Tag: causality

Monomania and the West

There have been all kinds of “voices” in the history of Western civilization. Perhaps the loudest voice is that of monomaniacs, who always claim that behind the appearance of the many is the one. If we illustrate the West, and at its roots, the intersection of Athens and Jerusalem, we see the origins of this monomania. Plato’s realm of ideas was supposed to explain everything encountered in our daily lives. His main student and rival, Aristotle, has his own competing explanation, based in biology instead of mathematics.

These monomanias in their modern counterpart in ideologies. In communism, the key to have everything is class and the resulting class struggles. Nazism revolves around race and racial conflict.

In our own era, the era of scientism, we have the idea of god replaced with Stephen Hawking’s “mind of god,” Leon Lederman’s The God Particle and KAKU Michio’s The God Equation. In the 2009 film, Angels & Demons, there’s a senior Vatican official, played by Ewan McGregor, who is absolutely outraged by the blasphemous phrase, “the god particle.”

Currently, the monomania impetus continues full-force. For example, Professor Seth Lloyd of MIT tells us that reality is the cosmos and not chaos, because all of reality together is a computer. His MIT colleague, Max Tegmark, argues in his books that the world is not explained by mathematics, but rather is mathematics. Perhaps the climax of this kind of thinking is given to us by the essay “Everything Is Computation” by Joscha Bach:

These days we see a tremendous number of significant scientific news stories, and it’s hard to say which has the highest significance. Climate models indicate that we are past crucial tipping points and irrevocably headed for a new, difficult age for our civilization. Mark van Raamsdonk expands on the work of Brian Swingle and Juan Maldacena and demonstrates how we can abolish the idea of spacetime in favor of a discrete tensor network, thus opening the way for a unified theory of physics. Bruce Conklin, George Church, and others have given us CRISPR/Cas9, a technology that holds promise for simple and ubiquitous gene editing. “Deep learning” starts to tell us how hierarchies of interconnected feature detectors can autonomously form a model of the world, learn to solve problems, and recognize speech, images, and video.

It is perhaps equally important to notice where we lack progress: Sociology fails to teach us how societies work; philosophy seems to have become infertile; the economic sciences seem ill-equipped to inform our economic and fiscal policies; psychology does not encompass the logic of our psyche; and neuroscience tells us where things happen in the brain but largely not what they are.

In my view, the 20th century’s most important addition to understanding the world is not positivist science, computer technology, spaceflight, or the foundational theories of physics.

It is the notion of computation. Computation, at its core, and as informally described as possible, is simple: Every observation yields a set of discernible differences.

These we call information. If the observation corresponds to a system that can change its state, we can describe those state changes. If we identify regularity in those state changes, we are looking at a computational system. If the regularity is completely described, we call this system an algorithm. Once a system can perform conditional state transitions and revisit earlier states, it becomes almost impossible to stop it from performing arbitrary computation. In the infinite case that is, if we allow it to make an unbounded number of state transitions and use unbounded storage for the states—it becomes a Turing machine, or a Lambda calculus, or a Post machine, or one of the many other mutually equivalent formalisms that capture universal computation.

Computational terms rephrase the idea of “causality,” something that philosophers have struggled with for centuries. Causality is the transition from one state in a computational system to the next. They also replace the concept of “mechanism” in mechanistic, or naturalistic, philosophy. Computationalism is the new mechanism, and unlike its predecessor, it is not fraught with misleading intuitions of moving parts.

Computation is different from mathematics. Mathematics turns out to be the domain of formal languages and is mostly undecidable, which is just another word for saying “uncomputable” (since decision making and proving are alternative words for computation, too). All our explorations into mathematics are computational ones, though. To compute means to actually do all the work, to move from one state to the next.

Computation changes our idea of knowledge: Instead of justified true belief, knowledge describes a local minimum in capturing regularities between observables. Knowledge is almost never static but progresses on a gradient through a state space of possible worldviews. We will no longer aspire to teach our children the truth, because, like us, they will never stop changing their minds. We will teach them how to productively change their minds, how to explore the never-ending land of insight.

A growing number of physicists understands that the universe is not mathematical but computational, and physics is in the business of finding an algorithm that can reproduce our observations. The switch from uncomputable mathematical notions (such as continuous space) makes progress possible. Climate science, molecular genetics, and AI are computational sciences. Sociology, psychology, and neuroscience are not: They still seem confused by the apparent dichotomy between mechanism (rigid moving parts) and the objects of their study. They are looking for social, behavioral, chemical, neural regularities, where they should be looking for computational ones.

Everything is computation.

Know This: Today’s Most Interesting and Important Scientific Ideas, Discoveries, and Developments, John Brockman (editor), Harper Perennial, 2017, pages 228-230.

Friedrich Nietzsche rebelled against this type of thinking the most profoundly. If scientism represents the modern, then Nietzsche was the prophet of postmodernism. Nietzsche’s famous phrase, “God is dead.” is not about a creator or divinity, but rather finality itself. There is no final explanation.

Problems of Perspective, Michel Foucault

Michel Foucault was one of the leading French philosophers of the 20th century. Often considered a postmodernist, he did not believe there was a final perspective that human knowledge could achieve. This immediately contrasts with the outlook of leading physicists like Stephen Hawking. In his 1988 classic, A Brief History of Time, Hawking concludes the book by saying, once science has achieved a theory of everything, which is not far off, we will “know the mind of god.”

In his 1966 key work, The Order of Things: An Archaeology of the Human Sciences (French: Les Mots et les Choses: Une archéologie des sciences humaines), Foucault argued that the so-called order of things is invented, not discovered, by us. This is contrary to scientific thought.

Foucault sets up this limit in his surprising interpretation of the Diego Velázquez masterpiece painting, Las Meninas (Spanish: The Ladies-in-waiting). The painting is deliberately elusive in its use of perspective.

The great German thinker, Jürgen Habermas, explained this Foucault/Velázquez perspective difficulty:

This picture portrays the painter in front of a canvas not visible to the spectator; the painter is evidently looking, as are the two ladies-in-waiting next to him, in the direction of his two models, King Philip IV and his spouse. These two personages standing as models are found outside the frame of the picture; they can be identified by the spectator only with the help of a mirror pictured in the background. The point that Velázquez apparently had in mind is a confusing circumstance of which the spectator becomes aware by inference: The spectator cannot avoid assuming the place and the direction of the gaze of the counterfeit but absent royal pair — toward which the painter captured in the picture gazes — as well as the place and the perspective of Velázquez himself, which is to say, of the .painter who actually produced this picture. For Foucault, in turn, the real point lies in the fact that the classical picture frame is too limited to permit the representation of the act of representing as such — it is this that Velázquez makes clear by showing the gaps within the classical picture frame. left by the lack of reflection on the process of representing itself.29

29. Foucault constructs two different series of absences. On the one hand, the painter in the picture lacks his model, the royal couple standing outside the frame of the picture; the latter are in turn unable to see the picture of themselves that is being painted — they only see the canvas from behind; finally, the spec­tator is missing the center of the scene, that is, the couple standing as models, to which the gaze of the painter and of the courtesans merely directs us. Still more revealing than the absence of the objects being represented is, on the other hand, that of the subjects doing the representing, which is to say, the triple absence of the painter, the model, and the spectator who, located in front of the picture, takes in perspectives of the two others. The painter, Velázquez, actually enters into the picture, but he is not presented exactly in the act of painting — one sees him during a pause and realizes that he will disappear behind the canvas as soon as he takes up his labors again. The faces of the two models can actually be recognized unclearly in a mirror reflection, but they are not to be observed directly during the act of their portrayal. Finally, the act of the spectator is equally unrepresented — the spectator depicted entering into the picture from the right cannot take over this function. (See Foucault, The Order of Things, pp. 3-16, 307-311.)

Critique and Power: Recasting the Foucault/Habermas Debate, Michael Kelly, editor, MIT Press, 1994, pages 67, 77 [archived PDF].

Let us conclude by saying one way of specifying the disagreement between scientists and these thinkers is that sciences see themselves as “objective” while the thinkers feel science lacks objectivity because of the human observer. Kant, centuries ago, argued that concepts like causality, space and time are imposed by the human mind on the world. Similarly, Heisenberg, in Physics and Philosophy: The Revolution in Modern Science, similarly said that science does not finally answer questions about an objective reality, but can only answer questions posed by us.

Education and Causality Changes

Scientific classification
Kingdom:Animalia
Phylum:Chordata
Class:Mammalia
Order:Primates
Suborder:Haplorhini
Infraorder:Simiiformes
Family:Hominidae
Subfamily:Homininae
Tribe:Hominini
Genus:Homo
Species:H. naledi
Binomial name:Homo naledi
Berger et al., 2015

The box above shows you, if you reflect for a moment, how involved and hierarchical taxonomy can be. The box refers to the tremendous fossil finds around 2013 outside Johannesburg, South Africa by Professor Lee Berger of Witwatersrand University and his team and associates in caves nearby.

The fossil finds are determined to be “homo” and not “australo” as you see in the table above (to the right of the word genus).

The PBS NOVA program “Dawn of Humanity” (2015), is about the story of these fossil finds and the interpretations of the finds which are deeply instructive for all knowledge-seekers, students, etc. because they leave behind any idea of a linear clearly branching “tree of life” in favor of the “bushiness” of evolution (no clear tree structure) and the whole process finally seen as a “braided stream.” This refers to a geological concept of the multiple pathways and reticulations of glacial ice and snow melt going down a mountain valley to a lake. The rivulets, channels, are crisscrossing in a “fluvial” flow pattern that is so complex one doesn’t know exactly which “exact” water went into the lake. If you say the lake is “homo sapiens” (humanity) and the swirling bushy tangled flow is the evolutionary raw material, some final causality is elusive.
When a “braided stream” (this kind of glacial water flow) metaphor gets fused with a “bushiness” one, then one sees that the random factors and endless crisscrossing obscures linear mono-causal explanations as we always imagined.

If you imagine a time when these concepts are applied to history, economy, and society you can begin to sense many “causality revolutions” in front of us where today’s textbooks will seem charmingly naive.

Every student, enrolled or not, should ponder the concepts of “braided stream” taxonomy (shown in the initial table above) and “bushiness” as opposed to tree structure. The student might also “walk around” these metaphors and ask what they imply for the “fractal geometry of nature” (a twig is like a little tree or branch on a bigger tree or branch and so on).