Final answer:
Peter Berger did not specifically mention being 'mathematically inclined' as a trait of a sociologist; instead, he emphasized the importance of being curious and daring in the field of sociology.
Step-by-step explanation:
The characteristic that is not a trait of a sociologist according to Peter Berger is being 'mathematically inclined.' In his 1963 book 'Invitation to Sociology: A Humanistic Perspective,' Berger describes a sociologist as focused on understanding society in a disciplined way, naturally interested in the important and the mundane moments of people's lives, and possessing qualities like being intellectually curious and intellectually daring. These traits are essential for a sociologist to explore societal structures, processes, and issues. Whereas having a passion for human affairs, and the courage to question the status quo are fundamental, being 'mathematically inclined' is not highlighted by Berger as a prominent characteristic.