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Set Theory, Logic, Probability, Statistics

- Fundamentals: Set theory, logic and proofs. Probability and statistics
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
micromass
1 30,623
mathworld defines the paradox like this:"Even though real arithmetic is uncountable, it possesses a countable...
Oct17-03 05:54 PM
Hurkyl
1 2,359
i found in this paper the term in the title: http://arxiv.org/abs/math.GR/9305201 what can you tell me about them?...
Apr12-04 02:19 PM
matt grime
1 2,571
in this page ive encountered this topic (it's a topic from combinatorics, so it's relevant to discrete maths with sets...
Jul2-05 03:23 AM
MathematicalPhysicist
3 1,635
prove that \epsilon_0 is an \epsilon number and that it's the smallest number. \epsilon_0=\lim_{n<\omega}\phi(n)...
Aug30-06 03:18 AM
matt grime
1 1,531
i searched at amazon for books, and find some books about this topic, and i wonder what does this topic cover? in one...
Apr19-06 03:11 PM
Hurkyl
3 1,836
1)let P={p1,p2....} be the set of all prime numbers for every n natural, present n as a representation of its prime...
Apr27-06 02:20 PM
HallsofIvy
33 2,682
i have a few question, that i hope they will answered. 1) let w={0,1...,n,..}={0}UN, and let f:wxw->w such that the...
Jun15-06 02:21 PM
CrankFan
18 1,632
i need to prove that if x is the first of sub(\phi;a,\psi) then there exists 1<=i<=n and there exist firsts \phi' of...
Jul23-06 08:55 AM
MathematicalPhysicist
1 1,969
i read that there are some logicians who do not use the axiom of choice in their axioms systems. i wonder what is the...
Aug31-06 02:16 AM
MathematicalPhysicist
2 1,374
i have a function f:R->R where f is monotone increasing, i need to show that the set of discontinuous points of f is...
Dec7-06 12:42 PM
HallsofIvy
5 4,581
1. i need to show that the set A={x in Q|0<=x<=1} Q is the rationals set. can be covered by open intervals I_k (k is...
Dec28-06 11:59 AM
EnumaElish
34 3,946
i need to find the cardinality of the set of all concave polygons. i know that each n-polygon is characterized by...
Dec30-06 08:01 AM
MathematicalPhysicist
12 2,171
i need to find the cardinality of set of continuous functions f:R->R. well i know that this cardinality is samaller...
Jan1-07 03:34 AM
AKG
14 6,726
i need to prove that there are c sqequences of rational numbers. basically, i need to show that |Q^N|=c. here, are a...
Jan4-07 07:13 AM
HallsofIvy
3 1,363
i need to show that there exists a class of sets A which is a subset of P(Q) such that it satisfies: 1) |A|=c (c is...
Jan8-07 11:47 AM
MathematicalPhysicist
14 2,525
i need to prove that X is an infinite set iff for every function f:X->X there exists a proper nonempty subset A of X...
Feb15-07 04:25 PM
AKG
6 1,829
i need to prove the next statement: let D be infinite class of infinite subsets of natural numbers that satisfies the...
Feb13-07 07:19 AM
ecurbian
5 1,464
1)axiom of choice: prove that for every set X and for every f:X->X there exists g:X->X such that fogof=f. 2)zorn's...
Feb13-07 08:52 AM
MathematicalPhysicist
0 1,059
let R be a reflexive and symmetric relation on a set X. let's define a relation S on X. by (x,y) in S iff there exists...
Feb14-07 10:07 AM
MathematicalPhysicist
0 1,903
how many words of length k can you create from {1,...,k} such that 1 appears even number of times? well, for k=0 we...
Jul2-07 06:05 AM
MathematicalPhysicist
5 1,862
My problem is as follows: Prove that the set of Godel numbers of provable formulas (P_f) is recursive iff the set of...
Dec18-07 12:03 PM
MathematicalPhysicist
0 1,966
I'm not sure I understnad what is a marginal distribution, but i need to show that if F1,F2 are one dimensional...
Feb9-08 03:41 PM
EnumaElish
1 2,393
Hey everyone, I have a question regarding combinations and poker! Could someone explain to me why the number of...
Apr21-12 09:57 AM
Stephen Tashi
3 1,382
What are the current capabilities of modern Theorem Provers? I know about logic/undecidability/complexity theory so go...
Feb5-14 11:39 AM
Hornbein
4 366
I am trying to understand the following theorem: An ordered field has the least upper bound property iff it has the...
Oct26-10 07:08 PM
HallsofIvy
2 2,331
Need help with this proof: Prove that the set of irrational numbers has the same cardinality as the set of real...
Nov17-09 03:44 PM
statdad
3 998
Hi all, I had a question about calculating mutual information, a topic to which I am very new. Consider the...
Jun27-11 11:42 PM
Stephen Tashi
3 4,657
I have temperature data from two different sites, and I want to develop a relationship for temperature between those...
Feb1-07 11:49 AM
EnumaElish
13 2,738
hi! given poisson distribution in the space 0,1,2,3,............ can we check if the distribution is a probability...
Feb12-08 02:40 AM
mathisgreat
2 1,381
I've already asked somebody through email this question, so I'll copy and paste part of my email: Basically, I'm...
Nov13-13 11:25 PM
Stephen Tashi
3 868
So I was thinking what would be the chances of two players on seperate pool tables playing the exact same game of...
Jan29-14 07:49 PM
bahamagreen
18 799
http://www.newscientist.com/article/mg21128231.400-ultimate-logic-to-infinity-and-beyond.html?full=true Above...
Aug2-11 07:03 PM
SteveL27
4 1,806
http://arxiv.org/pdf/1306.5973v1.pdf http://arxiv.org/abs/1306.5973 A detailed discussion and comparison of (δ,ε)...
Aug6-13 03:47 PM
mathman
0 363
Can I get the link to the prime number theorem?
May24-14 11:06 PM
micromass
1 238
I'm currently taking a college level probability course and I am stuck on a couple questions involving algebras and...
Sep11-09 02:15 PM
g_edgar
3 4,059
hey guys, some hopefully easy stat questions if you will Im wondering about translating one statistical...
Feb1-12 01:31 PM
mathpariah
2 1,110
hey Gonna get straight to the point. I need to establish the probability difference between two probabilities p_1...
Feb13-12 10:15 PM
andrewr
1 1,240
I really don't get this. Can someone please help me? Apply the proof of the Cantor-Schroder-Berstein theorem to...
May8-08 10:36 AM
Dragonfall
1 1,282
I'm trying to prove the following by contradiction: -(A^C)'=0. A, B, C are sets. All I know is in order to prove by...
Mar30-05 11:57 AM
kastarov
3 2,402
I'm having trouble with gcd proofs in general, but here is a specific problem. Let a and b be integers, not both...
Aug25-09 10:37 PM
roam
2 3,004

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