"Circularity" is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossible. Alongside mathematical revolutions that eventually led to the invention of the computer, the book describes ancient paradoxes that arise from circular thinking. Another aspect of circularity, its ability to entertain, leads to a surprising insight on the time old question "What is humor". The book presents the ubiquity of circularity in many fields, and its power to confuse and to instruct.
Ron Aharoni is a professor of mathematics at the Technion, Israel Institute of Technology. A previous book of his, Arithmetic for Parents, on his experience of teaching in elementary school, was a bestseller in several languages. His book Mathematics, Poetry and Beauty won the CHOICE Outstanding Academic Title 2015 award.
The Dark Side — Paradoxes:
The Mind–Body Problem
The Illuminated Side — Scientific Breakthroughs:
Large Infinities and Still Larger Ones
Godel's Incompleteness Theorem
Turing Invents the Computer
For the Experienced Hikers