The End(s) of Knowledge

Can science understand literally everything? Can every mystery of nature eventually be explained given enough research attention and generous funding? Will our knowledge, supplemented by the power of AI, keep growing without bounds? Can truth be found in every raging academic debate? Much of the development of modern mathematics has been shaped -- consciously or not -- by trying to answer these questions. This book is meant to be an accessible and, hopefully, amusing exploration of the basic and fundamental mathematical principles that limit what can be known and understood. These principles demarcate the boundary fence of science which neither a human nor an artificial mind can see beyond.