In this post, I will briefly describe a pleasant observation I made this morning about monads on a poset, that is, a partially ordered set. In order to get there, I will have to say what exactly are monads and posets.

Of course, I half-heartedly apologize for the double entendre, but really it is my hope that this post will be both a relatively cheap introduction to Galois connections and be of help, especially, to economists.

Claude Shannon, known as the father of information theory, is little known for his contribution to none other than…lattice theory. In this paper, Shannon introduces a metric lattice of discrete stochastic processes, but his information lattice makes sense in any setting where conditional entropy is well-defined. This paper is very short, only a half-dozen pages, but contains a numerous amount of insight into the ultimate question in his field: What is information, actually?

Claude Shannon, known as the father of information theory, is little known for his contribution to none other than…lattice theory. In this paper, Shannon introduces a metric lattice of discrete stochastic processes, but his information lattice makes sense in any setting where conditional entropy is well-defined. This paper is very short, only a half-dozen pages, but contains a numerous amount of insight into the ultimate question in his field: What is information, actually?

Of course, I half-heartedly apologize for the double entendre, but really it is my hope that this post will be both a relatively cheap introduction to Galois connections and be of help, especially, to economists.

In this post, I will briefly describe a pleasant observation I made this morning about monads on a poset, that is, a partially ordered set. In order to get there, I will have to say what exactly are monads and posets.

Claude Shannon, known as the father of information theory, is little known for his contribution to none other than…lattice theory. In this paper, Shannon introduces a metric lattice of discrete stochastic processes, but his information lattice makes sense in any setting where conditional entropy is well-defined. This paper is very short, only a half-dozen pages, but contains a numerous amount of insight into the ultimate question in his field: What is information, actually?