## Sunday, February 24, 2013

### A Mathematical Theory of Meetings

Aquí tenemos una modela matemática para una reunión por Hans Freudenthal:

A meeting is an ordered set \begin{aligned} consisting of a bounded part $M$ of Euclidean space; a finite set $P$, that of the participants; two elements $c$ and $s$ of $P$ called chairman and secretary; a finite set $C_1$, called the chairs; a finite set $C_2$, called the cups of coffee; an element $b$, called bell; an injection $i_1$ of $P$ into $C_1$; a mapping $i_2$ of $C_2$ into $P$; an ordered set $S$, the speeches; a mapping $i_3$ of $S$ into $P$ with the property that c belongs to the image of $i_3$ \end{aligned} If $i_3$ is a surjection, it is usual to say that everybody has had the floor.
Encontré lo anterior mientras estaba leyendo el libro "The Mathematical Experience" y pensaba que está bastante  interesante compartir.