My Math Forum  

Go Back   My Math Forum > College Math Forum > Topology

Topology Topology Math Forum


Reply
 
LinkBack Thread Tools Display Modes
February 8th, 2016, 10:19 AM   #1
Senior Member
 
Joined: Mar 2015
From: New Jersey

Posts: 1,641
Thanks: 119

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 10:25 AM. Reason: replace b with y to match AR
zylo is offline  
 
February 8th, 2016, 10:54 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.
barokas is offline  
February 8th, 2016, 12:09 PM   #3
Senior Member
 
Joined: Mar 2015
From: New Jersey

Posts: 1,641
Thanks: 119

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 12:31 PM.
zylo is offline  
Reply

  My Math Forum > College Math Forum > Topology

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 10:53 AM
Archimedes axiom taylor_1989_2012 Linear Algebra 4 January 28th, 2016 12:05 PM
axiom Bhuvaneshnick Probability and Statistics 1 January 7th, 2015 06:06 AM
axiom of choice shaharhada Algebra 1 December 13th, 2013 03:21 AM
Is That An Axiom? mathmaniac Algebra 18 February 4th, 2013 05:33 PM





Copyright © 2019 My Math Forum. All rights reserved.