Ordinal number

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/ordinal-number

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the discoverer?Georg Cantor introduced ordinal numbers in 1883
2. What are ordinal numbers and why are they called "super sorters"?Ordinal numbers tell us the position of things in a line, like first, second, or third. They help us put items in a specific order, so they’re called super sorters.
3. How did mathematicians learn to use ordinal numbers for infinite sets?Georg Cantor showed that we can give a position to infinite sets by using transfinite ordinals. He started with the smallest infinite ordinal, ω, which represents all natural numbers in order.

Well-ordering Principle: The property that every non-empty set can be ordered such that every non-empty subset has a least element.
Transfinite Numbers: Numbers that are greater than all finite numbers, including infinite ordinals and cardinals.
Isomorphism: A mapping between two structures that preserves their essential properties, indicating they are structurally the same.