Counting Beyond Infinity

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Across
  1. 3. An ordinal that describes amounts larger than infinity.
  2. 6. States that the amount of members in the power set of Aleph Null is equal to Aleph one.
  3. 8. A number used to describe an amount of things.
  4. 10. A number that describes what order something goes in.
Down
  1. 1. A number used to describe how many cardinals there are.
  2. 2. The amount of times sets can be arranged into subsets.
  3. 4. The amount of members in the power set of Aleph Null.
  4. 5. An unending amount of things.
  5. 7. The first and smallest uncountable ordinal.
  6. 9. A statement that is accepted as true without proof in mathematics.