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Integers can have an arbitrarily large but finite number of digits. They cannot have an infinite number of digits. There is a big difference.
by crazyjimbo 16y ago
Integers can have an arbitrarily large but finite number of digits. They cannot have an infinite number of digits. There is a big difference.
- asmithmd1 16y agoI guess we are in the realm of cardinality of infinity which I don't quite get. I would think an infinitely big integer would have an infinite number of digits. So you are saying: log(infinity) < infinity
- hugh3 16y agoOnce again, there is no such thing as an infinitely big integer. You seem to be having difficulty with the fact that: 1. There are an infinite number of integers, but 2. Every integer is finite Start counting 1,2,3,4... Do you ever get to the end? No, this proves that there are infinitely many integers. But do you ever get to an infinite number? No, you'll stay in the set of finite integers forever.