Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

mmiguel

Member Since 01 Sep 2012
Offline Last Active Mar 03 2013 08:35 AM
-----

Posts I've Made

In Topic: Colored Cards

27 January 2013 - 12:59 AM

Spoiler for
Spoiler for hint

In Topic: Job Interview

25 October 2012 - 12:20 PM

I would agree.


So would I.

i don't get it.. what if he goes for the one with 99 balls and gets a red ball?

Spoiler for

In Topic: Recursion

21 October 2012 - 07:53 PM

What does F(0,0) evaluate to? you need it for F(1,1)

Spoiler for


F(0,0) = 1
Sorry for leaving that out.

Nice work, you are correct!

In Topic: I can't or I won't say

21 October 2012 - 04:48 AM

One more requirement for [A]: for finite sets, [A] = |A|


One more requirement:

If A is the real interval [0,1], and B = [0,0.5) U (0.5,1] U {2}
Then [A] = [B]

B is the same as A, except that 0.5 is removed, and 2 is added.
B is no longer a subset of A, but from an intuitive perspective should have the same "quantity of points".

In Topic: I can't or I won't say

21 October 2012 - 04:31 AM

I don't think we can say the the same about the edge with respect to the cube:
The edge does not have other points than those contained in the cube.

Do you agree?

The subset operator would still show asymetry here.
The less-than operator would not show asymmetry  between the cardinalities of the two sets.

Our intuition tells us, if A is a strict subset of B, then |A| < |B|.
Our conclusion from this discussion is that this transformation, from a statement of sets, to a statement of cardinalities, does not hold when sets are infinite.

Is there some other commonly accepted mathematical construct, e.g. denoted for set A by [A], that evaluates to a number, such that if A is a strict subset of B, then [A] < [B] even for infinite sets?


One more requirement for [A]: for finite sets, [A] = |A|