Friday, November 30, 2012

TED with and without the x

being inspired...
I love TED talks! It is amazingly cool to see very interesting people casually talk about what they are up to. And I especially love the sciency talks, where you get instant insights into cutting edge research, without having to be emerged into that particular community and without having to deal with the technical talk. However, I also appreciate the enormous breath of different speakers. You get to hear about stuff you never even knew exited.

I can't even say what my favorite TED talks are, because there are so many I like. If I would have to pick, I would choose these talks:
The "categories" I enjoy the most are science/technology, inspiration and activism. Lately however, I find the problem to be the overwhelming number of talks. That's why I like the newly introduced playlists. Recently TED scored 1 billion views.

Adding the x

TED grants licenses to third parties to organize independent TEDx events internationally. As of October 2012, more than 19'900 talks have been given at more than 5'088 TEDx events in more than 137 countries (source). This really gets the community thing going and inspires a distributed and global effort to share "ideas worth spreading".

TEDxZurich 2012

In 2010 the first TEDx event was launched in Zurich. On the 25th of October 2012, the third edition was organized. It was a fun and eventful day and my favorite talks can be categorized as follows.

Inspiration:
Inspiration and activism:
Science and technology:
Activism:
Aesthetics:
Inspiration:

Finally, this is the talk I gave about complex systems, economic networks and the study, The Network of Global Corporate Control:



More information can be found here:
Thanks @gklain, Ronald Slabbers, @lazyhotstepper and @kompostnyc for the help:)

Sometimes TED is accused of being an elitist thing. Indeed, when I applied to attend TEDXZurich 2010 I was rejected;) Now, on the one hand, there are only so many seats to fill and of course in Zurich the demand is way too big, forcing a selection process. On the other hand, it was a real pleasure to meet the really nice TEDxZurich crew. I experienced them as being modest and highly dedicated people, who really enjoy organizing this even, without seeking the spotlight or giving the event an air of superiority...

Thursday, October 11, 2012

the dreamer's dream

hard to conclusively rule out...

In the posts fabricating reality and on certainty I tried to argue that fundamentally we have no clue of what is really going on. That there are many cracks in the foundations on which our knowledge rests. And that reality could be radically different to what we like to imagine it is. If you think this is rather silly, if you think the world makes total sense when you wake up every day, consider the following.

In dream research, there is a phenomenon called false awakening. This means you first dream of waking up in a lucid dream before you really wake up. If you believe this is no big deal, think about the following words from Thomas Metzinger, a philosopher of the mind, who studies consciousness. He is talking from personal experience:
To wake up twice in a row is something that can shatter many of the theoretical intuitions you have about consciousness --- for instance, that the vividness, the coherence, and the crispness of a conscious experience are evidence that you are really in touch with reality.

The quote is taken from his recent book, The Ego Tunnel: The Science of the Mind and the Myth of the Self, where he incidentally goes to great lengths to assert that experiencing a self is an illusion and a construct of the mind.

This quote is reminiscent of the old story told by the Chinese philosopher Zhuangzi, called the butterfly dream.

Metzinger then goes on to provocatively ask:
So, how do you know that you actually woke up this morning? Couldn't it be that everything you have experienced was only a dream?

So, how do you know?

Thursday, August 30, 2012

on certainty...

crazy ramblings;-)
The question of certainty has been troubling people for a long time. "The more you know, the less you understand" (Lao Tse). "The only true wisdom is in knowing you know nothing" (Socrates). Or more recently:
It might be well for all of us to remember that, while differing widely in the various little bits we know, in our infinite ignorance we are all equal.
(Karl Popper, 1963)

However, to the modern enlightened mind this all sounds rather silly. Surely the amazing technological prowess of humanity, and the ever increasing speed of progression, is proof of our fundamental understanding of reality. Moreover also evidence that reality is indeed something tangible and comprehensible.

But is this really so?

Under closer inspection problems actually start to appear on at least four fronts: the nature of reality, the foundations of science, the consistency of formal systems and additional hints coming from modern neuroscience.


1.) 

The uncovering of realms of reality that are radically different to our classical and common-sense world doesn't help. Even if we have become used to ideas like wave-particle duality, superposition, entanglement (non-locality), uncertainty, the flow of time depending on velocity and gravity, an upper limit for the speed of light, discreetness of energy, etc. they are not very comforting notions.

Richard Feynman and Niels Bohr are both attributed to have said something like: those who are not shocked when they first come across quantum theory cannot possibly have understood it. Feynman even adds:
"I think I can safely say that nobody understands quantum mechanics."

"Modern physics has conquered domains that display an ontology that cannot be coherently captured or understood by human reasoning." the philosopher Ernst von Glasersfeld once remarked.

I believe these assertions are still relevant today. And it gets worse if we consider that we apparently are only aware of a fraction of what is going on in the universe. Like the mysterious stuff called dark matter that is estimated to roughly make up 25% of the universe. And dark energy, basically an anti-gravitational force associated with an energy content of empty space, is made responsible for the observed accelerated expansion of the universe (this observation won the physics Nobel Prize last year). This energy is estimated to make up 70% of the universe, although no one has a deeper understanding of what is really going on. So we are left with a humbling 5%, we call our universe.

And the apparent the fine-tuned nature of our universe (http://en.wikipedia.org/wiki/Fine-tuned_Universe) and ideas like the anthropic reasoning really start to ask big questions.

Even such fundamental notions as time appear problematic on closer inspection. For instance, most physical processes are thought to be time-symmetric. The best explanation for the perceived asymmetry in time, the arrow of time, is that the initial state of the universe had a very low-entropy. Which prompts the next question, which is an unsolved problem in physics: why was this so? And more bizarrely, the notion of time itself disappears in fundamental theories of physics.
See:
http://j-node.homeip.net/wfb/research%20archive/favorite/time.pdf
http://www.quantumphil.org/presentations/Is%20there%20time%20in%20the%20QW.pdf

Also, there are quite a few experiments appearing to show a violation of causality, a cornerstone of a reality that makes sense:
http://arstechnica.com/science/2012/04/decision-to-entangle-effects-results-of-measurements-taken-beforehand/
www.gapoptic.unige.ch/wiki/_media/publications:bib:pra42115.pdf

Perhaps things like these prompted physicists and philosopher, Heinz von Foerster, at the age of 90, to remark the following in an interview, when the interviewer, matter-of-factly, mentioned reality:
"Wo ist die Realität? Wo haben sie die?" ("Where is this reality? Where do you have it?")
http://www.youtube.com/watch?v=XSu3RZCgQpU#t=1h15m17s
(By the way, this excerpt is part of a very interesting documentary, called "Das Netz" by Lutz Dammbeck, about the Internet, the Unabomber, and LSD. See also:
http://video.google.com/videoplay?docid=-2987597553010783230)

Von Foerster also once said: "Objectivity is the illusion that observations are made without an observer."

The above mentioned issues all relate to the fundamental workings of reality; things we cannot directly observe. However, there is also the intrinsic tendency of the universe to spontaneously self-organize and form structures, on many scales, around us. The notion of emergence nicely points this out: as soon as isolated components start to interact and form a system, there is a new level of organization that appears, which is not visible in the characteristics of the components. The whole is literally more than the sum of its parts. Why reality has this feature and what is driving this organizational force is an open question.

And talking about open questions:
http://j-node.blogspot.ch/2010/04/few-questions.html


2.)

The edifice of science appears to be floating in empty space, lacking any foundation. Philosophical attempts like logical empiricism and critical rationalism failed to find ultimate justifications for science. It turns out to be very tricky to answer the questions, what a law of nature is and what constitutes knowledge.

"The foundations of physics have started moving [...] and this motion has caused the feeling that the ground would be cut from science" Werner Heisenberg once said.

Thomas Kuhn's very influential work on the history of science, called "The Structure of Scientific Revolutions", introduced the ideas of paradigm shifts and incommensurability. Over which Max Planck mused:
"New scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it".
And Steven Weinberg radically observed:
"If the transition from one paradigm to another cannot be judged by any external standard, then perhaps it is culture rather than nature that dictates the content of scientific theories".

The influential philosopher of science, Paul Feyerabend who spend his last years at the ETH in Zurich, claimed that there is no such thing as a scientific method. The slogan, "anything goes!", introduces his idea of scientific anarchy.

But wasn't science about logic, objectivity and rationality?
"The supreme task of the physicist is to arrive at those universal elementary laws from which the cosmos can be built up by pure deduction. There is no logical path to these laws; only intuition, resting on sympathetic understanding of experience, can reach them" Einstein once said.

Moreover, what is science? One could argue that a big part of science is about the "translation" of natural systems into formal thought systems, namely mathematics, and back. The mathematician John L. Casti writes in his book "Alternate Realities: Mathematical Models of Nature and Man":
"This book is about [...] the means for encoding specific realities into definite formal systems and the procedures for interpreting the properties of the formal system in terms of the given real world situation".

It appears deceptively simple, but at heart the mathematical framework of most physical theories deals with symmetry. Or invariance under symmetry transformations. See Emmy Noether's theorems in classical mechanics, for instance the requirement of invariance with respect to time (experiments should give the same results, regardless of when people chose to do the experiments) leads to the conservation of energy.

General relativity, a theory expressed in a geometric language (differential geometry) simply requires the invariance of objects (tensors) with respect to the choice of a coordinate system. This common-sense requirement, called covariance, combined with something called the equivalence principle, in principle suffices to derive the best theory of gravity we know of. And the remaining three forces of nature next to gravity are all expressed as quantum fields. It was an amazing achievement in the history of physics, that obviously unrelated forces could be unified into one overarching theory, called the standard model of particle physics. This unification was achieved by imposing a specific mathematical symmetry principle (gauge symmetry) and requiring invariance with respect to it. General relativity and the standard model are the most accurate physical theories known to us. Indeed, new particles were discovered solely motivated by the consistency requirements of the standard model.

After all the success, it is really a very big disappointment that still today we are no closer to having a unified theory of physics. Three decades ago, Stephen Hawking famously declared that a "theory of everything" was on the horizon, with a 50 per cent chance of its completion by 2000. In 2010 he gave up and now believes there is no such thing.

Again it is amazing, that such a simple idea, fusing gravity with the three quantum fields, would turn out to be such an intractable problem. All the string/M-theory hype, with its momentous framework of new mathematics, has fizzled out and we appear to be stuck with a deep puzzle with little to no experimental guidance. Interestingly, if the Higgs boson recently detected at the LHC turns out to be exactly the one predicted by the standard model, no new insights are gained. Only if it turns out to be a different kind of beast, there is hope that the universe is giving us an empirical hint in what direction the new physics, which we know must be out there, must lie.

All of this also begs for the question, why are formal thought systems, devised in the inner worlds of consciousness, so intricately and intimately related to the external reality we wake up in every day?

The Nobel Laureate Eugene Wigner, in his essay "The Unreasonable Effectiveness of Mathematics in the Natural Sciences", attempted an answer:
"[...] the enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and [...] there is no rational explanation for it."
"[...] it is not at all natural that 'laws of nature' exist, much less that man is able to discover them."
"[...] the two miracles of the existence of laws of nature and of the human mind's capacity to divine them."
"[...] fundamentally, we do not know why our theories work so well."
(http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html)

In the same vein more Einstein: "The most incomprehensible thing about the world is that it is comprehensible", "the fact that it is comprehensible is a miracle". Hawking wrote in "A Brief History of Time": "What is it that breathes fire into the equations and makes a universe for them to describe?"

More on laws of nature and the associated problems:

A 2010 workshop at the Perimeter Institute for Theoretical Physics was about "Laws of Nature: Their Nature and Knowability"
http://www.perimeterinstitute.ca/Events/Laws_of_Nature/Laws_of_Nature:_Their_Nature_and_Knowability/
The videos of the talks:
http://pirsa.org/C10001

A Scientific American blog post: "Deep in Thought: What is a 'Law of Physics' Anyway?"
http://blogs.scientificamerican.com/observations/2010/06/04/deep-in-thought-what-is-a-law-of-physics-anyway/

Indeed, there is another "miracle" that allows us to comprehend a big chunk of reality. It is concerned with the complex systems mentioned above in the context of emergence. Unfortunately, when things start to get complex, i.e., when there are many interacting agents, or if there are dissipative effects (like friction) leading to non-linear behavior, analytical expressions break down. Like the three body problem. Fascinatingly, when our formal systems fail or become impracticable, reality is kind enough to give us a big help: what looks like complex behavior in a system is the result of simple rules of interaction of its components. Like swarming behavior:
http://en.wikipedia.org/wiki/Swarm_behaviour#Models

There are many examples of simplicity on the micro level leading to emergent complexity on the macro level. Like Stephen Wolfram's cellular automaton rule 110, the only rule out of 256 possibilities that results in a pattern that is neither completely random nor completely repetitive. Or John Conway's Game of Life. Fractals, like the Mandelbrot set, are also defined by a very simple iterative equation, however, yielding an amazing amount of complexity and self-similarity. Things called multi-scale Turing patterns are reminiscent of structures found in biological systems.

The observation, that complexity comes from simple interactions, led Wolfram to exclaim the following:
"[The] results [that simple rules give rise to complex behavior] were so surprising and dramatic that as I gradually came to understand them, they forced me to change my whole view of science [...]."
"It took me more than a decade to come to terms with this result, and to realize just how fundamental and far-reaching its consequences are."

Wolfram is quite a remarkable character. A child prodigy and multimillionaire due to the development of Mathematica, arguably the most comprehensible mathematical software. Based on his insights working with cellular automata, he decided to write the massive and very controversial book "A New Kind of Science", claiming that physics has been misguided to follow an analytical, equation-based path and should focus more on the computational aspects of reality. It took him a decade to finish and it touches nearly every topic imaginable. Watch his TED talk called "Computing a Theory of Everything":
http://youtu.be/60P7717-XOQ


3.)

Mathematics also breaks down on closer inspection. The great mathematician David Hilbert optimistically set out to provide a secure foundation for all mathematics. However, very unexpectedly, Kurt Gödel proved with his incompleteness theorems that mathematics has holes in it. Basically, in maths (i.e., systems including basic arithmetic) there are statements that cannot be proven to be true or false. Like Georg Cantor's continuum hypothesis in set theory, where different "sizes" of infinity are analyzed (called the most important unsolved problem in mathematics by Hilbert). Gödel showed that you can never prove that the continuum hypothesis is false. Later Paul J. Cohen showed that you can never prove that the continuum hypothesis is true.

Unanswerable questions in what was thought to be the purest intellectual endeavor? This does not help either. Perhaps not very incidentally, many great mathematicians fell into the abyss of insanity. The BBC had an interesting documentary on this, called "Dangerous Knowledge", telling the tragic stories of Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing, who all committed suicide:
http://video.google.com/videoplay?docid=-8492625684649921614

It gets worse. Alan Turing showed that there are things that can never be computed. There are no instructions you can give a computer that will enable it to decide in advance whether a given program will ever finish its task and halt. To find out whether a program will eventually halt, you just have to run it and wait. He called this the halting problem.

And, finally, the death blow by mathematician and computer scientist Gregory Chaitin. He continued where Turing left off and showed that mathematicians can't actually prove very much at all.

Some of the sings he said:
"Doing maths is just a process of discovery like every other branch of science: it's an experimental field where mathematicians stumble upon facts in the same way that zoologists might come across a new species of primate."
"Mathematicians are simply acting on intuition and experimenting with ideas, just like everyone else."
"Most of mathematics is true for no particular reason."
"Maths is true by accident."
"Randomness is the true foundation of mathematics."
http://www-2.dc.uba.ar/profesores/becher/ns.html

Using Chaitin's incompleteness theorem one can demonstrate Gödel's second incompleteness theorem:
"So if we could prove math is consistent, we'd know it's not!"
http://johncarlosbaez.wordpress.com/2011/10/06/chaitins-theorem-and-the-surprise-examination-paradox/

So anarchy, not order, is also at the heart of mathematics.


4.)

Finally, I would like to add modern neurosciences. One thing is that perception is less about a passive recording of reality but more about an active construction of it. For instance, things like selective attention  (I love the gorilla video http://youtu.be/vJG698U2Mvo), synaesthesia, chronostasis and the McGurk effect.

A multitude of optical illusions reveal that even a supposedly simple task, like seeing color, is in fact highly context-dependent and a constructed sensation. "The sky isn't actually colored at all. Rather, it's your mind that's colored." researcher Beau Lotto explains here. In more detail:
And yet color is the simplest sensations the brain has. What may surprise you is that even at this most basic level we never see the light that falls onto our eyes or even the real-world source of that light. Rather, neuroscience research tells us that we only ever see what proved useful to see in the past. Illusions are a simple but powerful example of this point. Like all our perceptions, we see illusions because the brain evolved not to see the retinal image, but to resolve the inherent 'meaninglessness' of that image by continually redefining normality, a normality that is necessarily grounded in relationships, history and ecology. Which is why we innately find regularities in information and reflexively imbue those regularities with value. But it is the value, not the information itself we see. So, tomorrow morning when you open your eyes and look "out into" the world, don't be fooled. You're in fact looking in. You're not seeing the world covered in a blue blanket at all; you're seeing a world... an internal map of value-relations derived from interactions within a particular, narrow context.

Lotto muses: "indeed, to literally 'see yourself see' is in my view the principle act of consciousness, which has the power to transform one's view of the world and of oneself". He also advocates the postmodern concepts (see more below) of uncertainty and readjustments: there is constant conflict and ambiguity in our perception of reality, and the core concept is actively redefining normality, effectively celebrating uncertainty.

Prompted by Lotto's TED talk, others commented in the same vein in this feature by the Huffington Post. For instance Ben Thomas:
In light of all this, it's hard to escape the inventor Ray Kurzweil's conclusion: "We don't actually see things [at all]; we hallucinate them in detail from low-resolution cues." As Beau Lotto explains in his presentation, we're hallucinating reality all the time -- but we only take notice when our hallucinations fail to make accurate predictions; when we think we're certain of something that's actually not so certain, and our brains have to hunt down new information in order to make better predictions.

And again the theme of uncertainty:
Claude Shannon once said, "Information is the resolution of uncertainty." The more certain we are in our hallucinations, the less information we think we need -- and the less open to new information we become. Beau Lotto finishes his talk on a similar note. "Only through uncertainty," he says, "is there potential for understanding."

Also enforced in this context by Tom Cornwall:
We all like to think that we are right. And we will often go to great lengths to persuade others that our view is the right view. But what Beau Lotto reveals in his powerful TEDTalk on optical illusions is that the reality is very different. He shows that our reality is merely a perception and, as Beau puts it, "the light that falls on your eye is meaningless". Or in other words what we see is merely our perception of reality. What's interesting is not just the way in which our mind can be tricked by these playful optical illusions but also how this affects our day-to-day decisions, our behavior and the world we live in.

He goes on to give examples of how simply changing the font color in tests measurably influence the outcomes. More of this can also be found in Daniel Kahneman's, book Thinking, Fast and Slow.
He is a Nobel Laureate and founder of behavioral economics. Fellow behavioral economist Dan Ariely has also written a lot about this.

But this is only the tip of the iceberg. The ideas become a lot more radical. Like Thomas Metzinger, a philosopher of the mind, who goes to great lengths to assert that experiencing a self is an illusion and a construct of the mind, in his recent book The Ego Tunnel: The Science of the Mind and the Myth of the Self.

Finally, we have only talked about "normal" perception. Neuroscientist David Eagleman has the following to say. First regarding this normal mode of perception:
You're not perceiving what's out there. You're perceiving whatever your brain tells you.

We do not see with our eyes but rather with our brains.

Our brains sample just a small bit of the surrounding physical world.

This is all why we would never "stop to think that there is more beyond what we can sense."

Instead of reality being passively recorded by the brain, it is actively constructed by it.

There are thoughts you cannot think.

The exact levels of dozens of neurotransmitters are critical for who you believe yourself to be.

He then continues:
Waking perception is something like dreaming with a little more commitment to what's in front of you.

What we call normal perception does not really differ from hallucinations, except that the latter are not anchored by external input. 

This also implies that consciousness-altering drugs create a reality which is actually just as "real" as "reality" itself.  Aldous Huxley , author of The Doors of Perception, once answered an interview question about who should try LSD with:

Well I think the people who would benefit most of all are professors. I think it would be extremely good for almost anybody with fixed ideas and with a great certainty about what's what to take this thing and to realize the world he's constructed is by no means the only world. That there are these extraordinary other types of universe.

Regarding dreams, Metzinger also has something interesting to say, namely about the experience of dreaming about waking up.

Following is a selection of research highlighting how our minds shape reality.

The classic "rubber hand experiment" where an artificial hand is incorporated into one's body perception:
http://www.psychology.mcmaster.ca/bennett/psy720/readings/m5/botvinick.pdf

And its extension to the perceptual illusion of body swapping:
http://www.plosone.org/article/info:doi%2F10.1371%2Fjournal.pone.0003832

Beliefs, moral, ethics, trust and social behavior can all depend on what molecules are present in the brain at a certain time:
(Kosfeld et al., 2005) or Paul Zak "Trust, Morality - and Oxytocin":
http://www.youtube.com/watch?v=rFAdlU2ETjU
and
(Crockett et al., 2008) or Molly Crockett "Drugs and Morals":
http://www.youtube.com/watch?v=1_-2wOnkc_k

The idea of "synthetic happiness", the ability of the mind to construct experiences of happiness, by the psychologist Dan Gilbert. Watch his TED talks:
"Why Are We Happy? Why Aren't We Happy?":
http://www.youtube.com/watch?v=LTO_dZUvbJA
"Exploring the Frontiers of Happiness":
http://www.youtube.com/watch?v=c-4flnuxNV4
Or the former biologist Matthieu Ricard, now a Buddhist monk, on "Habits of happiness":
http://www.youtube.com/watch?v=vbLEf4HR74E

And motivation. For instance, Dan Pink's "The Surprising Truth About What Motivates Us":
http://www.youtube.com/watch?v=u6XAPnuFjJc

Experience of pain and pleasure can depend on the context, for instance, tasting the same wine three times, but experiencing more pleasure if you thought it was expensive:
http://www.pnas.org/content/105/3/1050.full.pdf

The placebo and nocebo effects:
http://www.wired.com/medtech/drugs/magazine/17-09/ff_placebo_effect?currentPage=all

The Dunning-Kruger effect that shows that unskilled individuals suffer from illusory superiority, mistakenly rating their ability much higher than average:
http://www.youtube.com/watch?v=XyOHJa5Vj5Y

A very interesting TED talk by Kahneman on happiness and memory, called "The Riddle of Experience vs. Memory":
http://www.youtube.com/watch?v=XgRlrBl-7Yg

And Ariely on human irrationality:
"Why We Think It's OK to Cheat and Steal (Sometimes)":
http://www.youtube.com/watch?v=nUdsTizSxSI
"Are We in Control of Our Decisions?":
http://www.youtube.com/watch?v=9X68dm92HVI

Or the power of memes by philosopher Dan Dennett:
"Ants, Terrorism, and the Awesome Power of Memes":
http://www.youtube.com/watch?v=KzGjEkp772s


Epilogue

But what is really going on here? Perhaps a clue comes from Robert M. Pirsig's book "Zen and the Art of Motorcycle Maintenance", which the author warns should not be associated with Zen Buddhism and is not very factual about motorcycle maintenance either. Before becoming a widely acclaimed bestselling novel, it was rejected by over hundred publishers. It is a personal story of how the author ends up experiencing a severe psychotic episode, after trying to understand what the concept "quality" really means. It also deals a lot with the philosophy of science. Pirsig argues that the closer one examines a phenomenon, the more perplexing it becomes:
"The more you look, the more you see. [...] as you try to move toward unchanging truth through the application of scientific method, you actually do not move toward it at all. You move away from it! It is your application of scientific method that is causing it to change!"

This apparent feature of reality, that every explanation opens the door to new problems, has also been noted by many others.

"The deeper an explanation is, the more new problems it creates" David Deutsch says in his current book "The Beginning of Infinity".

Or Karl Popper's eloquent assessment:
"I think there is only one way to science - or to philosophy, for that matter: to meet a problem, to see its beauty and fall in love with it; to get married to it and to live with it happily, till death do ye part - unless you should meet another and even more fascinating problem or unless, indeed, you should obtain a solution. But even if you do obtain a solution you may then discover, to your delight, the existence of a whole family of enchanting, though perhaps difficult, problem children."

The physicist and mathematician Freeman Dyson said:
"Gödel's theorem implies that pure mathematics is inexhaustible. No matter how many problems we solve, there will always be other problems that cannot be solved within the existing rules. [...] Because of Gödel's theorem, physics is inexhaustible too. The laws of physics are a finite set of rules, and include the rules for doing mathematics, so that Gödel's theorem applies to them."

So perhaps the quotes of Lao Tse and Socrates at the beginning of this text are not so naive after all. Bertrand Russell, philosopher, logician, mathematician and historian, rephrased this sentiment:
"One of the painful things about our time is that those who feel certainty are stupid, and those with any imagination and understanding are filled with doubt and indecision."

Indeed, Kahneman added a modern update in his recent book Thinking, Fast and Slow:
"Our comforting conviction that the world makes sense rests on a secure foundation: our near unlimited ability to ignore our ignorance."

In essence, reality, the mind and knowledge are all radically dynamic, interacting and constantly changing entities. Absolutes are illusions.

In my eyes, postmodernism really captures this sentiment. Although a notoriously hard concept to define, its a belief that many varying opinions and forms can coexist and all find acceptance. Core ideas being diversity, differences and intermingling. Postmodernism in real life: Sarah Kay's TED talk If I should have a daughter is about making a list of 10 things you know to be true and comparing it with enough other people's list, and finding that:
  • someone has the exact same, or very similar, thing as something on your list (affirmation)
  • someone has the complete and total opposite to something you know is true (dissonance)
  • someone has something you have never even heard of before (novel thoughts)
  • someone has something you thought you knew everything about, but they are  introducing a new angle to look at it (limited scope)
In his epic book The Passion of the Western Mind (one of the most amazing books I have ever read) Richard Tarnas summarizes the last 3000 years (or so) of Western culture:
The Greek world view -> the Christian world view -> the transformation of the medieval era -> the modern world view (Renaissance, Reformation, Scientific Revolution) -> the transformation of the modern era (the crisis of modern science, existentialism and nihilism).

Finally, the last chapter called "The Postmodern Mind" reads:
"There is an appreciation of the plasticity and constant change of reality and knowledge, a stress on the priority of concrete experience over fixed abstract principles, and a conviction that no single a priori thought system should govern belief or investigation. It is recognized that human knowledge is subjectively determined by a multitude of factors; that objective essences, or things-in-themselves, are neither accessible nor possible; and that the value of all truths and assumptions must be continually subjected to direct testing. The critical search for truth is constrained to be tolerant of ambiguity and pluralism, and its outcome will necessarily be knowledge that is relative and fallible rather than absolute or certain." 
The whole chapter:
http://www.mfarnworth.com/450Readings/Postmodernmind.htm

To summarize, perception doesn't necessarily say much about the world around us and consciousness can fabricate "reality". I am sometimes surprisingly unfree in my choices and decisions without having the slightest clue about these constraints. Reality is a very dynamic but bizarre place. And somehow there is a mysterious link between the workings of the outer reality and the inner reality I am conscious of.

I believe this all makes it very hard to be certain about many things. Regardless of how strong my belief about something is, I could be fundamentally wrong and never know it. I could be missing a crucial part of the puzzle, the knowing of which could change everything. Personally, these notions force me to be open to ideas. Although, I would follow Richard Feynman advice: "Keep an open mind but not so open that your brain falls out".

And perhaps being wrong isn't such a terrible thing after all. Author Kathryn Schulz "On being Wrong":
http://www.youtube.com/watch?v=QleRgTBMX88

And trial and error could be far more important tools for the progression of knowledge than we appreciate. Economist Tim Harford about "Trial, Error and the God Complex":
www.youtube.com/watch?v=K5wCfYujRdE


On the Horizon

So where does all this leave us? Isn't there something that at least gives us a hint about the nature of existence? Perhaps things start to make a little more sense if we allow for two radical paradigm shifts: the universe is a.) fundamentally computational in nature and b.)  consciousness participates fundamentally in its workings.


a.)

Information theory, especially quantum information, appears to be a very fundamental aspect of reality. Relativity is essentially about the transmission of information. Quantum theory is at heart about extracting information from reality: the information you receive depends on how you gather that information.

Claude Shannon was the first to rigorously define the fuzzy concept of information. His development of classical information theory opened the door to our Information Age: DCs, DVDs, cell phones, modems, computer networks, hard drives, memory chips, MP3 encryption, HD TV rely on the insights discovered in Shannon's theory.

In essence, he quantized information and boiled it down to an irreducible entity, the bit. This allowed for the compression of information, coding and virtually error-free communication, something the engineers of the time thought was impossible.

A nice historical account of how Shannon discovered information theory can be found here:
http://dspace.mit.edu/bitstream/handle/1721.1/39429/54526133.pdf

There is a community of physicists who posit that information is the deepest level of reality. The idea is termed "digital physics". Carl Friedrich von Weizsäcker belongs to this club. And the physicist John Archibald Wheeler said:
"[...] it is not unreasonable to imagine that information sits at the core of physics, just as it sits at the core of a computer."
"'It from bit.' Otherwise put, every 'it' --- every particle, every field of force, even the space-time continuum itself --- derives its function, its meaning, its very existence entirely --- even if in some contexts indirectly --- from the apparatus-elicited answers to yes-or-no questions, binary choices, bits. 'It from bit' symbolizes the idea that every item of the physical world has at bottom --- a very deep bottom, in most instances --- an immaterial source and explanation; that which we call reality arises in the last analysis from the posing of yes-no questions and the registering of equipment-evoked responses; in short, that all things physical are information-theoretic in origin [...]."

This opens up new perspectives for the understanding of the quantum level of reality. The ETH recently appointed two young scientists to head the new quantum information theory group:
http://www.qit.ethz.ch/
http://www.itp.phys.ethz.ch/people/renner/index
http://www.itp.phys.ethz.ch/people/christandl/index

A first public lecture of theirs was entitled: "Information als Grundbaustein des Universums?" (Information as Elementary Building Block of the Universe?). (Unfortunately, I forget the answer;-)

Others introduce the idea of (quantum) "information causality" and allege:
"We suggest that information causality --- a generalization of the no-signalling condition --- might be one of the foundational properties of nature."
http://adsabs.harvard.edu/abs/2009Natur.461.1101P

I also believe that Anton Zeilinger, a pioneer in entanglement experiments, sees information as the deepest level of reality.

Indeed, the notion of information can get pretty weird. Like Rolf Landauer's erasure principle (if information is lost, entropy goes up; this is relevant in the context of Maxwell's Demon).
http://en.wikipedia.org/wiki/Landauer%27s_principle

Note that Chaitin's incompleteness theorem revolves around the notion of information, as well.

More along these lines of thought in Charles Seife's book, "Decoding the Universe", where the author argues for a new law of nature: information can neither be created nor destroyed.

More radically, digital physics also says that the universe is either a computer (literally), or that reality is the output of a computer program, i.e., a simulation. While this sounds like sci fi, and reminds us of the Matrix trilogy, notable scientists are suggesting this. Like Stephen Wolfram in "A New Kind of Science", David Deutsch (with the Church-Turning-Deutsch principle, that states that a universal computing device can simulate every physical process).

Or MIT "quantum engineer" Seth Lloyd who, in his book "Computing the Universe", claims that the universe is a quantum computer and that all interactions are essentially computations. In fact, he proved that "the universe is indistinguishable from a quantum computer".

Moreover:
"The computational capability of the universe explains one of the great mysteries of nature: how complex systems such as living creatures can arise from fundamentally simple physical laws."

Here he calculates the ultimate physical limits to computation:
http://arxiv.org/pdf/quant-ph/9908043v3.pdf

More on Lloyd:
http://www.edge.org/3rd_culture/lloyd2/lloyd2_index.html

Cosmologist Max Tegmark's "The Mathematical Universe" says "all structures that exist mathematically exist also physically":
http://arxiv.org/abs/0704.0646


b.)

I find this an extremely radical idea, with groundbreaking implications. It goes under the name of the participatory epistemology or theory and is a conceptual framework which attempts to bridge the subject-object distinction. In essence, meaning is only derived at the focal point of interaction of the human mind with the world.

While similar ideas in Western culture go back to Goethe and Kant, in Eastern cultures this notion has been more prevalent. The historical Buddha is attributed with saying "it's your mind that creates the world". Also the New Age movement has similar concepts. For instance, in Neale Donald Walsch's writings, the idea that thoughts directly create reality are a central element.

In the quote by Wheeler seen above, the ending was missing. The full quote ends with:
"[..] in short, that all things physical are information-theoretic in origin and that this is a participatory universe."
Here he is thinking about the measurement problem in quantum mechanics and how observations influence the universe at the most fundamental levels. From the quantum perspective the universe is an extremely interactive place.

In the personal epilogue of Tarnas' "The Passion of the Western Mind", he claims:
"The consensus is decisive: The world is in some essential sense a construct. Human knowledge is radically interpretive. There are no perspective-independent facts. Every act of perception and cognition is contingent, mediated, situated, contextual, theory-soaked. Human language cannot establish its ground in an independent reality. Meaning is rendered by the mind and cannot be assumed to inhere in the object, in the world beyond the mind, for that world can never be contacted without having already been saturated by the mind's own nature. That world cannot even be justifiably postulated. Radical uncertainty prevails, for in the end what one knows and experiences is to an indeterminate extent a projection."

He then goes on to talk about knowledge and the unconscious, Freud, Jung and Stanislav Grof's discoveries related to LSD, namely his pre- and perinatal psychology and how this is important in the context of the participatory epistemology.

Finally, he concludes:

"[...] the human mind is ultimately the organ of the world's own process of self-revelation."

"Nature's reality is not merely phenomenal, nor is it independent and objective; rather, it is something that comes into being through the very act of human cognition. Nature becomes intelligible to itself through the human mind."

"I believe there is only one plausible answer to this riddle [related to the philosophy of science, genuine knowledge, Popper, Kuhn and Feyerabend], and it is an answer suggested by the participatory epistemological framework outlined above: namely, that the bold conjectures and myths that the human mind produces in its quest for knowledge ultimately come from something far deeper than a purely human source. They come from the wellspring of nature itself, from the universal unconscious that is bringing forth through the human mind and human imagination its own gradually unfolding reality. In this view, the theory of a Copernicus, a Newton, or an Einstein is not simply due to the luck of a stranger; rather, it reflects the human mind's radical kinship with the cosmos. It reflects the human mind's pivotal role as vehicle of the universe's unfolding meaning. In this view, neither the postmodern skeptic nor the perennialist philosopher is correct in their shared opinion that the modern scientific paradigm is ultimately without any cosmic foundation. For that paradigm is itself part of a larger evolutionary process."

The epilogue can be found here:
http://www.gaiamind.org/Tarnas.html

But even if the human mind doesn't literally create reality, it is still a great force and a never ending source of inspiration: Amy Purdy, "Living Beyond Limits"
http://www.youtube.com/watch?v=N2QZM7azGoA


(The contents of this blog post has evolved from Appendix A here and here and is a more verbose version found in the video Fabricating Reality)

Monday, July 2, 2012

inspirational people...

quote of the day...
Elyn Saks is Associate Dean and a professor of Law, Psychology, Psychiatry and Behavioral Sciences and an expert in mental health law [Wikipedia].

She also suffers from schizophrenia. The following quote is taken from her recent, moving TED talk, embedded below.

Let's start with the definition of schizophrenia. Schizophrenia is a brain disease. It's defining feature is psychosis, or being out of touch with reality. Delusions and hallucinations are hallmarks of the illness.

Delusions are fixed and false beliefs that aren't responsive to evidence and hallucinations are false sensory experiences.

This makes me wonder. How many of my own beliefs are in fact slightly delusional? How can I know my sensory experiences are faithful representations of the world? In other words, if we could measure the state of people's minds in increments, wouldn't in fact very many people qualify by this definition to some extent?

And what exactly is this reality that people experiencing psychotic episodes are said to be out of touch of? Respectively, what reality are they experiencing?

Especially contemplating the following:
fabricating reality, the brain: alien processes running under the hood (part i), the brain: our two cognitive minds (part ii).


Monday, May 14, 2012

decoding complexity

complex systems update
I was recently asked to write something about the study The Network of Global Corporate Control in The Montreal Review. This is what I came up with...




***

DECODING COMPLEXITY

THE ORGANIZING PRINCIPLES BEHIND OUR ECONOMY

***

By James Glattfelder

***

The Montreal Review, April 2012

***

"We spend billions of dollars trying to understand the origins of the universe, while we still don't understand the conditions for a stable society, a functioning economy, or peace."

Dirk Helbing, Professor of Sociology at ETH in Zurich (source)

***

It sounds paradoxical, but today it appears that we understand more about the universe than our society. We have created systems, that have outgrown our capacity to genuinely understand and control them. Just think about the Internet or the financial markets.

On the one hand, we are drowning in data. In 2007 Wired magazine heralded the arrival of the "Petabyte Age", plagued by the data deluge. Endless streams of data are continually flowing along global information super-highways, being stored in countless server farms around the world. On the other hand, while data can be mined and its potential harnessed, the biggest obstacle in understanding our own constructed socio-economic world has been nearly invisible. It came in the guise of a weltanschauung and is being currently conquered by a paradigm shift in understanding.

Our traditional ways of thinking and problem solving have been strongly shaped by the success of the reductionist approach taken in science. The fabric of the universe is broken down into its constituents, who's interactions are described by four fundamental forces. Information is boiled down to an irreducible physical entity: the bit. This thinking has been at the heart of the Scientific Revolution and the dawning of the Information Age, unlocking spectacular technological prowess. Put in the simplest terms, the focus has been on "things". Tangible, tractable and malleable.

Not so long ago, it was realized that there is an other, a more subtle dimension to our reality: things are not isolated! Ideas like interconnection, co-dependence and collective dynamics entered the stage. Indeed, this is the aspect of our world that has changed most in the past decades. While the things themselves still look pretty much the same, they have become highly networked and interdependent. The tools to grapple with this new era come from the field loosely known as complexity science.

In 1972 the Nobel laureate P. W. Anderson wrote an influential article in Science, planting the seeds for this new science, emerging from systems theory and cybernetics:

"At each stage [of complexity] entirely new laws, concepts, and generalizations are necessary [. . .]. Psychology is not applied biology, nor is biology applied chemistry."

Understanding a systems components' individual properties does not bring insights into how the system will behave as a whole. Indeed, the very concept of emergence fundamentally challenges our knowledge of complex systems: self-organization allows for novel properties to emerge, features not previously observed in the system or its components. The whole is literally more than the sum of its parts.

Although the paradigm shift, moving away from reducing to components towards analyzing interactions, seems to entail hopelessly complicated systems, it is a notable fact that also complex systems are characterized by laws and regularities. Most prominent are scaling-law distributions, also called power laws. Like a normal distribution, it quantifies what the frequency of an observed trait in a population is. Scaling-law distributions have been observed in an extraordinary wide range of complex systems: from physics, biology, earth and planetary sciences, computer science, demography and finance to the social sciences. In a nutshell, a scaling law says: most components are unimportant, very few are very important.

Regarding economics, already in 1897 V. Pareto observed that household income is distributed according to a scaling law. Called the Pareto principle, or the 80-20 rule, this still holds today. The aphorism introduced at the end of the last paragraph has a whole new quality, now that it describes the realm of human affairs: nearly all have very little and very few have very much. Suddenly a general organizing principle of reality has an unjust and undemocratic feel to it.

The Network of Global Corporate Control 

A recent example uncovering the patterns in an economic system, raising the issues of concentrated power, systemic risk and market competition, is the study: The Network of Global Corporate Control [1].

Complex systems find a natural formal representation as networks, where the links describe the interaction structures. The study of complex networks has been extremely fruitful in the past decade and has uncovered many features of the physical, biological and social worlds. This is quite remarkable, as complex systems are usually very hard to understand employing mathematical equations, i.e., applying the standard scientific approach.

In the study, ownership data of 30 million economic agents (i.e., natural persons, foundations, government agencies, listed and unlisted companies, etc.) from early 2007, located in 194 countries, was analyzed. By focusing on the 43,000 transnational corporations (TNCs) in the sample, a network was constructed with 600,000 nodes and 1,000,000 links (all numbers are approximations).

Already the topological structure of this ownership network reveals a surprising organizational structure. Whereas 64% of the TNCs are distributed among many small isolated clusters of a few nodes, the remaining 36% are located in a single giant connected network of 460,000 nodes. Interestingly, this minority of TNCs accounts for 94% of the total operating revenue of all TNCs. Moreover, the 460,000-node network has a tiny but distinct core of 1,300 nodes, seen in Figure 1.

Figure 1 (PLoS ONE)

By introducing a methodology that estimates the potential degree of control resulting from a network of ownership relations, it is possible to identify the most important nodes. It turns out that 730 top shareholders are able to control 80% of the operating revenue of all TNCs. Furthermore, combining the knowledge of the topology with the ranking of shareholders, it is revealed that the 1,300 nodes in the core are comprised of the most powerful nodes in the network: the top economic agents are interconnected and do not carry out their business in isolation (a small excerpt is given in Figure 2). Finally, the core is able to gain 39% of the potential control.

Although these numbers show an unprecedented high level of concentration, simulations suggest that this could all be the result of the interaction rules in the system. Contrary to common intuition, it is not necessary to have a puppet-master behind the scenes, orchestrating such a large concentration of power for self-enrichment. Inequality can be an emergent property. It is also an interesting side note, that the complex systems paradigm, with its empirical and data-driven foundation, its interaction-based methodology, is only very slowly being adopted in economics and finance.

Figure 2 (PLoS ONE)

Where Do we Go from Here?

These observations could possibly have very important implications for the global economy. The observed organizational patterns could endanger market competition and financial stability. "Too connected to fail" being the next predicament our economy faces. However, in order to validate these concerns an additional interdisciplinary effort is required.

This is the current state of things in dealing with socio-economic systems. We can improve our understand of their organizing principles, highlight potential weaknesses and looming threats. But to give concrete advice and formulate effective policies is a whole different story. Ambitious, long-term and highly-funded programs like futurICT (an EU FET Flagship Initiative), the UN's GlobalPulse or the US' Big Data R&D Initiative are currently trying to close this knowledge gap. The efforts aim at crafting new technologies and innovations building on a complex systems point of view, but are still at the level of data collection or project formulation.

Ideas relating to economics, finance, politics and society are very often tainted by individual ideologies. In contrast, decoding the complexity of our world by considering its interconnected and interactive nature, not only brings novel understanding, but perhaps also allows for a neutral perspective to emerge in the not too distant future. Reality is so complex, we need to move away from dogma.

***

James B. Glattfelder holds a M.Sc. in theoretical physics and a Ph.D. in the study of complex systems, both from the Swiss Federal Institute of Technology. He co-authored the study "The Network of Global Corporate Control" which was recently covered in dozens of news media world-wide and sparked controversial discussions. He is a senior researcher at Olsen Ltd, a quantitative FX investment manager in Zurich, focusing on market-stabilizing algorithms. His interests include the philosophy of science next to societal issues. You can follow him here http://twitter.com/jnode and here http://gplus.to/jnode, and read his blog here http://j-node.blogspot.com/.

***

[1] Stefania Vitali, James B. Glattfelder and Stefano Battiston; PLoS ONE 2011, 6(10): e25995; 2011
(Watch a TEDx talk about it.)

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Sunday, April 1, 2012

roger penrose

the large, the small and the human mind...
Just came back from the 9th Swiss Biennial in Lucerne on Science, Technics and Aesthetics.



Roger Penrose was a keynote speaker, next to many of his collaborators. Over a decade ago was the last time I saw one of his speeches. It is refreshing to see him in action again and in such good shape at the age of 80. And his old school overhead projector slides are just classic.



Simply scanning the table of contents of his 2004 over 1'000-page physics book, The Road to Reality, gives an idea of the impressive breadth of his expertise. Indeed, the contributions he has made have come from a very diverse array of topics:
  • Penrose tilings.
  • Penrose diagrams.
  • Twistor theory, "according to [which], there is a fundamental underlying role for complex numbers in defining space time structures" (TRTR), linking the physics of the large to the physics of the small.
  • Spin networks, used in Loop Quantum Gravity, an alternate unification formalism to String/M-Theory.
  • An alternative interpretation of quantum mechanics, called Objective Reduction (OR), where the wave function is a real object and its collapse is triggered by gravitational energy. Moreover, quantum superpositions are related to space time curvature.
  • Many contributions in cosmology.
  • A couple of years ago, he introduced a novel cosmological model, called Conformal Cyclic Cosmology, in which the infinite expansion of a universe gives rise to a big bang of a new universe (see the picture above.). The theory builds on ideas like conformal (angle preserving) rescaling, the cosmological constant (or dark energy), dark matter, the Weyl curvature hypothesis, entropy, the notion of time (or the lack of, in a universe devoid of matter) and black holes. A prediction of this theory is the existence of concentric anomalies in the cosmic microwave background which are said to have been detected.
His most controversial research has been on the nature of consciousness. Based on his interpretation of quantum mechanics, and arguing with Gödel's theorems, Penrose asserts that the collapse of the wave function, i.e., the choice of state of the superposition, is neither random nor a computational or algorithmic property, but reflects a "transcendent" influence embedded in the fabric of space time at the Planck scale, he calls proto-consciousness.

Stuart Hameroff (anesthesiology, Univ. of Arizona, Tucson) proposed that the place this is happening in the brain is in microtubules. They teamed up and formulated the Orchestrated Objective Reduction (Orch-OR) theory, explaining consciousness as a phenomenon appearing at the threshold between the quantum and the classical world: topological quantum computations in the microtubules in neurons. These computations are proposed to be orchestrated by synaptic inputs and terminated by OR.

Microtubules are protein structures essential for mitosis and which form the cellular "skeleton" contained within the cytoplasm of cells, called cytoskeleton. Importantly, they can be understood as nano-grids with self-organizing and computational properties and underlie the activity in neurons. They have remarkable electronic properties and can be viewed as a new class of condensate. For instance, conductivity does not change with size. See the research of Anirban Bandyopadhyay and colleagues at the NIMS in Japan.

Microtubules have been excessively studied using computer modeling. This allows for the design of drugs that bind to microtubules and have the potential to target various diseases with minimal side-effects, from Alzheimer's to cancer. See the research of Jack Tuszynski (mathematical biology, oncology, Edmonton, Canada).

Penrose has received many awards and honors for his radical and diverse research. And when you see him lecture, one is simply captured by his humorous, passionate and expressive performance. His modesty and non-certainty (often saying things like "perhaps", "if true", "it appears as") make him a very likable great old scientist...


Wednesday, December 7, 2011

fabricating reality

when science, reality and the mind fall apart...
This is the 5-minute talk I gave at Ingnite Zurich.





(Here you can find a written version of the ideas considered here: On Certainty...)


slide 1

Russell's complete quote:
One of the painful things about our time is that those who feel certainty are stupid, and those with any imagination and understanding are filled with doubt and indecision.

Similar sentiment from Daniel Kahneman, Thinking Fast and Slow, 2011, pg. 201:
Our comforting conviction that the world makes sense rests on a secure foundation: our almost unlimited ability to ignore our ignorance.


slide 2

Crazy technology:
Watch Juan Enriquez' TED talk: Tech evolution will eclipse the financial crisis

You get the idea;-)


slide 4

The Standard Model of particle physics and General Relativity are the two most accurately tested theories around.

For more information on the diagram, see Appendix A.2.2 here.


slide 5

String theory, i.e., the collection of the five known superstring theories, had its heyday around 1995, when Edward Witten unified the framework and introduced M-theory. It posits that the fundamental building-blocks of reality are extended entities: strings or membranes. For the mathematics to work, reality has to be 11 dimensional, that is, 10 spacial dimensions plus time. It also requires a new symmetry of nature, called supersymmetry.

In the last decade however, there has arguably not been a lot of excitement in the field. The biggest problem being the missing experimental predictability of the theory. This perhaps explains why Witten recently was on sabbatical at CERN, where the LHC is hoped to give glimpses of supersymmetry or extended dimensions.

An other effort to unify quantum mechanics with general relativity is Loop Quantum Gravity, which does not need a higher-dimensional reality with supersymmetry.


slide 6

Here a list of all the fundamental questions I can think of;-)
A Few Questions... 
And: What Can We Know?

The Higgs particle was needed for a peculiar reason. All the equations of the Standard Model don't work if terms for the mass of particles are introduced. Technically, the SU(3)xSU(2)xU(1) invariant Lagrangian, describing massless particles, can incorporate mass terms via, what is known as, the Higgs mechanism.

Although being a mathematical trick, it is associated with a physical particle. It is a cornerstone of the Standard Model, however, there is no real sign of it at the LHC.

Personally, I do not believe that the particle exists, as I have my personal crackpot theory. Here in a nutshell and here in detail;-)
Edit: on the 4th of July 2012 a Higgs-like boson was found in CERN's LHC particle accelerator (both CMS and ATLAS detectors) around 125-126 GeV (5 sigma level). However, they stress "the results presented today are labelled preliminary" and "positive identification of the new particle’s characteristics will take considerable time and data.". More on the coming challenges here.


slide 7

For more information on the diagram, see Appendix A.2.1 here.

Gödels's life ended tragically, as he drifted off into insanity. Watch BBC Four's documentary Dangerous Knowledge. Or watch this.


slide 8

For more on the philosophy of science, see Appendix A and A.1 here. And more in What are Laws of Nature? and A Philosophy of Science Primer.

What the Tortoise Said to Achilles, written by Lewis Carroll, is a brief dialogue about the problematic foundations of logic.

A very interesting book on this is Zen and the Art of Motorcycle Maintenance by Robert Pirsig.

Finally, What is a "Law of Physics", Anyway? And look it up in the Stanford Encyclopedia of Philosophy: Laws of Nature.


slide 9

Einstein's complete quote:
The supreme task of the physicist is to arrive at those universal elementary laws from which the cosmos can be built up by pure deduction. There is no logical path to these laws; only intuition, resting on sympathetic understanding of experience, can reach them.

Eugene Wigner, in his essay The Unreasonable Effectiveness of Mathematics in the Natural Sciences,says:
  • […] the enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and […] there is no rational explanation for it
  • […] it is not at all natural that “laws of nature” exist, much less that man is able to discover them
  • […] the two miracles of the existence of laws of nature and of the human mind’s capacity to divine them
  • […] fundamentally, we do not know why our theories work so well

More Einstein:
The most incomprehensible thing about the world is that it is comprehensible.  
The fact that it is comprehensible is a miracle.

slide 10

Thomas Kuhn's influential work on the history of science and its many paradigm shifts and revolutions prompted Max Planck to say:
A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it.

Steven Weinberg's full quote in this context:
If the transition from one paradigm to another cannot be judged by any external standard, then perhaps it is culture rather than nature that dictates the content of scientific theories.

The influential philosopher of science, Paul Feyerabend, claimed that there is no such thing as scientific method. "Anything goes!", he said.

The term postmodernism is hard to define briefly. It has been around for a hundred years or so. In a historical context, Richard Tarnas' book The Passion of the Western Mind, summarizes the last 3000 years (or so) as:

The Greek world view → the Christian world view → the transformation of the medieval era → the modern world view (Renaissance, Reformation, Scientific Revolution) → the transformation of the modern era (the crisis of modern science, existentialism and nihilism).

Finally, the last chapter: the Postmodern Mind reads:
There is an appreciation of the plasticity and constant change of reality and knowledge, a stress on the priority of concrete experience over fixed abstract principles, and a conviction that no single a priori thought system should govern belief or investigation. It is recognized that human knowledge is subjectively determined by a multitude of factors; that objective essences, or things-in-themselves, are neither accessible nor possible; and that the value of all truths and assumptions must be continually subjected to direct testing. The critical search for truth is constrained to be tolerant of ambiguity and pluralism, and its outcome will necessarily be knowledge that is relative and fallible rather than absolute or certain.

Postmodernism in real life: Sarah Kay's TED talk If I should have a daughter is about making a list of 10 things you know to be true and comparing it with enough other people's list, and finding that:
  • someone has the exact same, or very similar, thing as something on your list (affirmation)
  • someone has the complete and total opposite to something you know is true (dissonance)
  • someone has something you have never even heard of before (novel thoughts)
  • someone has something you thought you knew everything about, but they are  introducing a new angle to look at it (limited scope)
Aldous Huxley once answered an interview question about who should try LSD with:
Well I think the people who would benefit most of all are professors. I think it would be extremely good for almost anybody with fixed ideas and with a great certainty about what's what to take this thing and to realize the world he's constructed is by no means the only world. That there are these extraordinary other types of universe.


slide 12

Richard Feynman once said about quantum mechanics:
For those who are not shocked when they first come across quantum theory cannot possibly have understood it. 
I think I can safely say that nobody understands quantum mechanics. 
And to quote Niels Bohr:
If quantum mechanics hasn't profoundly shocked you, you haven't understood it yet.
And there is some more craziness: Quantum probability, the measurement problem, tunneling, vacuum fluctuations, Wheeler's delayed choice experiment, quantum teleportation, the no-cloning theorem and on and on...

Recently, a triple-slit experiment was done. And note that things like entanglement and wave-particle duality have been measured for objects as big as a buckyball.

Most alarming are experiments apparently violating causality: delayed-choice entanglement swapping, or the experiment discussed at the end of the next section.

The many-worlds interpretation of quantum mechanics says there are an infinite amount of parallel realities. Everything that could possibly have happened in our past, but did not, has occurred in the past of some other universe or universes.  (From Wikipedia.)

See also David Deutsch's Fabric of Reality. Or watch his TED talk: What is our place in the cosmos?


slide 13

Special Relativity comes from the fact that light has a constant speed. One of the consequences, next to time dilation, is Einstein's famous equation stating the equivalence of mass and energy.

Current estimates are that the universe is 70% dark energy, 25% dark matter, and only 5% of it is visible matter or normal energy. Unfortunately, we have no real idea what 95% of the universe is actually made up of. The 2011 physics Nobel prize was awarded for the observation that the expansion of the universe since the big bang is accelerating. This is thought to be due to dark energy, which basically is an energy content of the vacuum.

Regarding the fine-tuning of the universe, the anthropic principle argues that observations of the physical universe must be compatible with the conscious life that observes it. The idea of a multiverse, for instance the many worlds interpretation of quantum theory or coming from M-theory, easily explains fine-tuning: Of the many parallel universes we obviously live in the one where the fundamental constants have the values we measure.

And there is more:
  • Arrow of time: Why was the universe initially in such an ordered (low entropy) state?
  • What is the nature of time? There is no theory explaining it.
  • Is the universe finite or infinite?
Watch Sean Caroll's TED talk: Distant time and the hint of a multiverse

Get a feeling of the involved scales of the universe. And the time spans: David Christian's TED talk, Big history, which brings you from the Big Bang to the Internet, in 18 minutes.

However, things get truly bizarre when the quantum theory is merged with relativity: experiments have shown that causality falls apart. It's impossible to tell what is the affecter and what is being affected. Concepts of before and after make no sens. There is no real time in the quantum world. And is time an illusion?


slide 14

 The limits of physics:
  • Closed-form solutions to analytical equations are mostly only attainable if non-linear effects (e.g., friction) are ignored; most physical systems in nature are non-linear
  • Not too many interacting entities can be considered (e.g., the three body problem: the equations describing three gravitating bodies cannot be solved - there are an estimated 100 billion galaxies in the universe)
The paradigms of complex systems:
  • Every complex system is reduced to a set of objects and a set of functions between the objects 
  • Macroscopic complexity is the result of simple rules of interaction at the micro level
The first paradigm says that networks are ideal representations of complex systems. The second one is mysterious: complexity comes from simple rules of interaction. This allows complex systems to be easily simulated in a computer, e.g., agent-based simulations. Or Stephen Wolfram's cellular automaton rule 110, which results in a pattern that is neither completely random nor completely repetitive. And John Conway's Game of Life. Fractals, like the Mandelbrot set, are defined by a very simple iterative equation, however, yielding a visualization that can be zoomed into endlessly, revealing an amazing amount of complexity and miniature versions of the original set (self-similarity). Finally, multi-scale Turing patterns are reminiscent of biological structures.

Wolfram also noted:
[The] results [that simple rules give rise to complex behavior] were so surprising and dramatic that as I gradually came to understand them, they forced me to change my whole view of science […].

It took me more than a decade to come to terms with this result, and to realize just how fundamental and far-reaching its consequences are.

Watch Wolfram's TED talk: Computing a theory of everything.

Complex systems in a nutshell: Chapter 1 here. Scaling laws are relevant when it comes to regularities in complex systems.

In closing: science, an overview, and in a nutshell


slide 15

David Eagleman on perception:

You're not perceiving what's out there. You're perceiving whatever your brain tells you.

We do not see with our eyes but rather with our brains.

Waking perception is something like dreaming with a little more commitment to what's in front of you.

What we call normal perception does not really differ from hallucinations, except that the latter are not anchored by external input.

You're perceptual world always lags behind the real world.

What you are able to experience is completely limited by your biology.

Our brains sample just a small bit of the surrounding physical world.

This is all why we would never "stop to think that there is more beyond what we can sense."

Instead of reality being passively recorded by the brain, it is actively constructed by it.


There are thoughts you cannot think.
 

The exact levels of dozens of neurotransmitters are critical for who you believe yourself to be.
From here.

And consider things like selective attention, synaesthesia and the McGurk effect.


slide 16

David Eagleman on  the "conscious me":
Our brain runs mostly on autopilot, and the conscious mind has little access to the giant and mysterious factory that runs below it.

The conscious mind is not at the center of the action in the brain; instead it is far out on a distant edge, hearing but whispers of the activity.

The unexpected part of the news is that the conscious you is the smallest bit-player in the brain.
 

Almost all of our actions are run by alien subroutines, also known as zombie systems.

We are constantly fabricating and telling stories about the alien processes running under the hood.

Fabrication of stories is one of the key businesses in which our brain engages.

Consciousness seems to be about setting goals for what should be burned into the circuitry, and it does little beyond that.

Again from here.

People have been suggesting that the self is constructed and doesn't really exist. For instance Tomas Metzinger. Or watch Henry Markram's TED talk, Supercomputing the brain's secrets:
This theory [of the brain] is that the brain creates, builds, a version of the universe and projects this version of the universe like a bubble all around us.

Experiments have been showing, that the ongoing experience of being located inside our bodies can be modified: If I Were You: Perceptual Illusion of Body Swapping. This started with the classic experiment Rubber hands "feel" touch that eyes see, from 1998.

And what about life anyway? And, for that matter, death? For instance on death and dying.


slide 17

Behavioral economics:
More on happiness from Dan Gilbert (here and here) and Matthieu Ricard.

Tasting the same wine three times, but experiencing more pleasure if you thought it was expensive: Marketing actions can modulate neural representations of experienced pleasantness.

Feeling pain depends on what your beliefs are about the current experience: Paul Bloom's TED talk: The origins of pleasure.

Molly Crockett's TED talk: Drugs and morals and Paul Zak's: Trust, morality - and oxytocin.

And on and on:
Recently someone posted a sign, reading: Don't believe everything you think.


slide 18

The outlook, that no matter how strongly I believe something, no matter how fiercely I am willing to defend my belief, it still simply could be wrong, gives me the incentive to be open. Open-minded and open towards other people. I believe that the world is currently seriously lacking this attitude.

On being wrong:
Alan Alexander Milne in Winnie-The-Pooh. The House at Pooh Corner:
"Rabbit's clever," said Pooh thoughtfully.
"Yes," said Piglet, "Rabbit's clever."
"And he has Brain."
"Yes," said Piglet, "Rabbit has Brain."
There was a long silence.
"I suppose," said Pooh, "that's why he never understands anything."

Personally I try not to exclude much about the workings of reality. Even taboo subjects relating to psi phenomenon: Rupert Sheldrake and Dean Radin.


slide 19

Rolf Landauer's erasure principle.

Seth Lloyd's original quote from his book Programming the Universe:
[It can be shown] that quantum computers can simulate any system that obeys the known laws of physics in a straightforward and efficient way. In fact, the universe is indistinguishable from a quantum computer.

And see more in Charles Seife's book, Decoding the Universe. Information theory, especially quantum information, appears to be the most fundamental aspect of reality. Relativity is essentially about the transmission of information. Quantum theory is at heart about extracting information from reality: the information you receive depends on how you gather that information.

Information is weird:
Digital physics is a collection of theoretical perspectives based on the premise that the universe is, at heart, describable by information, and is therefore computable. Therefore, the universe can be conceived as either the output of a computer program or as a vast, digital computation device (or, at least, mathematically isomorphic to such a device). (From Wikipedia.)


slide 20

The most relevant book I've read in a while: The Passion of the Western Mind by Richard Tarnas. See also the participatory theory. Or the subject-object problem.

Can consciousness fabricate reality? Could this be part of the key: If my life were a book and I were the author, how would I want the story to go?

Seriously, contemplating all of the above, I really cannot exclude anything about the nature of reality...