Motivation, Boredom, and Problem Solving

shatteredIn the New York Times Stone column, James Blachowicz of Loyola challenges the assumption that the scientific method is uniquely distinguishable from other ways of thinking and problem solving we regularly employ. In his example, he lays out how writing poetry involves some kind of alignment of words that conform to the requirements of the poem. Whether actively aware of the process or not, the poet is solving constraint satisfaction problems concerning formal requirements like meter and structure, linguistic problems like parts-of-speech and grammar, semantic problems concerning meaning, and pragmatic problems like referential extension and symbolism. Scientists do the same kinds of things in fitting a theory to data. And, in Blachowicz’s analysis, there is no special distinction between scientific method and other creative methods like the composition of poetry.

We can easily see how this extends to ideas like musical composition and, indeed, extends with even more constraints that range from formal through to possibly the neuropsychology of sound. I say “possibly” because there remains uncertainty on how much nurture versus nature is involved in the brain’s reaction to sounds and music.

In terms of a computational model of this creative process, if we presume that there is an objective function that governs possible fits to the given problem constraints, then we can clearly optimize towards a maximum fit. For many of the constraints there are, however, discrete parameterizations (which part of speech? which word?) that are not like curve fitting to scientific data. In fairness, discrete parameters occur there, too, especially in meta-analyses of broad theoretical possibilities (Quantum loop gravity vs. string theory? What will we tell the children?) The discrete parameterizations blow up the search space with their combinatorics, demonstrating on the one hand why we are so damned amazing, and on the other hand why a controlled randomization method like evolutionary epistemology’s blind search and selective retention gives us potential traction in the face of this curse of dimensionality.… Read the rest

Quantum Field Is-Oughts

teleologySean Carroll’s Oxford lecture on Poetic Naturalism is worth watching (below). In many ways it just reiterates several common themes. First, it reinforces the is-ought barrier between values and observations about the natural world. It does so with particular depth, though, by identifying how coarse-grained theories at different levels of explanation can be equally compatible with quantum field theory. Second, and related, he shows how entropy is an emergent property of atomic theory and the interactions of quantum fields (that we think of as particles much of the time) and, importantly, that we can project the same notion of boundary conditions that result in entropy into the future resulting in a kind of effective teleology. That is, there can be some boundary conditions for the evolution of large-scale particle systems that form into configurations that we can label purposeful or purposeful-like. I still like the term “teleonomy” to describe this alternative notion, but the language largely doesn’t matter except as an educational and distinguishing tool against the semantic embeddings of old scholastic monks.

Finally, the poetry aspect resolves in value theories of the world. Many are compatible with descriptive theories, and our resolution of them is through opinion, reason, communications, and, yes, violence and war. There is no monopoly of policy theories, religious claims, or idealizations that hold sway. Instead we have interests and collective movements, and the above, all working together to define our moral frontiers.

 … Read the rest

Rationality and the Intelligibility of Philosophy

6a00d83542d51e69e20133f5650edd970b-800wiThere is a pervasive meme in the physics community that holds as follows: there are many physical phenomena that don’t correspond in any easy way to our ordinary experiences of life on earth. We have wave-particle duality wherein things behave like waves sometimes and particles other times. We have simultaneous entanglement of physically distant things. We have quantum indeterminacy and the emergence of stuff out of nothing. The tiny world looks like some kind of strange hologram with bits connected together by virtual strings. We have a universe that began out of nothing and that begat time itself. It is, in this framework, worthwhile to recognize that our every day experiences are not necessarily useful (and are often confounding) when trying to understand the deep new worlds of quantum and relativistic physics.

And so it is worthwhile to ask whether many of the “rational” queries that have been made down through time have any intelligible meaning given our modern understanding of the cosmos. For instance, if we were to state the premise “all things are either contingent or necessary” that underlies a poor form of the Kalam Cosmological Argument, we can immediately question the premise itself. And a failed premise leads to a failed syllogism. Maybe the entanglement of different things is piece-part of the entanglement of large-scale space time, and that the insights we have so far are merely shadows of the real processes acting behind the scenes? Who knows what happened before the Big Bang?

In other words, do the manipulations of logic and the assumptions built into the terms lead us to empty and destructive conclusions? There is no reason not to suspect that and therefore the bits of rationality that don’t derive from empirical results are immediately suspect.… Read the rest

A Critique of Pure Randomness

Random MemeThe notion of randomness brings about many interesting considerations. For statisticians, randomness is a series of events with chances that are governed by a distribution function. In everyday parlance, equally-likely means random, while an even more common semantics is based on both how unlikely and how unmotivated an event might be (“That was soooo random!”) In physics, there are only certain physical phenomena that can be said to be truly random, including the probability of a given nucleus decomposing into other nuclei via fission. The exact position of a quantum thingy is equally random when it’s momentum is nailed down, and vice-versa. Vacuums have a certain chance of spontaneously creating matter, too, and that chance appears to be perfectly random. In algorithmic information theory, a random sequence of bits is a sequence that can’t be represented by a smaller descriptive algorithm–it is incompressible. Strangely enough, we simulate random number generators using a compact algorithm that has a complicated series of steps that lead to an almost impossible to follow trajectory through a deterministic space of possibilities; it’s acceptible to be random enough that the algorithm parameters can’t be easily reverse engineered and the next “random” number guessed.

One area where we often speak of randomness is in biological evolution. Random mutations lead to change and to deleterious effects like dead-end evolutionary experiments. Or so we hypothesized. The exact mechanism of the transmission of inheritance and of mutations were unknown to Darwin, but soon in the evolutionary synthesis notions like random genetic drift and the role of ionizing radiation and other external factors became exciting candidates for the explanation of the variation required for evolution to function. Amusingly, arguing largely from a stance that might be called a fallacy of incredulity, creationists have often seized on a logical disconnect they perceive between the appearance of purpose both in our lives and in the mechanisms of biological existence, and the assumption of underlying randomness and non-directedness as evidence for the paucity of arguments from randomness.… Read the rest

The Rise and Triumph of the Bayesian Toolshed

Bayes LawIn Asimov’s Foundation, psychohistory is the mathematical treatment of history, sociology, and psychology to predict the future of human populations. Asimov was inspired by Gibbon’s Decline and Fall of the Roman Empire that postulated that Roman society was weakened by Christianity’s focus on the afterlife and lacked the pagan attachment to Rome as an ideal that needed defending. Psychohistory detects seeds of ideas and social movements that are predictive of the end of the galactic empire, creating foundations to preserve human knowledge against a coming Dark Age.

Applying statistics and mathematical analysis to human choices is a core feature of economics, but Richard Carrier’s massive tome, On the Historicity of Jesus: Why We Might Have Reason for Doubt, may be one of the first comprehensive applications to historical analysis (following his other related work). Amusingly, Carrier’s thesis dovetails with Gibbon’s own suggestion, though there is a certain irony to a civilization dying because of a fictional being.

Carrier’s methods use Bayesian analysis to approach a complex historical problem that has a remarkably impoverished collection of source material. First century A.D. (C.E. if you like; I agree with Carrier that any baggage about the convention is irrelevant) sources are simply non-existent or sufficiently contradictory that the background knowledge of paradoxography (tall tales), rampant messianism, and general political happenings at the time lead to a likelihood that Jesus was made up. Carrier constructs the argument around equivalence classes of prior events that then reduce or strengthen the evidential materials (a posteriori). And he does this without ablating the richness of the background information. Indeed, his presentation and analysis of works like Inanna’s Descent into the Underworld and its relationship to the Ascension of Isaiah are both didactic and beautiful in capturing the way ancient minds seem to have worked.… Read the rest

Language Games

Word GamesOn The Thinking Atheist, C.J. Werleman promotes the idea that atheists can’t be Republicans based on his new book. Why? Well, for C.J. it’s because the current Republican platform is not grounded in any kind of factual reality. Supply-side economics, Libertarianism, economic stimuli vs. inflation, Iraqi WMDs, Laffer curves, climate change denial—all are grease for the wheels of a fantastical alternative reality where macho small businessmen lift all boats with their steely gaze, the earth is forever resilient to our plunder, and simple truths trump obscurantist science. Watch out for the reality-based community!

Is politics essentially religion in that it depends on ideology not grounded in reality, spearheaded by ideologues who serve as priests for building policy frameworks?

Likely. But we don’t really seem to base our daily interactions on rationality either. 538 Science tells us that it has taken decades to arrive at the conclusion that vitamin supplements are probably of little use to those of us lucky enough to live in the developed world. Before that we latched onto indirect signaling about vitamin C, E, D, B12, and others to decide how to proceed. The thinking typically took on familiar patterns: someone heard or read that vitamin X is good for us/I’m skeptical/why not?/maybe there are negative side-effects/it’s expensive anyway/forget it. The language games are at all levels in promoting, doubting, processing, and reinforcing the microclaims for each option. We embrace signals about differences and nuances but it often takes many months and collections of those signals in order to make up our minds. And then we change them again.

Among the well educated, I’ve variously heard the wildest claims about the effectiveness of chiropractors, pseudoscientific remedies, the role of immunizations in autism (not due to preservatives in this instance; due to immune responses themselves), and how karma works in software development practice.… Read the rest

Humbly Evolving in a Non-Simulated Universe

darwin-changeThe New York Times seems to be catching up to me, first with an interview of Alvin Plantinga by Gary Cutting in The Stone on February 9th, and then with notes on Bostrom’s Simulation Hypothesis in the Sunday Times.

I didn’t see anything new in the Plantinga interview, but reviewed my previous argument that adaptive fidelity combined with adaptive plasticity must raise the probability of rationality at a rate that is much greater than the contributions that would be “deceptive” or even mildly cognitively or perceptually biased. Worth reading is Branden Fitelsen and Eliot Sober’s very detailed analysis of Plantinga’s Evolutionary Argument Against Naturalism (EAAN), here. Most interesting are the beginning paragraphs of Section 3, which I reproduce here because it is a critical addition that should surprise no one but often does:

Although Plantinga’s arguments don’t work, he has raised a question that needs to be answered by people who believe evolutionary theory and who also believe that this theory says that our cognitive abilities are in various ways imperfect. Evolutionary theory does say that a device that is reliable in the environment in which it evolved may be highly unreliable when used in a novel environment. It is perfectly possible that our mental machinery should work well on simple perceptual tasks, but be much less reliable when applied to theoretical matters. We hasten to add that this is possible, not inevitable. It may be that the cognitive procedures that work well in one domain also work well in another; Modus Ponens may be useful for avoiding tigers and for doing quantum physics.

Anyhow, if evolutionary theory does say that our ability to theorize about the world is apt to be rather unreliable, how are evolutionists to apply this point to their own theoretical beliefs, including their belief in evolution?

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Predicting Black Swans

black-swanNasim Taleb’s 2nd Edition of The Black Swan argues—not unpersuasively—that rare, cataclysmic events dominate ordinary statistics. Indeed, he notes that almost all wealth accumulation is based on long-tail distributions where a small number of individuals reap unexpected rewards. The downsides are also equally challenging, where he notes that casinos lose money not in gambling where the statistics are governed by Gaussians (the house always wins), but instead when tigers attack, when workers sue, and when other external factors intervene.

Black Swan Theory adds an interesting challenge to modern inference theories like Algorithmic Information Theory (AIT) that anticipate predictability to the universe. Even variant coding approaches like Minimum Description Length theory modify the anticipatory model based on relatively smooth error functions rather than high “kurtosis” distributions of variable change. And for the most part, for the regular events of life and our sensoriums, that is adequate. It is only where we start to look at rare existential threats that we begin to worry about Black Swans and inference.

How might we modify the typical formulations of AIT and the trade-offs between model complexity and data to accommodate the exceedingly rare? Several approaches are possible. First, if we are combining a predictive model with a resource accumulation criteria, we can simply pad out the model memory by reducing kurtosis risk through additional resource accumulation; any downside is mitigated by the storing of nuts for a rainy day. Good strategy for moderately rare events like weather change, droughts and whatnot. But what about even rarer events like little ice ages and dinosaur extinction-level meteorite hits? An alternative strategy is to maintain sufficient diversity in the face of radical unknowns that coping becomes a species-level achievement.… Read the rest

Contingency and Irreducibility

JaredTarbell2Thomas Nagel returns to defend his doubt concerning the completeness—if not the efficacy—of materialism in the explanation of mental phenomena in the New York Times. He quickly lays out the possibilities:

  1. Consciousness is an easy product of neurophysiological processes
  2. Consciousness is an illusion
  3. Consciousness is a fluke side-effect of other processes
  4. Consciousness is a divine property supervened on the physical world

Nagel arrives at a conclusion that all four are incorrect and that a naturalistic explanation is possible that isn’t “merely” (1), but that is at least (1), yet something more. I previously commented on the argument, here, but the refinement of the specifications requires a more targeted response.

Let’s call Nagel’s new perspective Theory 1+ for simplicity. What form might 1+ take on? For Nagel, the notion seems to be a combination of Chalmers-style qualia combined with a deep appreciation for the contingencies that factor into the personal evolution of individual consciousness. The latter is certainly redundant in that individuality must be absolutely tied to personal experiences and narratives.

We might be able to get some traction on this concept by looking to biological evolution, though “ontogeny recapitulates phylogeny” is about as close as we can get to the topic because any kind of evolutionary psychology must be looking for patterns that reinforce the interpretation of basic aspects of cognitive evolution (sex, reproduction, etc.) rather than explore the more numinous aspects of conscious development. So we might instead look for parallel theories that focus on the uniqueness of outcomes, that reify the temporal evolution without reference to controlling biology, and we get to ideas like uncomputability as a backstop. More specifically, we can explore ideas like computational irreducibility to support the development of Nagel’s new theory; insofar as the environment lapses towards weak predictability, a consciousness that self-observes, regulates, and builds many complex models and metamodels is superior to those that do not.… Read the rest