The main message of this book seems to be that even when the time goes to infinity, there will still be limits to our knowledge. I didn't know what to expect but somehow I had expected something big or dramatic. The book has nothing like that.
My very shallow/simplistic summary: in Part I, we're limited by our horizon of the universe (and the speed of light) as we couldn't see beyond the horizon; in Part II, it's the quantum mechanical limits such as uncertainty principle and its probabilistic nature; in Part III, the limit here is the possibility that we may never understand our consciousness, not to mention if we're all in a gigantic simulation. The author has spent some time talking about the possibility that we're all part of a simulation and even if one can use the resources of the entire Universe, the no. of bits are still limited for the simulation. But this is all due to Seth Lloyd's calculation, which I vaguely remember that I've read from "Programming the Universe" before.
The author was in hurry to mention the BICEP2 result in Mar. 2014 in the footnote of p.131: "As this manuscript was going to press ...". Unfortunately, a few months later, we found (from the Planck experiment) that the B-mode polarization analysis of the BICEP2 experiment, which implied the occurrence of inflation, was spoiled by having not considered enough dust emission.
p.83 (7th from the bottom), I believe that "Homo sapiens sapiens" should be just "Homo sapiens". p.143 (19th line), "Chang dynasty" should probably be "Shang dynasty". p.300 (4th line), I think, "square of the temperature" should be "square of the velocity"....Continua