☰
d2jsp
Rules
Help
Forum Gold FAQ
Live Streams
Photo Gallery
Hourly Raffle
Ladder Slasher
Log In
Register
Log In
Register
Account Recovery
Resend Validation Email
d2jsp Forums
>
Off-Topic
>
General Chat
>
Homework Help
> Set Theory
Add Reply
New Topic
New Poll
Views: 322
Replies: 5
Track Topic
moutonguerrier
Member
Posts: 30,945
Joined: Apr 13 2008
Gold
:
11,996.69
#1
Sep 17 2019 08:10pm
Show a set which satisfies the following form:
A = {A}
will pay 10 fg
moutonguerrier
Member
Posts: 30,945
Joined: Apr 13 2008
Gold
:
11,996.69
#2
Sep 18 2019 01:49pm
Try to write a set A which satisfies the following form: A = {A}. This type of definition should be avoided, even if in this case we can define a (weird) set which satisfies the form A = {A}.
feanur
Member
Posts: 16,662
Joined: Nov 24 2007
Gold
:
15,245.00
Trader:
Trusted
#3
Sep 18 2019 02:35pm
Russell's type theory forbid to consider that a set may be a subset of itself, to avoid Russell's paradox.
What are you working on ?
moutonguerrier
Member
Posts: 30,945
Joined: Apr 13 2008
Gold
:
11,996.69
#4
Sep 18 2019 03:30pm
Quote (feanur @ Sep 18 2019 04:35pm)
Russell's type theory forbid to consider that a set may be a subset of itself, to avoid Russell's paradox.
What are you working on ?
Yes, but still need to define a set for my discrete math homework
feanur
Member
Posts: 16,662
Joined: Nov 24 2007
Gold
:
15,245.00
Trader:
Trusted
#5
Sep 20 2019 02:38am
Then let :
A0 = ∅
A1 = {A0} = {∅}
A2 = {A1} = {{∅}}
A3 = {A2}
...
and imagine what A∞ looks like.
moutonguerrier
Member
Posts: 30,945
Joined: Apr 13 2008
Gold
:
11,996.69
#6
Sep 20 2019 02:02pm
Quote (feanur @ Sep 20 2019 04:38am)
Then let :
A0 = ∅
A1 = {A0} = {∅}
A2 = {A1} = {{∅}}
A3 = {A2}
...
and imagine what A∞ looks like.
Thats works.
10 fg winner
A = {x | x ∈ A}
Go Back To
Homework Help
Topic List
Add Reply
New Topic
New Poll
© 2003-2024 d2jsp
Contact