"Infinitely" Challenging Crossword

1. Null (smallest infinity), first letter of the Hebrew alphabet.
3. A number greater than any assignable quantity or countable number.
5. In mathematics, this is known as a horizontal line that a graph approaches but never touches.
10. A number that represents an absence of quantity. This number cannot be found in nature.
12. One of Cantor's core ideas describing infinity with a finite amount of terms.
14. Georg Cantor utilized this to show that a set is uncountable.
15. Greek mathematician who used the paradox Achilles and the Tortoise to show that repeatedly splitting a distance into two parts can be done for an infinite amount of times.
16. Geometric figure which extends in two directions without ending and has no thickness.

2. A synonym for infinity.
4. The first ancient people to use the concept of zero. However, they did not use the traditional number we have today, but a slanted wedged symbol to represent the number.
6. This residence was large enough to accommodate the integers and fractions, but was shown by Cantor that it was too small to accommodate the decimal numbers.
7. Indian mathematician and astronomer who was the first person to popularize the number zero, as well as establish its primary rules.
8. Set-theory pioneer.
9. Known for his work involving circumscribed polygons, circles, and use of proof by exhaustion.
11. Father of Modern Geometry who wrote The Book of Elements.
13. Ancient people who did not have a place in their number system for zero. They questioned the number's existence.