Numerically Equivalent Sets
Two sets A and B (finite or infinite) are said to have the same cardinality, written |A| =|B|, if either A and B are both empty or there is a bijective function f from A to B. Two sets having the same cardinality are also referred to as numerically equivalent sets.
What did I find difficult?
You know, the one theorem 10.1 was difficult for me. I had a tough time understanding how numerically equivalent sets played into the theorem. The definition of numerically equivalent sets seems pretty easy to me, but I'm not sure if I'm actually understanding what these sets are. I believe I will need more practice and explanation on what these sets are.
What did I find interesting?
I love the idea of cardinality. Google defines cardinality as "the number of elements in a set or other grouping." I think it's a natural thing to do - to count the number of elements in a group. It's a very simple thing to do, but it shows an important property of a group. The number of elements tells you a lot about what you can do with that set or group. I'm excited to learn more about this.
Two sets A and B (finite or infinite) are said to have the same cardinality, written |A| =|B|, if either A and B are both empty or there is a bijective function f from A to B. Two sets having the same cardinality are also referred to as numerically equivalent sets.
What did I find difficult?
You know, the one theorem 10.1 was difficult for me. I had a tough time understanding how numerically equivalent sets played into the theorem. The definition of numerically equivalent sets seems pretty easy to me, but I'm not sure if I'm actually understanding what these sets are. I believe I will need more practice and explanation on what these sets are.
What did I find interesting?
I love the idea of cardinality. Google defines cardinality as "the number of elements in a set or other grouping." I think it's a natural thing to do - to count the number of elements in a group. It's a very simple thing to do, but it shows an important property of a group. The number of elements tells you a lot about what you can do with that set or group. I'm excited to learn more about this.
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