Permutation on infinite set

Mark Forums Read

		Physics Forums > Mathematics > Set Theory, Logic, Probability, Statistics
Permutation on infinite set

Reply

Permutation on infinite set

Thread Tools

Search this Thread

Jun8-09, 11:49 PM	#1
guroten guroten is Offline: Posts: 17	Permutation on infinite set Given a countably infinite set, A, is the set of all permutations of A also countably infinite?

PhysOrg.com
PhysOrg

PhysOrg

science news on PhysOrg.com

>> Astronauts finish another spacewalk, still no baby
>> Hackers leak e-mails, stoke climate debate
>> Restored machine to explore mysteries of Big Bang

Jun9-09, 12:01 AM	#2
slider142 slider142 is Online: Posts: 628 Blog Entries: 2 Recognitions: PF Contributor	Re: Permutation on infinite set Have you learned about Cantor's diagonal slash?

Jun9-09, 12:02 AM	#3
Dragonfall Dragonfall is Offline: Posts: 878 Recognitions: PF Contributor	Re: Permutation on infinite set No, there are $LaTeX Code: {\\aleph_0}^{\\aleph_0}$ permutations.

Reply

Thread Tools
Show Printable Version Email this Page

Similar Threads for: Permutation on infinite set
Thread	Thread Starter	Forum	Replies	Last Post
why potential of an infinite line of charge not equals to zero at r = infinite	yanyin	General Physics	17	Jun26-09 08:59 PM
Splitting an infinite set into two equal infinite subsets.	mathboy	General Math	34	Apr13-08 05:37 PM
Conjugation of a permutation by a permutation in a permutation group	karnten07	Calculus & Beyond	3	Feb18-08 10:14 PM
Magnetic fields of infinite solenoid and infinite current carrying plane	s.gautam	Classical Physics	17	Apr26-07 12:42 AM
Black Hole: Infinite Density, Infinite Buoyancy?	Ryan H	General Astronomy	7	Feb1-05 12:58 PM