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infinite set

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Finite and infinite sets 2019-06-10
Pretzie pose la question :
What is Finite Set & Infinite Set?
Penny Nom lui répond.
Cardinality of infinite sets 2009-09-01
Brian pose la question :
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

Victoria West lui répond.
An infinite set 2009-08-07
Islam pose la question :
How can I prove that the set of all odd natural numbers is an infinite set. Thank you.
Robert Dawson lui répond.
Prove that the set of all positive odd integers is an infinite set 2009-06-20
Nazrul pose la question :
How can I prove that the set of all positive odd integers is an infinite set.
Thank you in advance.

Victoria West lui répond.
Infinite sets 2000-04-12
Brian Provost pose la question :
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.
Harley Weston lui répond.
 
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