# Johannes Kepler Symposium on Mathematics

As part of the Johannes Kepler symposium on mathematics
**Prof. Jean
Pederson**, Department of Mathematics and Computer Science, Santa Clara University ,
will give a public talk (followed by a discussion) on **Wed, June 29, 2005**
at **15:00 o'clock** at **HS 9**
on the topic of
"Paradoxes in Traditional Thinking"
. The organziers of the symposium,

Univ.-Prof. Dr. Gerhard Larcher

A.Univ.-Prof. Dr. Jürgen Maaß, and

die ÖMG (Österreichische Mathematische Gesellschaft),

hereby cordially invite you.

Series A - General Colloquium:

The intention is to present general information not only to experts, but also to students and guests from outside the mathematical institutes.

### Paradoxes in Traditional Thinking

The distinction between a genuine contradiction in mathematics and a paradox which exhibits the dangers of traditional ways of thinking is crucial to the understanding of mathematics. Moreover, such paradoxes should help students to acquire the ability to think (and perhaps even to behave) rationally. We give a number of examples of such paradoxes and also discuss a paradox of a different nature, one which lies at the heart of the relationship between pure and applied mathematics.

This talk is jointly given by Prof. Peter Hilton, Distinguished Professor Emeritus, State Univ. of Binghampton, New York and Distinguished Professor at the Univ. of Central Florida, Orlando, and Prof. Jean Pedersen, Santa Clara University, California.