Sizes of Infinity
Page 1 of 1 • Share •
Sizes of Infinity
Which of the following infinitely large sets is largest?
a.) the set of all rational numbers
b.) the set of all positive even numbers
c.) the set of all positive odd numbers
d.) the set of all real numbers from 0 to 1, inclusive
e.) the set of all counting numbers (1, 2, 3, 4, ...)
f.) All of the above sets are the same size.
If your answer is a-e, provide a proof as to why the set you chose is larger.
P.S.
Where am I getting these points from?
Here is the answer
a.) the set of all rational numbers
b.) the set of all positive even numbers
c.) the set of all positive odd numbers
d.) the set of all real numbers from 0 to 1, inclusive
e.) the set of all counting numbers (1, 2, 3, 4, ...)
f.) All of the above sets are the same size.
If your answer is a-e, provide a proof as to why the set you chose is larger.
P.S.
Where am I getting these points from?
Here is the answer
- Spoiler:
Last edited by theonlyMattinMathCounts on Fri Apr 10, 2009 10:56 pm; edited 2 times in total (Reason for editing : Hehe)

theonlyMattinMathCounts- Novice Poster

- Posts: 5
Points: 9
Reputation: 4
Join date: 2009-02-10
Location: ... Nobody in hiding gives away their location...
Re: Sizes of Infinity
I'm probably wrong due to under thinking it, but...
- Spoiler:
_________________
In a nerd forum, one nerd will rise above all...

Ben R- LogarithmLover

- Posts: 38
Points: 14
Reputation: 10
Join date: 2008-10-06
Age: 15
Location: [LOCATION YET TO BE CONFIRMED]
Meh
Well I was actually talking about the number of numbers in the set not the sum of numbers.

theonlyMattinMathCounts- Novice Poster

- Posts: 5
Points: 9
Reputation: 4
Join date: 2009-02-10
Location: ... Nobody in hiding gives away their location...
Permissions of this forum:
You cannot reply to topics in this forum





