 Alright, so let's count. And why are we going through this? Well, again, how you talk, how you speak, influences how you think. And it's important to reflect on how we do actually count. So, to make that a little bit more clear, let's consider a set of a whole bunch of squares here, and how many things do I have in here. And I want to express that number in base 8, and for variety also in base 5. So, I'm going to get two different answers depending on whether I'm working in base 8 or base 5. So, in base 8, I have names for the cardinalities of 1 through 8. And I'm going to form sets of 8 if I can, because those sets of 8 will also serve as units. So, let's take a look at this, and so we might just color or circle a set of 8 as we find it. So, here's a set of 8, 1, 2, 3, 4, 5, 6, 7, 8. There's 8 of those squares. And if I look, well, there's another set of 8, and I have 4 squares left over. So, without coming up with new names, I could say, well, what I have here, I have 8, and 8, and 4. But because I'm working in base 8, then this set of 8 does or should at least have a name. So, in a fit of creativity, we'll call this set 8, and identify what we have in normal language. I might say that I have 2, 8, and 4. However, in deference to our colleagues in English who say that using the word and when naming a number is improper, except in certain circumstances, we'll say that the number that we have here is 2, 8, 4, and we won't actually say the and that everybody wants to put in there. So, the number of elements here, 2, 8, 4, and there's our name for that number. Well, if I'm working in base 5, I have days for the cardinalities of 1 through 5, and I want to look for those sets of 5. So, I'll look for a set of 5, and another, and another, and another, and that actually gets everything that we have, and I have 1, 2, 3, 4 sets of 5, and again, in a fit of creativity, I'm going to call a set of 5, which will be a unit in base 5. I'll call that a 5. And so, what do I have? I have 4 5s in the set. And there's my counting in base 8 and in base 5.