|
5 items are filed under this topic.
 |
|
|
|
|
|
|
|
|
Finite and infinite sets |
2019-06-10 |
|
From Pretzie:
What is Finite Set & Infinite Set?
Answered by Penny Nom. |
|
|
|
|
|
|
Cardinality of infinite sets |
2009-09-01 |
|
From Brian:
I was reading an answer to a question on your site regarding infinite sets (http://mathcentral.uregina.ca/QQ/database/QQ.09.01/carlos1.html), and I think they may have got the answer wrong.
I his example, he claims that the set of real numbers BETWEEN 0 AND 1 is larger than the set of positive integers.
Please correct me if I am wrong, but I believe those two sets are -- pardon the expression -- equally infinite. For any integer, there is a corresponding real number between 0 and 1, and vice versa.
For instance, using the decimal as a "mirror", you can create a mirror image of any real number between 0 and 1 as an integer (i.e. 0.1234 gets mirrored as the integer 4321 -- I could write it out algebraically, if you want, but you get my point)
Am I wrong?
Thanks,
Brian
Answered by Victoria West. |
|
|
|
|
|
|
An infinite set |
2009-08-07 |
|
From Islam:
How can I prove that the set of all odd natural numbers is an infinite set. Thank you.
Answered by Robert Dawson. |
|
|
|
|
|
|
Prove that the set of all positive odd integers is an infinite set |
2009-06-20 |
|
From Nazrul:
How can I prove that the set of all positive odd integers is an infinite set.
Thank you in advance.
Answered by Victoria West. |
|
|
|
|
|
|
Infinite sets |
2000-04-12 |
|
From Brian Provost:
Here's the deal: There are an infinite amount of integers (1,2,3...). Agreed? There are an infinite amount of even integers, too (2,4,6...). Agreed? By convention, infinity equals infinity. Yet common sense tells us there are obviously more integers than there are even integers. Prove this to be true mathematically.
Answered by Harley Weston. |
|
|
|
