Excellent, our first post!

Jose, great question. The intuitive idea behind a limit point is that $p$ is a limit point if there are other points (different than $p$) in the set "bunched up" around $p$. The phrase "bunched up" isn't rigorous and this is what the "every open interval" part of the definition is taking care of.

Let me give you an example of a point that is *not* a limit point. Take $M$ to be $\mathbb{N}$ (the set of natural numbers) and let $p=1$. Are there any points in $M$ other than $p$ that are contained in the open interval $(1/2,3/2)$? When you zoom in on $p$ in this case, it's pretty lonely relative to $M$.

As side note to those of you in class that have had no experience with wikis and $\LaTeX$ ("lay-tech"), you should pay attention to how I made use of proper mathematical notation. In particular, notice that every mention of "p" and "M" are in italics. In this case, I didn't actually use italics, but rather I used $\LaTeX$ (and there is a very good reason for doing this that I will explain sometime), which is a mathematical typesetting language that plays nice with the wiki. Here is snippet of what I actually typed above:

```
Let me give you an example of a point that is //not// a limit point. Take [[$M$]] to be
[[$\mathbb{N}$]] (the set of natural numbers) and let [[$p=1$]].
```

To briefly summarize, any string of math stuff, gets enclosed by double brackets and single dollar signs. There are special commands for various mathematical symbols. For example, `\mathbb{N}` produces $\mathbb{N}$ (assuming it is enclosed in brackets and dollar signs). The double brackets indicate a wiki command and the dollar signs indicate the use of $\LaTeX$. You can learn more about using $\LaTeX$ by looking at quick LaTeX guide. I'll talk more about using $\LaTeX$ as the semester progresses, but feel free to dive right in and experiment. I don't mind if you goof it up. One of the great things about the wiki is that we can fix it later.