Lets build an universe , . I realize this blog post is the most 'psychedelic' up to now and for long time to go, but some 'poetry' never really hurts ...
We discussed already the worldmaker effectoring .
It is quite ancient but also exponentially growing business ... in all possible forms of science , faith  and art . This modeling  usually serves to play out what's possible and what's impossible. Gedanken eksperiment , yeah, but isn't all thought  merely algorithmic  and mere action  ?
Usually the posited universes are made of variations and combinations of substance/matter, structure/form and action/process rules. Though, the algorithmic component is always the essential ingredient. Yes, the Laws of Physics are full-fledged, literal algo , too. I have those conjectures that it is impossible to think out, make or discover (which is one and a same thing) a lifeless universe  and that substance-structure-action are inexctricable, but these are separate topic for some other times to address .
Lets put together ours toy-universe  out of only pure algorithm. I've never seen such a construct, although the Orbis Tertius  is enormous and I bet this vision have occurred gazillions of time in zillions of minds.
It is like an ocean. The primary coin-toss algo which outputs 0s and 1s  makes the water. We don't know (yet) if there are even deeper and more fundamental numerical bases  for running algos. Most probably the answer is yes by analogy with the Dirac Sea  - the deeps to be made of simpler and weaker algos. The most elementary coin-toss thing makes out the ... probabilistics, perhaps the primordial form of logic. The laws of physics (and of machine learning  and of darwinian evo algo  ...) tell the rule-set how to stitch together lotsa coin-toss outputs. A hint on inspiration for that - David Deutsch's Constructor theories . The laws of physics as entropy  limitation of the allowed elementary algo cumulative output. For information being a verb, not a noun - isn't it? Very interested philosophic perspective on algorithm as randomness constrictor  raise up...
So, if the Algoverse ocean water is made of elementary coin-toss molecules, being ''liquid'' is just another phase or aggregate state .
There is deep duality  between probabilistics and logic. Just like the zoo of dualities discovered in accelerating pace by the mathematical physics in the last decades  Probability/statistics we make now by logic , the reverse ... - well, nobody yet cracked it. Even Kolmogorov. But I bet we will. Most probably the breakthrough will be Ohad Asor name-labeled... To find the know-how to do it the other way round, do logic with probability/statistics. The statistical algorithmic - not the SAT , brute force, alchemist  way as with NN/ML ,  and other known beasts. This will be nothing less but full merger of maths/logic/philosophy/thought... and physics. Literally!
Excuse me for the haiku  simplification. It is deliberate due to realization of my grok constraints. :) Regard it as sharing a poetic impression.
Is there deeper and weaker algo than the digital - the radix-2, deterministic, unitary one? Intuition says ''yes, of course!'' Like with these radix-1 Half-coins  of negative and other non-unitary probabilities ... which take two tosses to yield a bit... and there must be transfinity  of lower ones, also transfinities of higher and sideways ones ... which is almost as counter-intuitive as Dirac's bottomless night of negative energy , but I bet also as much useful. (Lets not even touch numeral bases of Pi, i, e ... etc.), and lets stick to strictly binary 'water' for our oceanic toy-universe for the sake of sanity.
The next important notion of the Algoverse ocenic model is the Algorightmic strength  - the weakest algo would be that which takes infinity of tosses to get a full bit. The strongest?
Algorithmic ephimeralization  - essentially to do more with less. Or faster - Speed Prior  ... which is just another way to say 'more'.
Some algos are too strong - QM, M-Theory - they return way too much bits per 'toss'. Their vcdim  converges to infinity. Exponential walls  in all directions. Not exactly what Freeman Dyson had in mind ... In our ''mockup'' they could be depicted as too hot. Changing the phase of the elementary algo 'water'. Like.:
but because we are all for peaceful use of algorithmic energy - we reject those up here, too - together with the non-unitary statistics down there.
Last piece of the picture - the Algoverse ocean is habitable and inhabited!
By higher algos as life-forms, stronger - but not so strong to turn the 'water' into roaring steam or plasma.
Examples: Calculi , geometries, algebras ... software . The genetic inter-algo connection should be that calculus came from Leibniz and Newton and numerous unknown others ... heads, but it is the blind watchmaker  of evolution which put those heads together ... (I disagree with Dawkins only on that evolution and design are both algorithms, alternatives but not opposition).
Thus entropically  and combinatorially  algos kinda-sorta come from one another - the stronger from the weaker.
The stronger are the life-forms living in that ocean. Cause randomness  permeates everything, isn't it?
Not so far-fetched of a metaphor given the fact that any Effector-ing  has totally algorithmic nature and essence.
How much higher 'life form' Tauchain in the Algoverse ocean is?
Is it mere life form or ... life, new organizing principle to reform all the system?
''Thinking by Machine: A Study of Cybernetics''
by Pierre de Latil 
Published by Houghton Mifflin Company in 1957 (c.1956), Boston.
Foreword of Isaac Asimov (then only 36 years old) ! Recommendation by the legendary mathematician and cyberneticist Norbert Wiener (then 62 years old) ! ... A true jewel! The book is described as:
A review of "the last ten years' progress in the development of self-governing machines," describing "the principles that make the most complex automatic machines possible, as well as the fundamentals of their construction."
Nineteen fifties !! The midway between the first digital computer made by my half-compatriot John Atanasoff  and internet . Almost a human generation span between the former, the book and the later event. Epoch so deep in the past that even television, air travel, rockets and nukes ... were young then.
Same Kondratieff  wave phase btw, which hints towards the historical rhyming of socially important intellectual interests. (On how K-waves imprint on the humanity growth curve - in series of other posts to come).
I must admit here that I've never put my hands and eyes onto this book. But, it is stamped into my mind and memory by Stanislaw Lem  - one of the greatest philosophers of the XXth century, working under the disguise of a Sci-Fi writer, for being caught on the wrong side of the Iron curtain.
''Summa Technologiae'' (1964)  is a monumental work of Lem's, where most issues discussed sound more contemporary nowadays than they were the more than half a century ago when it was built, and for many things also we are yet in the deep past ...
... Lem reports and discussed the following from the aforementioned Pierre de Latil's book.:
''As a starting point will serve a graphic chart classifying effectors, i.e., systems capable of acting, which Pierre de Latil included in his book Artificial Thinking [P. de Latil: Sztuczne mys´lenie. Warsaw 1958]. He distinguishes three main classes of effectors. To the first, the deterministic effectors, belong simple (like a hammer) and complex devices (adding machine, classical machines) as well as devices coupled to the environment (but without feedback) - e.g. automatic fire alarm. The second class, organized effectors, includes systems with feedback: machines with built-in determinism of action (automatic regulators, e.g., steam engine), machines with variable goals of action (externally conditioned, e.g., electronic brains) and self-programming machines (system capable of self-organization). To the latter group belong the animals and humans. One more degree of freedom can be found in systems which are capable, in order to achieve their goals, to change themselves (de Latil calls this the freedom of the "who", meaning that, while the organization and material of his body "is given" to man, systems of that higher type can - being restricted only with respect to the choice of the building material - radically reconstruct the organization of their own system: as an example may serve a living species during biological evolution). A hypothetical effector of an even higher degree also possesses the freedom of choice of the building material from which "it creates itself". De Latil suggests for such an effector with highest freedom - the mechanism of self-creation of cosmic matter according to Hoyle's theory. It is easy to see that a far less hypothetical and easily verifiable system of that kind is the technological evolution. It displays all the features of a system with feedback, programmed "from within", i.e., self-organizing, additionally equipped with freedom with respect to total self-reconstruction (like a living, evolving species) as well as with respect to the choice of the building material (since a technology has at its disposal everything the universe contains).
Longish quote, but every word in it is a worth. When I've read this as a kid back in 1980es ... immediately came to my mind the next, the seventh logical higher effector class.: the worldmaker !!
The degrees of freedom of all the previous six according to the classical taxonomy of de Latil are confined by the rule-set, the local laws of physics.
They are prisoners of an universe. Like birds incapable to reconfig their cage into roomier and cozier ones.
If we regard the laws of nature as code or algorithm, my 7th level effector will be capable to draft and implement itself onto newer and stronger algorithmic foundations. ( Note the seamlessness between computation and robotics in Latil/Lem categorization construct - quite logical indeed, having in mind that software is state of hardware, that matter-form-action are inextricable from each other, but on this in series of other times and posts ... ). Without bond?
So, I wonder:
Where, you reckon, is Tauchain  placed onto the Latil's effectors map?
Logo by CapitanArt
Enlaces / Links
Logo by CapitanArt
Archivos / Archives
Suggested readings to better understand the Tau ecosystem, Tau Meta Language, Tau-Chain and Agoras, and collaborate in the development of the project.
Lecturas sugeridas para entender mejor el ecosistema Tau, Tau Meta Lenguaje, Tau-Chain y Agoras, y colaborar en el desarrollo del proyecto.