# Numbers

## Rational numbers

Posted by on Jun 7, 2013 in Blog, Numbers | 0 comments

In a previous post, I discussed the basic concept of number, beginning with natural numbers, or counting numbers. I am pursuing a notion here that certain kinds of numbers go together with certain kinds of operation. In the case of the natural numbers, the fundamental operation is counting. We begin with no thing and add one thing to it. The addition is equivalent to a count of one. Intellectually, if we have a set of, say, three items in front of us, and we are going to count them, we begin with nothing (“0”), then count “1”, then “2”, then...

## Maxwell’s Demon and counting

Posted by on Apr 18, 2013 in Blog, Numbers, Science | 0 comments

I have already written about Maxwell’s demon in a previous post some time back. Before going on with this post, unless you know the demon well, you should read that previous post. He is a most interesting wee beasty. In the early days of the demon, the notion was that he could decide which molecules had greater or lesser energy, and with this knowledge, decrease the entropy of the system by increasing the temperature of one side of the container and decreasing that of the other. By doing this without any expenditure of work, he violates the second law of thermodynamics. This operation...