Saturday, June 20, 2015

Quantum computers attract commercial interest

The British Economist magazine is enthusiastic about quantum computing:
After decades languishing in the laboratory, quantum computers are attracting commercial interest ...

By exploiting certain quantum effects they can create bits, known as qubits, that do not have a definite value, thus overcoming classical computing’s limits.

Around the world, small bands of such engineers have been working on this approach for decades. Using two particular quantum phenomena, called superposition and entanglement, they have created qubits and linked them together to make prototype machines that exist in many states simultaneously. Such quantum computers do not require an increase in speed for their power to increase. In principle, this could allow them to become far more powerful than any classical machine — and it now looks as if principle will soon be turned into practice. Big firms, such as Google, Hewlett-Packard, IBM and Microsoft, are looking at how quantum computers might be commercialised. The world of quantum computation is almost here.

Ready or not, then, quantum computing is coming. It will start, as classical computing did, with clunky machines run in specialist facilities by teams of trained technicians. Ingenuity being what it is, though, it will surely spread beyond such experts’ grip. Quantum desktops, let alone tablets, are, no doubt, a long way away. But, in a neat circle of cause and effect, if quantum computing really can help create a room-temperature superconductor, such machines may yet come into existence.
No, this is crazy. No one has overcome any classical computing limits, no quantum computers are being commercialized, and there will not be any room-temperature superconductor.

There are many other technologies that are being commercialized after decades of languishing in the lab. Self-driving cars. Image identification. Voice recognition. Natural language processing. Robots.

In each of those areas, steady progress is being made. There are prototypes that qualify as a proof of concept. There may not be agreement about how far the technology will go, but it is obvious that commercial applications are coming.

Quantum computing does not qualify. There are lots of experiments that qualify as interesting tests quantum mechanics. But there is no prototype that exceeds any classical computing limits, even on a small slow scale.

Most of you are going to say, "Why should I believe some stupid blogger saying it is impossible, when lots of smart people say this technology is coming, and they are backed by a lot of big money?"

There is no need to believe me. Just tell me how long you are willing to wait. What will you say if there is still no prototype in 2 years? 5 years? 10 years? 20 years?

This is the biggest research scam I've seen. String theory and the multiverse are scams, but at least those folks do not pretend to have commercial applications. There have been lots of over-hyped technologies before, such as fuel cells and hydrogen economy, but those are at least technological possibilities. There is never going to be a quantum computer that out-performs a Turing machine.

Thursday, June 18, 2015

More in infinitesimals

I criticized Sylvia Wenmackers, and she posted a rebuttal in the comments.

She explained what she meant by the hyperreals being incomplete. She is right that the hyperreals do not have the least upper bound property if you include non-internal sets. That is, the infinitesimals are bounded but do not have a least upper bound. But the bounded internal sets have least upper bounds.

The distinction is a little subtle. Arguments involving hyperreals mostly use internal sets, because then the properties of the reals can be used.

On another point, she refers me to this Philip Ehrlich article in the history of non-Archimedean fields. He says:
In his paper Recent Work On The Principles of Mathematics, which appeared in 1901, Bertrand Russell reported that the three central problems of traditional mathematical philosophy – the nature of the infinite, the nature of the infinitesimal, and the nature of the continuum – had all been “completely solved” [1901, p. 89]. Indeed, as Russell went on to add: “The solutions, for those acquainted with mathematics, are so clear as to leave no longer the slightest doubt or difficulty” [1901, p. 89]. According to Russell, the structure of the infinite and the continuum were completely revealed by Cantor and Dedekind, and the concept of an infinitesimal had been found to be incoherent and was “banish[ed] from mathematics” through the work of Weierstrass and others [1901, pp. 88, 90].
I think that it is correct that the continuum ( = number line = real numbers) was figured out in the late 19th century by Weierstrauss, Dedikind, and others, and widely understood in the early XXc, as I explained here. See Construction of the real numbers for details on the leading methods. The standard real numbers do not include infinitesimals.

But "banished" is not the right word. It is more accurate to say that infinitesimal arguments were made rigorous with limits.

The Stanford Encyclopedia of Philosophy entry on Continuity and Infinitesimals starts:
The usual meaning of the word continuous is “unbroken” or “uninterrupted”: thus a continuous entity — a continuum — has no “gaps.” We commonly suppose that space and time are continuous, and certain philosophers have maintained that all natural processes occur continuously: witness, for example, Leibniz's famous apothegm natura non facit saltus — “nature makes no jump.” In mathematics the word is used in the same general sense, but has had to be furnished with increasingly precise definitions. So, for instance, in the later 18th century continuity of a function was taken to mean that infinitesimal changes in the value of the argument induced infinitesimal changes in the value of the function. With the abandonment of infinitesimals in the 19th century this definition came to be replaced by one employing the more precise concept of limit.

Traditionally, an infinitesimal quantity is one which, while not necessarily coinciding with zero, is in some sense smaller than any finite quantity. For engineers, an infinitesimal is a quantity so small that its square and all higher powers can be neglected. In the theory of limits the term “infinitesimal” is sometimes applied to any sequence whose limit is zero. An infinitesimal magnitude may be regarded as what remains after a continuum has been subjected to an exhaustive analysis, in other words, as a continuum “viewed in the small.” It is in this sense that continuous curves have sometimes been held to be “composed” of infinitesimal straight lines.

Infinitesimals have a long and colourful history. They make an early appearance in the mathematics of the Greek atomist philosopher Democritus (c. 450 B.C.E.), only to be banished by the mathematician Eudoxus (c. 350 B.C.E.) in what was to become official “Euclidean” mathematics. Taking the somewhat obscure form of “indivisibles,” they reappear in the mathematics of the late middle ages and later played an important role in the development of the calculus. Their doubtful logical status led in the nineteenth century to their abandonment and replacement by the limit concept. In recent years, however, the concept of infinitesimal has been refounded on a rigorous basis.
This mentions and explains what I have been calling my motto or slogan, only it calls it a "apothegm", whatever that is. My dictionary says "A short pithy instructive saying". The "g" is silent, and it is pronounced APP-u-thum. Okay, I'll accept that, and may even adopt the word.

Consider the above statement that a continuous curve is composed of infinitesimal straight lines. Taken literally, it seems like nonsense. It took mathematicians 3 centuries to make it rigorous, and you can find the result in mathematical analysis textbooks.

The common textbook explanations use infinitesimal methods and limits, but not hyperreals.

My problem with Wenmackers is that she treats infinitesimals as sloppy reasoning until hyperreals came along, and the conventional epsilon-delta arguments as something that might only merit a footnote as it might distract casual readers.

This is just wrong. The mainstream methods for rigorous infinitesimal methods use epsilons, deltas, limits, tangents, and derivatives. The hyperreals have their place as a fringe alternative view, but they are not central or necessary for rigor.

In quantum mechanics, the momentum operator is an infinitesimal translation symmetry. This does not mean that either sloppy reasoning or hyperreals are used. It means that infinitesimal methods were used to linearize the symmetry group at a point. This is essential to how quantum mechanics have been understood for almost 90 years.

I also mentioned that special relativity is the infinitesimal version of general relativity. So yes, infinitesimal analysis is essential to XXc physics. How else do you understand relativity and quantum mechanics?

She writes:
What I mean by "loose talk involving infinitesimals" "frowned upon by mathematicians" is that physicists often talk about infinitesimals in a way that is close in spirit to Leibniz's work (and hence to non-standard analysis), which is not compatible with the definition of the classical limit as mathematicians use it in standard analysis.
No, I disagree with this. Limits and standard analysis were invented to make work by Leibniz and others rigorous, and they are still accepted as the best way.

She is essentially saying that the hyperreals are a better way to make Leibniz's work rigorous. If that is so, then why do all the textbooks do it a different way?

There are a few hyperreal enthusiasts among mathematicians who believe the hyperreals are superior, but they are a very small minority. I doubt that there are any colleges that teach analysis that way.
I think many of your other remarks also boil down to the same point: I use the term 'infinitesimal' in a more restricted sense than the way you seem to interpret it.
This is like saying:
When I refer to atoms, I am not talking about the atoms that are commonly described in college chemistry textbooks. I mean the hyper-atoms that were recently conceived as being closer in spirit to the way that the ancient Greek Democritus talked about atoms.
Russell did not just try to banish infinitesimals. He also tried to banish causality from physics, and convinced modern philosophers that there is no such thing.

This is a problem with modern philosophers. They can say the most ridiculous things just because they are accepted by other philosophers and historians. If they want to know how Leibniz's work was made rigorous, they could knock on a mathematician's door and ask, "Did anyone make Leibniz's work rigorous?" He would say, "Sure, just take our Calculus I and Analysis I courses." If she said, "what about the hyperreals?", he would say, "Yes, you can do it that way also, but we do not teach a class on it."

If I am wrong, please explain in the comments.

Monday, June 15, 2015

Contest winner misunderstands infinitesimals

FQXi has announced its annual essay contest winners, and the top prize went to a Belgium philosopher of physics, Sylvia Wenmackers, who wrote:
Essay Abstract
Our mathematical models may appear unreasonably effective to us, but only if we forget to take into account who we are: we are the children of this Cosmos. We were born here and we know our way around the block, even if we do not always appreciate just how wonderful an achievement that is.
My essay did not win any prizes. I suspect that the prizes would have been a lot different if the evaluation had been blinded (ie, if author names were removed during evaluation).

She has her own blog, and a grad student working on quantum teleportation and time travel.

The most substantive comments in her essay are about infinitesimals:
The natural sciences aim to formulate their theories in a mathematically precise way, so it seems fitting to call them the ‘exact sciences’. However, the natural sciences also allow – and often require – deviations from full mathematical rigor. Many practices that are acceptable to physicists – such as order of magnitude calculations, estimations of errors, and loose talk involving infinitesimals – are frowned upon by mathematicians. Moreover, all our empirical methods have a limited range and sensitivity, so all experiments give rise to measurement errors. Viewed as such, one may deny that any empirical science can be fully exact.
No, this is not right. Physicists take non-rigorous shortcuts, and mathematicians frown on loose talk. But mathematicians have rigorous theories for estimating errors, infinitesimals, and all other math in use. Non-rigorous work may be convenient, and full rigor may be impractical in some cases, but it is a mistake to say that science requires non-rigorous math. Mathematicians strive to make all math rigorous.
In mathematics, infinitesimals played an important role during the development of the calculus, especially in the work of Leibniz [11], but also in that of Newton (where they figure as ‘evanescent increments’) [12]. The development of the infinitesimal calculus was motivated by physics: geometric problems in the context of optics, as well as dynamical problems involving rates of change. Berkeley [13] ridiculed infinitesimals as “ghosts of departed quantities”. It has taken a long time to find a consistent definition of this concept that holds up the current standards of mathematical rigor, but meanwhile this has been achieved [14]. The contemporary definition of infinitesimals considers them in the context of an incomplete, ordered field of ‘hyperreal’ numbers, which is non-Archimedean: unlike the field of real numbers, it does contain non-zero, yet infinitely small numbers (infinitesimals). The alternative calculus based on hyperreal numbers, called ‘non-standard analysis’ (NSA), is conceptually closer to Leibniz’s original work (as compared to standard analysis).

While infinitesimals have long been banned from mathematics, they remained in fashion within the sciences, in particular in physics: not only in informal discourse, but also in didactics, explanations, and qualitative reasoning. It has been suggested that NSA can provide a post hoc justification for how infinitesimals are used in physics [15]. Indeed, NSA seems a very appealing framework for theoretical physics: it respects how physicists are already thinking of derivatives, differential equations, series expansions, and the like, and it is fully rigorous.11
I have previously argued that Berkeley was not ridiculing infinitesimals with that quote. The ghosts are the limits, not the infinitesimals.

I don't know why she says the hyperreals are incomplete. They have the same completeness properties as the real numbers. That is, Cauchy sequences converge, bounded sets have least upper bounds, and odd order polynomials have roots.

The impression given here is that differential calculus and mathematical physics were non-rigorous until hyperreals and NSA justified infinitesimals. That is not true, and most mathematicians and physicists today do not even pay any attentions to hyperreals or NSA.

The mainstream treatment of infinitesimals is to treat them as a shorthand for certain arguments involving limits, using a rigorous definition of limit. The main ideas were worked out by Cauchy, Weierstrauss, and others in the 19th century, and probably perfected in the XXc. There is no need for hyperreals.

Infinitesimals were never banned from mathematics. They are completely legitimate if backed up by limits or hyperreals. Maybe physicists never learn that, but mathematicians do.

I might say: "Special relativity is the infinitesimal version of general relativity." What that means is that if you take a tangent geometric structure to the curved spacetime of general relativity, you get the (flat) geometry of special relativity. The tangent may be defined using limits, derivatives, or hyperreals. It is a rigorous statement, and these sorts of statements were never banned.

You do not see statements like that in physics books. They are more likely to say that special relativity is an approximation to general relativity, as they might say that a tangent line is an approximation to a curve. Mathematicians would rather take the limit, and make an exact statement.

Consider f'(x)dx which can be integrated to get f(x). You can view dx as a hyperreal infinitesimal, and the integral as an infinite sum. But the more conventional view is that infinitesimals are not numbers, but a method for getting tangents and tensors. Then f'(x)dx is not a simple function, but something that acts on tangent vectors and can be integrated. I am skipping over subtle details, but it is a rigorous infinitesimal method and described in elementary math textbooks.

Also dy/dx is symbolically the division of infinitesimals, but rigorously defined as a limit.

So the above paper badly misunderstands infinitesimals to treat them as only made rigorous by hyperreals. She also mentions considering Planck's constant h, or the reciprocal of the speed of light 1/c, to be like infinitesimals.

A recent book claims that Galileo used infinitesimals and the Jesuits banned such use. I don't know about that, but that predated Newton, Leibniz, and calculus. And I am sure that some use of infinitesimals was sloppy. All pre-XXc work was sloppy by modern standards. But the usage by mathematicians can be made rigorous. By the early XXc, it was all rigorous (in the math books).

Thursday, June 11, 2015

Dog consciousness causes wave function collapse


Lubos Motl defends the Copenhagen interpretation of quantum mechanics, and now he defends the Von Neumann–Wigner interpretation. Von Neumann supposedly believed that human consciousness caused collapse of the wave function, and Wigner said he thought that a dog had sufficient consciousness to cause collapse.

It sounds ridiculous when you phrase it that way, but it is not so silly. The electron may have an independent objective existence, but our best explanation uses wave functions that cleverly encode how it was observed in the past and how it might be observed in the future.

The Moon exists whether we look at it or not, but the exact position and other physical characteristic are either directly observed or inferred from models and previous observations. The observations confirm the predictions and narrow the error bars.

And yes, a dog can look at the Moon.

Peter Woit cites an ex-string theorist ranting about the field. One notable point is that hardly anyone is really doing string theory any more. They are toying around with mathematical structures and models inspired by string theory, but they are not trying to study electrons as tiny strings or anything you might recognize from popular accounts of the field.

Scott Aaronson has joined Noam Chomsky and other MIT eggheads in denouncing investment in oil companies. Some of the comments explain how this is just feel-good leftist political posturing that will accomplish nothing worthwhile. You would think that all these smart MIT professors could recommend some constructive changes for our society.

Sometimes I think that the environmentalist movement is dominated by anti-environmentalists who invent stupid causes to distract people away from bigger threats.

Monday, June 8, 2015

A Crisis at the Edge of Physics

Physics professors Adam Frank and Marcelo Gleiser, write in the NY Times:
DO physicists need empirical evidence to confirm their theories?

You may think that the answer is an obvious yes, experimental confirmation being the very heart of science. But a growing controversy at the frontiers of physics and cosmology suggests that the situation is not so simple. ...

But the standard model, despite the glory of its vindication, is also a dead end. It offers no path forward to unite its vision of nature’s tiny building blocks with the other great edifice of 20th-century physics: Einstein’s cosmic-scale description of gravity. Without a unification of these two theories — a so-called theory of quantum gravity — we have no idea why our universe is made up of just these particles, forces and properties. (We also can’t know how to truly understand the Big Bang, the cosmic event that marked the beginning of time.)
No, quantum gravity is a stupid pipe dream that would tell us nothing about the universe.

SUSY is at least testable and potentially explanatory, but it may soon be dead:
Today, the favored theory for the next step beyond the standard model is called supersymmetry (which is also the basis for string theory). Supersymmetry predicts the existence of a “partner” particle for every particle that we currently know. It doubles the number of elementary particles of matter in nature. The theory is elegant mathematically, and the particles whose existence it predicts might also explain the universe’s unaccounted-for “dark matter.” As a result, many researchers were confident that supersymmetry would be experimentally validated soon after the Large Hadron Collider became operational.

That’s not how things worked out, however. To date, no supersymmetric particles have been found. If the Large Hadron Collider cannot detect these particles, many physicists will declare supersymmetry — and, by extension, string theory — just another beautiful idea in physics that didn’t pan out.

But many won’t. Some may choose instead to simply retune their models to predict supersymmetric particles at masses beyond the reach of the Large Hadron Collider’s power of detection — and that of any foreseeable substitute.
Now physics is being overrun by non-empirical pursuits:
Consider, likewise, the cutting-edge theory in physics that suggests that our universe is just one universe in a profusion of separate universes that make up the so-called multiverse.
A current essay on Scientia Salon argues that string theory and many-worlds are legitimate science and not pseudoscience, even tho there is not likely to ever have any empirical evidence for either.
Recall the epicycles, the imaginary circles that Ptolemy used and formalized around A.D. 150 to describe the motions of planets. Although Ptolemy had no evidence for their existence, epicycles successfully explained what the ancients could see in the night sky, so they were accepted as real. But they were eventually shown to be a fiction, more than 1,500 years later. Are superstrings and the multiverse, painstakingly theorized by hundreds of brilliant scientists, anything more than modern-day epicycles?
This explanation of epicycles makes no sense. It says they were "imaginary" and "had no evidence", but also that the ancients saw them in the night sky.

Ptolemy approximated the night sky view of planets as main circles plus epicycles. They are real in a sense similar to saying that the phases of the Moon are real. We see them in the sky. That is all Ptolemy meant.

Saying that Ptolemy had no evidence for epicycles is like saying that he had no evidence for phases of the Moon.

You could say that electrons are modern-day epicycles in that we have very good models for what we see in electron experiments, but not necessarily a deep understanding of what an electron really is.

Superstrings are not like that at all. There is nothing relating theoretical superstrings to anything that is observed, nor is any such relationship likely in the future.

At that Scientia Essay, Massimo Pigliucci argues that the philosopher's consensus is that there is no clearcut definition of science, but he writes books attacking pseudoscience anyway. A responder gives this definition:
Sorry, but as a physicist, I’m pretty much a Popperian. I have a very narrow definition of what constitutes “science:” it is a methodology consisting of a systematic, iterative use of observation (all sense-data) and reason. Observations are used as hypotheses, reason generates models (mathematical in the advanced form) which are tested by prediction against additional observation. And Falsification is, indeed, the criterion which must be met by a model (theory) if it is to be judged part of science.

And I’m not too sure about psychology: why is it obvious that a methodology created by the human intellect should obviously be applicable to analyzing the human mind? There’s a Doug Hofstadter strange-loop problem, potentially. And then there’s “political science,” “management science,” and other comic labels.

So astrology, creation science, and natural theology are not sciences by the Popper test. Also, I would say that string theory is only a science if it generates a prediction that is at least IN PRINCIPLE falsifiable. It is near the margin, because, while there are in-principle observations that might test its predictions, these are not even close to practical. So it is certainly questionable as science. Many-worlds quantum mechanics is not science – UNLESS someone comes up with a way to test it. As I said, I have a narrow definition of the word.
That is a decent definition.

Ethan Siegel tries to answer Does Quantum Gravity Need String Theory? He starts by quoting:
“I just think too many nice things have happened in string theory for it to be all wrong. Humans do not understand it very well, but I just don’t believe there is a big cosmic conspiracy that created this incredible thing that has nothing to do with the real world.” -Edward Witten
Lubos Motl explains:
Witten wants to say that even without definite empirical proofs, the mathematical properties of string theory make us certain that it is an incredibly tight, rich, and unique mathematical structure that seems to contain the ideas compatible with physics as well as many new structures and relationships that came as surprises and taught us to think about physical and mathematical concepts in new ways.
This is just the faith of a true believer. There are lots of nice mathematical structures, from p-adic numbers to category theory, but they do not describe the structure of electrons. A lot of nice mathematics finds unexpected applications, so some of these things might be applied to physics, but it is nutty to think that electrons are based on 6-dimensional Calabi-Yau manifolds.

Siegel explains that quantum gravity is fully understood for all observable possibilities:
“So,” you reason, “we’ll simply do our quantum field theory calculations in the background of curved space!” This is known as semi-classical gravity, and it’s this type of calculation that allows us to calculate things like Hawking radiation. But even that is only at the event horizon of the black hole itself, not at the location where gravity is truly at its strongest. As Sabine Hossenfelder elegantly explained, there are multiple physical instances where we need a quantum theory of gravity, all having to do with gravitational physics on the smallest of scales: at tiny distances.

What happens, for example, at the central locations of black holes? You might think, “oh, there’s a singularity,” but a singularity isn’t quite so much a point of infinite density, but is more likely an instance where the mathematics of General Relativity returns nonsensical answers for things like potentials and forces.
Black holes are not observable inside the event horizon. We can speculate about what is inside, but according to relativity, there is no way of every knowing. It is as impossible as going faster than the speed of light.

The quantum gravity researchers are concerned with the center point of the black hole, where there is supposedly a singularity with infinite density. Or maybe the matter does not collapse all the way, because of very high energy interactions that are not understood. Or maybe God is hiding in there. Believe whatever you want, because physically it is a meaningless question.

Thursday, June 4, 2015

Zeilinger has popular but wrong interpretation of Bell

A 2006 physics paper argued:
At a time when the forces of obfuscation in America are engaged in a campaign against the theory of evolution on behalf of Intelligent Design, it is perhaps worth asking Zeilinger how the idea that there is no difference between in formation and reality can be compatible with the emergence of information processing systems such as we are from a lifeless reality. And it is perhaps also worth asking the editors of Nature how, at a time when, rightly, papers on Intelligent Design are consistently rejected by peer-reviewed journals, an essay like Zeilinger’s is not.
They attack this Nature essay:
The discovery that individual events are irreducibly random is probably one of the most significant findings of the twentieth century. ...

John Bell showed that the quantum predictions for entanglement are in conflict with local realism. ...

Maybe this suggests that reality and information are two sides of the same coin, that they are in a deep sense indistinguishable.
Anton Zeilinger is widely respected, and often mentioned as a candidate for a Nobel Prize if one were ever to be awarded for quantum foundational word related to Bell's Theorem.

We don't know that anything is irreducibly random, or that there is any such meaningful concept. We do know that certain quantum phenomena seems random, and cannot be explained as just the random sampling of local hidden variables.

But random just means difficult to predict. We say that coin tosses are random because it is impractical to predict the outcome, but maybe not impossible.

A free neutron has a half-life of 15 minutes, so that might seem irreducibly random. But we now know that a neutron is composed of 3 quarks and many gluons, so the decay may be reducible to the mechanics of those particles, and those may or may not be deterministic.

Meanwhile, Slashdot asks Are We Entering a "Golden Age of Quantum Computing Research"?

Monday, June 1, 2015

Science is about truth, not falsity

Leftist-atheist-evolutionist Jerry Coyne plugs his latest book:
In fact, the conflict between science and religion — at least the Abrahamic faiths dominant in the U.S. — is deep, endemic, and unlikely to be resolved. For this conflict is one between faith and fact — a battle in the long-fought war between rationality and superstition. ...

But while science and religion both claim to discern what’s true, only science has a system for weeding out what’s false. In the end, that is the irreconcilable conflict between them. Science is not just a profession or a body of facts, but, more important, a set of cognitive and practical tools designed to understand brute reality while overcoming the human desire to believe what we like or what we find emotionally satisfying. The tools are many, including observation of nature, peer review and replication of results, and above all, the hegemony of doubt and criticality. The best characterization of science I know came from physicist Richard Feynman: “The first principle is that you must not fool yourself — and you are the easiest person to fool. So you have to be very careful about that.”
I do not find this to be a very good description of science. Lots of religious believers are also concerned about fooling themselves.

I also do not agree with this view that science is all about proving things false. It is about establishing empirical truths.

Consider a basic scientific finding that can be expressed in the positive: "Energy is conserved", or the negative: "There is no perpetual motion machine."

The positive is preferable, by far. It comes with theories of how energy can be transformed from one form to another, and experiments measuring the conservation to high precision. We are extremely confident of these results because they are so often replicated, and applied in a useful way.

Saying that there is no perpetual motion machine is less certain, and less verifiable. Some say that the expansion of the universe is creating dark energy. Maybe that could be used for perpetual. I doubt it, but we cannot be sure.
But even if science and religion are incompatible, what’s the harm? Most of the damage comes from something inherent in many faiths: proselytizing. If you have a faith-based code of conduct attached to beliefs in absolute truths and eternal rewards and punishments, you’re tempted to impose those truths on others. ...

There is also “horizontal” proselytizing: pressing faith-based beliefs on others via politics. This has led to religion-based opposition to things like global warming, ...
Are there religious folks trying to impose some sort of biblical truth about global warming on others? News to me.

He argues that modern DNA evidence is inconsistent with the Adam and Eve story. Yes, I guess that is true, but it is not necessarily inconsistent with the religious lessons people draw from the story.

Coyne's main concern seems to be that religion is an obstacle to his leftist political agenda. He does not similarly attack people with a religious belief in environmentalism.

Update: SciAm's John Horgan does not have any problem with leftism, atheism, or evolutionism, but trashes Coyne's book as going too far.
Mr. Coyne’s critique of free will, far from being based on scientific “fact,” betrays how his hostility toward religion distorts his judgment. Evidence against free will, he says, “kicks the props out from under much theology, including the doctrine of salvation.” Mr. Coyne thinks that if religious people believe in free will, it must be an illusion.

Mr. Coyne’s loathing of creationism, similarly, leads him to exaggerate what science can tell us about our cosmic origins. Mr. Coyne asserts that “we are starting to see how the universe could arise from ‘nothing,’ and that our own universe might be only one of many universes that differ in their physical laws.” Actually, cosmologists are more baffled than ever at why there is something rather than nothing… And multiverse theories are about as testable as religious beliefs. ...

Actually, Faith vs. Fact serves as a splendid specimen of scientism. Mr. Coyne disparages not only religion but also other human ways of engaging with reality. The arts, he argues, “cannot ascertain truth or knowledge,” and the humanities do so only to the extent that they emulate the sciences. This sort of arrogance and certitude is the essence of scientism.
Sometimes I post stuff like this, and people tell me that creationists are so much worse, and that anyone fighting the creationists is doing a good thing.

This blog is about science, and I hold scientists to scientific standards. However bad someone's theology might be, that is all the more reason for scientists to be scientific, if they want to show that science is superior.

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