circular. Last edited by zylo; February 8th, 2016 at 09:25 AM. Reason: replace b with y to match AR 
February 8th, 2016, 09:54 AM  #2 
Member Joined: Sep 2013 Posts: 33 Thanks: 0 
Try this form : For all nonempty x and y in x, any z in x is not in y. 
February 8th, 2016, 11:09 AM  #3 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,400 Thanks: 100 
Ref: Axiom of Regularity is wrong x={y,{x}}, y∩x=0 members of x: y,{x} No member of y is a member of x. If A={b,c} and d$\displaystyle \in$c, d$\displaystyle \notin$A Last edited by zylo; February 8th, 2016 at 11:31 AM. 

Tags 
axiom, frankel, regularity, zermelo 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Axiom of Regularity is wrong  zylo  Topology  13  February 8th, 2016 09:53 AM 
Archimedes axiom  taylor_1989_2012  Linear Algebra  4  January 28th, 2016 11:05 AM 
axiom  Bhuvaneshnick  Probability and Statistics  1  January 7th, 2015 05:06 AM 
axiom of choice  shaharhada  Algebra  1  December 13th, 2013 02:21 AM 
Is That An Axiom?  mathmaniac  Algebra  18  February 4th, 2013 04:33 PM 