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What is the difference between countable infinity and uncountable infinity?
Wiki User
∙ 15y ago
First we need to recognize that any form of infinity is just a mathematical construct. We are not ever going to have to deal with actual infinities, but what is very useful is understanding limiting behavior as something or other goes towards infinity. It is here that the difference between countable and uncountable infinities matters immensely. ; countable : can be put into a one to one correspondence with the natural numbers ; uncountable : cannot be put into a one to one correspondence with the natural numbers
Wiki User
∙ 15y ago
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The difference between the greatest possible number and the smallest possible number?
Infinity.
What numbers are between 0.001 and 0.002?
Infinity.
What fraction is between 0 and 0.5?
infinity many
What is between 15000 and 20000?
An infinity of real numbers.
How many numbers is between 3 and5?
An infinity of numbers between the two.
What is difference between uncountable adn infinity?
The Webster's definition of infinity is an endless amount. The Webster's definition of uncountable is inconceivably numerous. However, infinity is the proper term to be used in mathematics.
What number is between 7.39 and 7.4?
There are an uncountable infinity of numbers between 7.39 and 7.4.
What is the difference between some and few?
The word 'some' is used as a quantifier when the thing you're referring to is uncountable, or the quantity is not known. Whereas, the word 'few' is used when the thing you are referring to is countable or is in finite quantity
What is the Difference between a finite set and countable set?
all finite set is countable.but,countable can be finite or infinite
What is the difference between all and whole?
The word "all" is used with countable or uncountable nouns to refer to 100% of many things. For example: All of my furniture is from Ikea. (uncountable) I bought all of my plates from ABC department store. (countable) The words "whole" and "entire" mean 100% of one thing. It is used with countable nouns. For example: I ate the whole pie by myself. I'm so full right now. I spent the entire day watching TV and drinking beer. It was great!
What is countable set and uncountable set?
A countable set is defined as one whose elements can be put into one-to-one correspondence with elements of the set of counting numbers or some subset of it. A countable set can be infinite: for example all even numbers. This raises the strange concept where a subset (positive even numbers) has the same cardinality as all counting numbers - which should be a set that is twice as large! Even more confusingly (perhaps) is the fact that the set of all rational numbers also has the same cardinality as the set of counting numbers. You need to go to the set of irrationals or bigger before you get to uncountable sets. So you have the weird situation in which there are more irrationals between 0 and 1 than there are rationals between from 0 and infinity (if infinity can be treated as a value)! There is a minority definition of countable which means containing a finite number of elements as opposed to uncountable meaning infinitely many elements. However, these definitions are essentially the same as the finite sets and infinite sets and so there is little point in using them.
What is the difference between 0 and infinity?
Zero is nothing, infinity is everything.
What is the difference between infinite and uncountable?
infinite(y) means forever and uncountable means unable to be counted.
What is the difference between 20 and infinity?
The difference is infinity. Infinity is the concept of the largest possible number. Even if you take 20 away the number will still be infinity.
What is the difference between Riemann and Lebesgue integral?
The Lebesgue integral covers a wider variety of cases. Specifically, the definition of hte Riemann integral permits a finite number of discontinuities; the Lebesgue integral permits a countable infinity of discontinuities.
What is the similarities between infinity and the alpha and omega?
What are the simularites / difference betweeb infinity and the alpha and omaga ? between infinrity and eternity ?
The difference between the greatest possible number and the smallest possible number?
Infinity.
