"CONSTITUTIONS D'OBJECTIVITÉ"

**GIOVANNI BONIOLO**,
Professeur de philosophie des sciences, Université de

Padoue (Italie) fera deux exposés lors d'un atelier exceptionnel
au CREA,

salle 315 (1, rue Descartes, 75005 Paris; entrée 25, rue
de la Montagne

Sainte-Geneviève).

Date: Le Jeudi 9 Juin 2005 après-midi

14h00: **TURING AND FIBONACCI:
FORM AND FUNCTION OF MATHEMATICS INTO THE BIOLOGICAL SCIENCES**

By reviewing some mathematical models, the use of mathematics
in the biological science is discussed. In particular it is shown
that same mathematical forms can have different functions from
both the biological and the philosophical point of view.

15h45: Pause

16h00: **VAGUENESS, KANT AND
TOPOLOGY**

An original approach to vagueness is proposed. It is characterized
by two features. The first one is philosophical: I move along
a Kantian approach emphasizing the knowing subject's conceptual
framework. The second one is formal: to face vagueness the introduction
of a formalism based on topology is suggested. I show that the
Kantian and the topological features joined together allow us
an atypical, but fruitful, way of considering vagueness.

17h30: Discussion générale