Ever since Galileo's time, scientists have been interested in how to create a perfect language capable of supporting communication at a horizontal level i.e. within the scientific community, and at a vertical level, i.e. between scientists and the public. Special attention will be spent on the mathematicians' role, especially Giuseppe Peano's. The Italian mathematician played a leading role in the creation of a perfect language, both at a horizontal and a vertical level. On the one hand, there is his successful attempt to introduce a standard logical and symbolic system of notation, which became essential for communication among mathematicians. On the other hand, there is the complete failure of his ambitious Latino sine flexione (Latin without inflection), a perfect language which died with its creator.

Theatrical action can bring out the value of the exhibits of a museum, while creating a new way of experiencing the exhibitions. Theatrical actions link education and entertainment, consequently becoming a highly effective didactic instrument. The advantages of theatre are briefly outlined, considering it as an interpretative technique to communicate science from the point of view of the goals pursued by museums, of epistemology and of theatrical research.

"Il ciclotrone" is the weekly science programme of "Radio Popolare - Popolare Network". During the last 12 years, once or twice a month listeners have been able to directly ask questions to the guest scientists in the studios, or to express their point of view on some controversial scientific issue. Phone-ins at Radio Popolare are not filtered; regular and occasional listeners are used to communicate with or through the radio, and in doing so they contribute to the sense of spontaneity which characterise the programmes.