Essays on Mathematical Reasoning

This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition. The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from the mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible to characterize the intended models of mathematical theories in a unique way?

Jerzy Pogonowski is a full professor at the Department of Logic and Cognitive Science, Faculty of Psychology and Cognitive Science, Adam Mickiewicz University in Poznan, Poland.