A Proof of Fermat’s Last Theorem Using Logical Association: An Elegant and Elementary Approach Rooted in 17th-Century Logic

Can a 350-year-old mathematical mystery be solved using the elegant simplicity of 17th-century logic? For centuries, Fermat's Last Theorem has stood as an subduable fortress in the world of mathematics. While Andrew Wiles' monumental 1994 proof stunned the academic community, its immense complexity and modern machinery left many wondering: did Pierre de Fermat truly possess a "marvelous proof" that could be understood through elementary means? In this groundbreaking work, Kakha Gogichaishvili presents a fresh, elegant, and accessible approach to this legendary problem. Utilizing the innovative "Logical Association Based on Divisibility" method-co-developed with prominent professors Merab Pkhovlishvili and Natela Archvadze-this book bridges the gap between pure arithmetic and formal logic. Written in clear mathematical prose, it demonstrates that even in the 21st century, monumental breakthroughs can be achieved without straying beyond the classical boundaries of Fermat's own era. A testament to 33 years of unwavering dedication, this book is not only a treatise for professional mathematicians but an inspiring journey for every lover of mathematics, reopening a historic door to new ways of logical thinking.