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# The set of all counting numbers less than one million is it finite or infinite?

Updated: 4/28/2022

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12y ago

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Finite.

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12y ago
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Q: The set of all counting numbers less than one million is it finite or infinite?
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### What are the examples of finite and infinite sets in your daily life?

The set of your friends is finite. The set of counting numbers (part of which you will use to count your friends) is infinite.

### What are the finite or infinite sets?

A finite set is one containing a finite number of distinct elements. The elements can be put into a 1-to-1 relationship with a proper subset of counting numbers. An infinite set is one which contains an infinite number of elements.

Finite.

### What are finite and infinite set?

A finite set is a set with a finite number of elements. An infinite set has an infinite number of elements. Intuitively, if you count the elements in a finite set, you will eventually finish counting; with an infinite set, you'll never finish counting. One characteristic of infinite sets is that they can be placed in one-to-one correspondence with proper subsets of the set. For example, if A = {1, 2, 3, 4, ...} (the counting numbers), and B = {2, 3, 4, 5, ...} (the counting numbers, starting at 2), then B is a proper subset of A, and they can be placed in one-to-one correspondence like this: 1 &lt;---&gt; 2; 2 &lt;---&gt; 3; 3 &lt;---&gt; 4, etc. This means that, in a certain sense, the set and its proper subset have "the same number of elements". Such a one-to-one correspondence (between a set and one of its proper subsets) is not possible with finite sets.

Finite

Infinite.

### Who proved that there are an infinite amount of phone numbers?

It was presumably proven when it was discovered that there were infinitely many counting numbers. However, whoever it was, did not consider the mathematical possibility with practicality. The universe has a finite life. Within that our solar system is finite. People, in their turn, have finite lives. In a finite life you can only "dial" a finite number of digits. therefore, you can only call a number if it has a finite number of digits. For any finite number of digits, there are only a finite amount of phone numbers. So, having infinitely many telephone numbers is no use if you need to wait an infinite amount of time (longer than you'll live) for the first person to call you!

infinte

### What is the difference of finite and infinite?

its 2 types of numbers Finite numbers: have an end. they can be extremely long, but as long as they have an end at some point they are finite Infinite numbers never end. 1/3 is infinite, because the 0,3333 continues forever without even reaching exactly 1/3. 1/4 is finite, because it is exactly 0,25. So basically infinite numbers can never be written down exactly (in a decimal way), no matter how much paper you use, whereas finite numbers can.

### What is finite sets?

A finite set is a set that has numbers you can count. Its not like infinite with no end it has an end.

### Is the set of natural numbers less than -2 finite or infinite?

The empty set is a finite set.

### Examples of finite and infinite sets?

Finite sets:The counting numbers up to 10{1, 2, 3}The integer factors of 48The members of my immediate familyThe people on EarthThe grains of sand on planet EarthCountable infinite sets:The set of integersThe set of prime numbersThe set of square numbersThe set of rational numbersUncountable infinite sets:The set of real numbersThe set of complex numbers