Thursday

July 31, 2014

July 31, 2014

Posted by **Bob** on Sunday, October 30, 2011 at 10:31pm.

- Math Logic -
**Steve**, Monday, October 31, 2011 at 12:51pmIt is true that both sets are infinite. However, it is also true that the set of irrational numbers is so much larger than the set of rational numbers, that if you throw a dart at the number line, the probability of hitting a rational number is zero!

Do a web search on transfinite cardinals to see that the number of rational numbers (and also the number of integers, which is the same!) is the "smallest" infinity, in a sense.

The number of real numbers (or irrationals, which is the same!) is the "next larger" infinity.

**Related Questions**

irrational numbers?! - what are rational and irrational numbers?? i know that ...

Math - What are irrational, rational, and natural numbers? A rational number is ...

Algebra - 28. Use the Distributive Property to simplify x(4x^2 + x + 4) Is it 4x...

9th grade - Name the set(s) of numbers to which 1.68 belongs. a. rational ...

math - list all numbers from the given set {-9,-4/5,0,0.25,/3,9.2,/100} that are...

math - 1. Which of the following numbers is an example of an integer? a. -15 b. ...

algebra - List all the numbers from the given set that are, a.natural numbers b....

math - What is the best sequence of names to identify this set of numbers? (1 3/...

math- please help - What is the best sequence of names to identify this set of ...

Math - Which statement is correct? A. All intergers are rational numbers. B. All...