From maths to culture towards an effective message

In a previous paper, presented at the IAC Congress of Toulouse 2001, I suggested for the first time to use analogy to communicate our cultural concept in a SETI communication. In particular, I showed that it is possible to communicate some basic concepts of our moral, religious and philosophical tradition using in an analogical sense some concepts coming from mathematics, science and also common experience. In the present paper I want to go further, discussing in a more detailed way the possible role of mathematics and mathematical logic in the construction of an analogy-based language for interstellar messages with a cultural content. In the next future the same analysis will be done about concepts coming from science and common experience.