The problem with this idea is that pure bits (just 0's or 1's), can't be the fundamental level of reality since any bit is just a difference between two basic states, and always has to be implemented by these more basic states. Reality can't be made up of pure differences and that's all bits are. A bit is just "placeholder" or "pure difference structure" that needs to refer to something such as voltage in a computer.
The exciting notion is: if the PCE IS correct, it clearly marks the most profound effort of the human mind to comprehend the intracacies of complexity. I defy Wolfram's detractors to produce specific evidence to contradict the proposition of the Principle of Computational Equivalence. I personally witnessed Wolfram debate a quantum physicist about the merits of the PCE. The physicist had no idea how to metabolize Wolfram's theories. Wolfram's ideas are simply too general and too disruptive to the modern scientific paradigm.
But the physicist's repulsion can ultimately be understood. After all, Wolfram's ideas threaten the very notion of Science itself.
However, it is Science that must adapt to Wolfram - not the other way around.
And to the simpering, pathetic, myopic thinkers who dare scoff at this paradigm-shifting thesis - I challenge you to consider the implications that Wolfram's PCE might be correct. You will no doubt be terrified. In fact, you will most likely be incapable of even considering the PCE in a rational light.
THE SAD TRUTH IS THAT WOLFRAM'S IDEAS ARE FAR BEYOND THE VAST MAJORITY OF YOU. THOSE WHO REFUSE TO ACKNOWLEDGE THE PROFOUND IMPLICATIONS OF THE PCE ARE NOT JUST PARASITES ON THE PREVAILING MEME OF REDUCTIONISM BUT POOR SCIENTISTS AND IRRATIONAL THINKERS.
AND YOUR DAFT CYNICISM COULDN'T BE MORE HARMFUL AND RIDICULOUS.
AND YOUR INEXACT EVALUATIONS COULDN'T BE MORE TRANSPARENTLY INADEQUATE.
AND YOU WILL FAIL AT SUPRESSING THESE IDEAS.
AND HOPEFULLY YOU WILL CHOKE.
The book is far too long. The essential claims presented in it are fairly easily stated, clear, and not as surprising as they are made out to be. Further, many individuals who are only lightly mentioned and not documented contributed to the insights and methods on display.
Because he loves himself so well and values others so lightly, SW seems both grasping and greedy. Therefore, the net impression about WS's character is that he suffers from the arrested development of an indulged and talented child: he wants all the intellectual toys, even those with the names of other owners. While Wordsworth thought a man's reach should exceed his grasp, he did not encourage dreamers to mistake desire for mastery.
While the writing is usually clear, it is often repetitive, cliched, and self congratulatory. Indeed, the presentation is often as exhaustive and exhausting as the computer methodology employed. A strict editor would have been helpful.
If the egotism had been curtailed, the scope restricted to what the author knew best, credit given where it was merited, and the whole reduced by 80%, this volume would have been a much more successful. The pictures and diagrams were, I thought, both beautiful and interesting, and the volume is very generous in their presentation. Further, I think the book makes a very important contribution in its use of exhaustive computation to explore logical spaces, expand the general application of Godel's incompleteness theorem, and by suggesting the theoretical limits of definitively decoding inductive or deductive phenomena.
In short, I think this massive volume is worth selective admiration, but less would have been much more.
Think of the Computational Equvalence as a 4-corner class-room representing the 4-corners of Earth, wherein, stupid educators teach erroneous 1-corner self aggrandizing singularity- that equates a deadly poison to Equvalent humanity.
Creation is a Equvalence Princple, & you are too dumb to know. To ignore it, indicts you evil. God lets little children starve, so no adults are worth saving.
YOU are the lowest form.YOU can't procreate alone.YOU destroyed the village.YOU destroyed the family.YOU destroyed childhood.YOU destroyed naturalism.YOU don't know the Truth.YOU pitiful mindless fools,YOU are educated stupid.YOU worship inequivalent word.YOU are your own poison.YOU create your own hell.YOU must seek Computational Equvalence.