Thursday, February 28, 2013

Dembski Repeats the Same Tired Nonsense

Here's a video of Bill Dembski repeating the same old nonsense about intelligent design. Want to know why intelligent design is dead? Because even its leading proponents have nothing new to say.

- "specified complexity" and "complex specified information": incoherent, useless concepts that have been debunked long ago by me and many others

- the movie Expelled shows how intelligent design advocates get discriminated against (see here for the real story)

- same grotesque slurs against legitimate researchers, implying they've done something underhanded by "smuggling in" information

- same martrydom about how his career has been damaged by evil Darwinists.

- same mystical view of "information", without understanding how it can be created by any random process.

- same claim about prime numbers implying intelligence, even though there is evidence that natural processes that can generate them (e.g., cicada periodicity to avoid predation).

And he still doesn't understand that evolution doesn't have a goal and that evolutionary fitness landscapes come from the environment.

My Review of Chaitin

My review of Gregory Chaitin's book, Proving Darwin: Making Biology Mathematical, has finally appeared here.

Bottom line: Chaitin has an interesting idea, but it's a small idea expressed poorly, and will likely have very little impact on either biology or mathematics.

Thursday, February 21, 2013

How Did This Guy Ever Get Elected?

The spectacle of George Galloway, British MP, walking out of a debate because his opponent was an Israeli, is appalling. How did he ever get elected?

Saturday, February 16, 2013

Woodworth: If You Didn't Support My Motion, It's Because of "Ideology, Political Bias, or Personal Interest"

According to a letter in our local newspaper, our local MP, Stephen Woodworth thinks that the only reason people didn't support his Motion 312 was "ideology, political bias or personal interest": "[Trudeau's] opposition to the evidenced-based study of a law denying the equal worth and dignity of same human beings, in the Motion 312 vote a few short months ago, was a triumph of ideology, political bias or personal interest over policy creation based on evidence, fact, and sound principle."

I guess it couldn't possibly be that most MP's viewed Woodworth's motion as a transparent ploy to head down the road to outlaw abortion. I guess it couldn't possibly be that Woodworth, as a devout Catholic, subscribes to any "ideology" himself.

(And I don't know what "same human beings" means.)

New Online Journal Publishes Tripe about Gödel

A new online journal, Sententias, has published its first issue. It claims to be devoted to "philosophy, theology, and science", but its real goal can be deduced by clicking on the tab labeled "ministry tools". Why, all academic journals come with "ministry tools", don't they?

The first issue is not promising at all. One article is entitled "The argument from reason and incompleteness theorems" by Ryan Thomas. The author writes about Gödel's theorems, but it's clear he doesn't understand them. Too bad Thomas did not read Torkel Franzén's book, Gödel's Theorem: An Incomplete Guide to Its Use and Abuse; he might have saved himself some embarrassment.

Thomas thinks that Gödel proved that "within a consistent and complete set of axioms there will be at least one statement that is improvable within the system" and "a consistent and complete set of axioms cannot demonstrate its own consistency". Leaving aside the strange use of "improvable" instead of "unprovable", and leaving aside that one does not usually talk about being "within" a set of axioms, Thomas misses the point. The important thing is not that a logical theory has statements that are unprovable -- after all, we'd be unhappy if false statements had proofs in our theory. The interesting facet is the existence of true statements that have no proofs in the theory. Furthermore, Thomas doesn't seem to know that Gödel's theorem does not apply to all axiom systems, but only ones that are sufficiently powerful. There do indeed exist logical theories that can prove their own consistency.

Thomas thinks that Gödel's theorem has some profound consequences for understanding the human brain -- but this is a common misconception. Gödel's theorem is about logical deductions from axioms; but this is only one small and relatively unimportant facet of human reasoning. Most of our reasoning - even down to the level of assigning meanings to words and connecting those words to the physical world - seems probabilistic in nature. We use probabilistic reasoning all the time without being excessively worried about proving its "completeness" or "consistency"; why should logical deduction be any different?

Judging from Thomas's contribution, this journal has an inauspicious debut.

Friday, February 15, 2013

Callan Bentley is My New Hero

The Discovery Institute requests the right to us a photo by geology prof Callan Bentley. Bentley replies, and hilarity ensues.

Hey, they don't call it the "Dishonesty Institute" for nothing.

Thursday, February 14, 2013

God and Reason - Week 4

I didn't get a chance to attend the "God and Reason" course, Week 4, so you can head over to Jeff Orchard's blog to find the answer to "Doesn't the church produce hypocrites and injustices?"

Tuesday, February 12, 2013

Happy Darwin Day!

Today is the 204th birthday of Charles Darwin, one of the greatest scientists of all time, and the person who contributed most to our understanding of human origins.

Think you know a lot about Darwin? Then, without using Google try this Darwin trivia quiz and report your score. You can answer in the comments, but all comments will be held for 24 hours today.

  1. Who was the naturalist on board the Beagle?
  2. What other famous person was born the same day as Darwin?
  3. What denomination of UK currency has a picture of Darwin?
  4. What common household item is associated with Darwin's wife?
  5. What is the correct full title of Darwin's 1859 book? (Even Dawkins got it wrong recently.)
  6. What is the name of Darwin's house in Kent?
  7. Name a single species named after Darwin.
  8. What occupation did Darwin originally plan to pursue?
  9. What, as a young man, did Darwin spend his time collecting?
  10. Where is the largest city named after Darwin located?

Friday, February 08, 2013

Minnesota Moose Misery

From Greg Laden, here's the sad story about the decline of the Minnesota moose.

Thursday, February 07, 2013

The Advantage to Living in Canada

I will miss the penny, I really will. And Canadians are sometimes too subservient to authority. But I have to say that one clear advantage to living in Canada is that reasonable societal changes like this one (and the metric system, and gay marriage, and the adoption of OHIP) are not routinely derailed by breathtakingly insane opposition that resorts to rhetoric like "lies from the pit of hell".

Wednesday, February 06, 2013

God and Reason 3 - After the Course

After the third lecture in the "God and Reason" course I fell into conversation with someone I assume is a Waterloo undergraduate. Intelligent and articulate, he asked me some questions about my worldview and made a number of questionable claims. I don't know his name, but I'll refer to him as "M".

M has a pre-scientific view of the world and believes in spirits, souls, and so forth. I have done my best to reconstruct his claims, but if I am wrong in any particular I would be happy to correct it.

M does not accept the theory of evolution. He agrees that "microevolution" takes place, but does not accept "macroevolution". [See here and here for brief responses.] He asked me, "Were you there?" in response to my listing some of the evidence for evolution; this is a typical ploy of the creationist Ken Ham. However, M has never taken a course in evolutionary biology. (Here is how paleontologist George Gaylord Simpson would respond: "If a sect does officially insist that its structure of belief demands that evolution be false, then no compromise is possible. An honest and competent biology teacher can only conclude that the sect's beliefs are wrong and that its religion is a false one. It is not the teacher's duty to point this out unnecessarily, but it is certainly his duty not to compromise the point.")

M thinks there is no problem of pain for animals because animals don't have souls. (Theologian William Lane Craig has made some related claims, to which you can see good responses here.)

M thinks that the historicity of Jesus is the "most well-supported of any figure in the ancient world". He believes there are secular references to Jesus as early as 15 years after his death. This is not so. I gave him my e-mail address and asked for an example. So far nothing has come.

M tried a version of Plantinga's evolutionary argument against naturalism, but he wasn't quite sure where he was going and he eventually gave up with that.

M thinks that his god sets an absolute standard of right and wrong. He is completely fine with the slaughter of the Midianites (even the children), as depicted in the Bible. Although M believes that the Ten Commandments set this absolute standard (and prohibit murder), he also stated that if his god told him to kill someone, he would.

In many ways M seems typical of the hundreds of Christian evangelicals I've talked with in my life. I hope that a university education will broaden his horizons a bit and he will learn more about the theory of evolution and the evidence for it before he rejects it.

Tuesday, February 05, 2013

God and Reason - Lecture 3 - John North - The Problem of Pain

I attended the third lecture in the "God and Reason" short course given by Christian professors at my university. (This time I was also able to stay for the question-and-answer period, since my son's soccer schedule has a week break in it. I probably won't be able to do that in the future.)

This week's lecture was delivered by Prof. John North of the English department. I have known John North for 20 or so years, back to when our university had a weekly staff and faculty newspaper edited by Chris Redmond, the Gazette. He wrote good letters to the editor about the importance of the library for the University and the importance of scholarship. He is a scholar of some repute in his own field, too. And I learned some other impressive things about him that I didn't know before (more on this below).

Once again the talk was well-delivered (not a big surprise since Prof. North has won a teaching award) and easy to follow. Despite this, I would say that the emphasis was much more on the "god" and hardly at all on the "reason". And despite it supposedly being about "the problem of pain", more time was devoted to a summary of the dogma believed by most Christians. As usual, my comments are in brackets.

Prof. North started with answers to the argument that "a good God would not allow pain". (He gave as examples tsunamis and animal suffering.) He gave the following answers:

Answer 1: "because I cannot see the value in pain, there must be none" is unwarranted self-confidence, cf. God's answer to Job. [This is only relevant if one assumes that there is a god that has some plan that involves pain. But if one is simply trying to decide if a god's supposed attributes fit the evidence we see, then this answer doesn't really address the evidence.]

Answer 2: "to be free is to be free to choose evil with its consequences". Not to be free is to be an automaton. [I found this extremely unsatisfying. The best rejoinder I have heard is from the physicist Stephen Weinberg: "It seems a bit unfair to my relatives to be murdered in order to provide an opportunity for free will for Germans, but even putting that aside, how does free will account for cancer? Is it an opportunity of free will for tumors?"]

Answer 3: C. S. Lewis, "They say of some temporal suffering, 'No future bliss can make up for it,' not knowing that Heaven, once attained, will work backwards and turn even that agony into a glory." [Assumes facts not in evidence. We have no evidence of "Heaven", or backward causality. Are we supposed to accept this just because C. S. Lewis says so? How can C. S. Lewis possibly know with any certainty about this supposed glory? It reminds me of Ambrose Bierce's classic definition of faith: "belief without evidence in what is told by one who speaks without knowledge, of things without parallel."]

Why pain? He gave two answers: protection for our body, and protection for our soul.

He discussed his work as a volunteer chaplain at our local hospital, where he is on class for 2 shifts from 7 PM to 7 AM to help comfort dying people. He estimates that he has helped over 800 people on their deathbeds, by comforting them through prayer and Bible reading. [This is an impressive commitment to people who are suffering.]

The rest of the talk was an exposition of what many Christians believe, in an evangelical mode. I tried to write down some of it but the parade of Bible quotes was too familiar and boring. Here are a few things:

"unless you are converted and become as little children, you will by no means enter the kingdom of heaven." --- Matthew 18.

[Here we have Christian exclusivity -- only Christianity has the answer and you won't enter heaven unless you accept everything Christians say as gospel. And we also have the denial of intellect and reason -- you must think like a child, not as an adult.]

"Love the Lord your God with all your heart and with all your soul and with all your mind and with all your strength. The second is this: 'Love your neighbor as yourself.' There is no commandment greater than these." -- Mark 12:30-31.

[This kind of stuff disgusts me. Here we have the spectacle of a god commanding everybody to love him -- the kind of megalomaniacal behavior we would rightly shun or laugh at if it came from a friend or family member. Yet we are supposed to view god as some cosmic Mafioso and rejoice in it. I find that sick.]

The Apostle's Creed: "I believe in God, the father almighty..."

Christians are guilty: "For I tell you that unless your righteousness surpasses that of the Pharisees and the teachers of the law, you will certainly not enter the kingdom of heaven. (Matthew 5:20)

"For whoever keeps the whole law and yet stumbles at just one point is guilty of breaking all of it." (James 2:10)

[Here we have a clear violation of the principle of proportionality - a basic principle of law recognized in almost all human societies, namely, that punishment should be proportionate to the crime. Another example of how Jesus' teachings are not models of ethical behavior.]

"If anyone, then, knows the good they ought to do and doesn’t do it, it is sin for them."

"Confession, repentance, and forgiveness is the only hope
- between myself and God - between myself and every other person."
This, Professor North asserted, is the ultimate solution to the problem of pain.

[Of course, it is no solution at all. "Confession, repentance, and forgiveness" did nothing for my relatives who were murdered by their Christian neighbors in the Holocaust. "Confession, repentance, and forgiveness" did nothing for my father who died of Alzheimer's. And it does nothing for the millions of people who lived throughout time before the supposed revelation of Jesus and nothing for the millions of people alive today who have never heard the message of Christianity. This is just a cop-out.]

"Only Jesus Christ, God become man, is big enough to forgive me. Forgiveness costs. Ever tried it? Accusing is more common. "The Accuser" is one of the names of Satan."

"Jesus is the creater and sustainer of the universe, the stars, galaxies, insects, and every person."

[So then, Jesus is also the creator and sustainer of killer tsunamis, the Black Plague, and all the mass murderers that have ever lived, including Hitler. Nice guy!]

"Jesus died for me, rose again for me, ascended into heaven. He sees every sparrow that falls."

[He may see every sparrow fall, but he doesn't help them. Isn't it strange that Jesus can do parlor tricks like turn water into wine, but he can't stop world hunger?]

"200,000 Christians are martyred every year." [Probably exaggerated; searches reveal many different such claims, with no really definitive source or account of methodology.]

"Why are people killing Christians?" [For most of them, probably the same reason they kill Muslims and atheists: for personal gain, because of ethnic tensions, because they are "different", and because their religion and culture tells them they should.]

At that point the floor was opened for questions. I asked about the millions of people who lived before Jesus and the millions of people who live today without ever having heard of Jesus. If the "solution to the problem of pain" is "confession, repentance, forgiveness" then all those millions cannot have any solution for their pain. (This is one of the reasons I abandoned Christianity long ago.)

I know that some Christians respond to the effect that the Christian god's existence is obvious to everyone and therefore no one has any excuse to not believe. Of course, this isn't so; monotheism is a relatively recent invention and polytheism was a common belief for thousands of years. Prof. North answered somewhat differently: that in the future all time, both past and future, will become present. And, further, that everyone walks around with a hole in their hearts that only the Christian god can fill. Finally, he said there are some things that he doesn't understand about his god, but he believes nevertheless.

[You can see here how reason has been abandoned. There is no evidence that in the future 'all time will become present time'; this is just meaningless verbiage concocted out of thin air.]

Now, here is my solution to the problem of pain: pain is an evolved response that is present in people, just like every other mammal. The effect of pain is to help an animal avoid harm in the environment, such as extreme heat, extreme cold, bodily damage, and so forth. As social animals, we have also evolved standards of behavior that we share with other primates (see, e.g., the work of Frans de Waal) and many of us can feel pain if we do not live up to these standards. We can also feel pain if life goals (such as love and reproduction) are stymied. Pain systems are not perfect and sometimes go wrong, causing people to feel pain even in the absence of harmful stimuli (e.g., phantom limb pain). Pain is not divine retribution and needless suffering does not enoble you. There is no inherent "meaning" in suffering, although some people may find their own personal meaning through it, and some people may learn empathy through it. Through science we have found methods for alleviating pain (e.g., anaesthesia, antidepressants). I feel acutely grateful to scientists like Crawford Long and William Morton for their discoveries, which work for everyone, not just members of the same sect.

To me that is a much more satisfying explanation of pain, and it is in accordance with the facts that we see. It doesn't require positing an involved theology with magical beings for which there is no evidence. If the Christian god really wanted to alleviate pain, he could have revealed the recipe for diethyl ether in the bible. He didn't.

If I find the time I will talk about my experiences after the talk.

Monday, February 04, 2013

How I Spend My Time

I bought a desktop task timer and have been using it this year to keep track of my activities at work. Just for fun, here's how I spent last week:

12 hours: Teaching CS 365 (includes teaching, preparing for teaching, making up problem sets, making up solutions, office hours, and answering student questions)
16 hours: Teaching CS 462 (same list as above, plus marking)
5 hours: answering e-mail
3 hours: talking with graduate students
5 hours: editorial duties for the journals I edit
1 hour: miscellaneous organizational tasks
1 hour: research

Total this week: 43 hours (we are paid for 35). During a non-teaching term, I spend much less time teaching and much more time on research, refereeing, and so forth.

Sunday, February 03, 2013

More Silliness about Infinity

Once again we have someone claiming that infinity does not exist in the real world, and giving Hilbert as proof. The last time it was William Lane Craig and Kirk Durston. Now it's Uthman Badar, Australian Muslim advocate:

Start watching at 1:08:12. He says,

"I agree there's no problem with infinity in mathematics or in physics or in other studies. That's not the point. There's a difference between infinity, the potential infinity as an idea and actual infinity in the real world. Don't take my word for it, here's what the mathematicians say. David Hilbert ... is a renowned mathematician of the, or was, of the 20th century after whom Hilbert spaces and Hilbert operators that are prevalent in quantum mechanics is used, he said, "The infinite is nowhere to be found in reality. It neither exists in nature nor provides a legitimate basis for rational thought. The role that remains for the infinite to play is solely that of an idea."

Kasner and Newman, contemporary renowned mathematicians: "The infinite certainly does not exist in the same sense that we say there are fish in the sea. Existence in the mathematical sense is wholly different from existence of objects in the physical world."

...
There's no way in the real world, within our sensorially perceivable naturally world within space time that infinity can exist. If it does, you end up with a whole host of contradictions. If we had an infinite number of people in the room and five have left, how much do we have? An infinite number of people! But five have left! So, there's a distinction between the idea of infinity and the ontological reality of infinity in the real world."

Krauss's response is good. First, Hilbert was not a physicist, but a mathematician; his opinion about physical reality was not definitive back in 1926, when his article was written, and it is certainly not definitive now. Hilbert provided no empirical evidence that the infinite cannot exist in nature, and these days, physicists routinely consider the possibility of various aspects of infinity in nature. Does it or doesn't it? We don't know for sure, but we can't rule it out by Hilbert-style thought experiments alone.

Second, Uthman starts with a premise like `you can fit an infinite number of people in a finite room' (not an exact quote), which nobody is asserting. Then he asserts a contradiction where none exists. Yes, it's true that if you remove a finite number of items from an infinite set, the resulting set is still infinite. Why is this a contradiction? The answer is, it's not. Infinite quantities don't behave like finite ones, so they may not match the average person's intuition, but that's not the same as a "contradiction".

Tuesday, January 29, 2013

God and Reason - Lecture 2

I attended the second lecture in the "God and Reason" short course given by Christian professors at my university. It was entitled, "Does God exist?" I had to leave after 50 minutes, so it is possible that I missed something important. Again, my comments in brackets below.

Once again, the lecture was given by Prof. Robert Mann of Waterloo's physics department, and again was entertaining and comprehensible. (My only criticism of the delivery concerns the misspelling and mispronunciation of the word "verisimilitudinous", which was both displayed on the screen and pronounced without the first "i".)

Prof. Mann started by talking about three aspects of belief, which he classified as credulity ("other things being equal, things probably are as they seem"), simplicity ("other things being equal, the simplest explanation is probably the most likely"), and testimony ("other things being equal, things probably are as other people report").

He backed this up with a quote from philosopher Richard Swinburne, namely, "The rational person is the credulous person who trusts experience until they find it misleads them, rather than the skeptic who mistrusts experience until they find it does not mislead them." (not sure if an exact quote)

[I don't agree with either Prof. Mann or Richard Swinburne. We know that eyewitness testimony is remarkably unreliable; humans are just not good reporters of events that they witness, especially after a long period of time has gone by. There is a huge literature on this; I just mention one paper here. It is certainly rational to be very skeptical of eyewitness testimony, especially if it is about extraordinary events.]

Prof. Mann then talked about a "knowledge bootstrap". In a "hermeneutic circle", "to understand we must first believe; to believe we must first understand". In an "epistemic circle", "knowledge is controlled by Nature; Nature is revealed by knowledge". As an example of "hermeneutic circle", he gave quarks. There is no direct observation of fractional charge, yet quarks are useful to explain sub-nuclear phenomena.

As an example of "epistemic circle", he gave wave-particle duality. Understanding, he said, requires "a mutual conformity between the act of knowing and the object of study". Strict skepticism is a limited and unfruitful strategy.

Understanding God: we need to be firm enough in our thinking so that God doesn't mean anything we want, but open-minded enough to be receptive to the counter-intuitive character of the Divine.

Attributes of God: Wikipedia lists 26, but he can boil them down to 4: God is
- ultimate, infinite
- holy
- personal, loving
- agential

[What does it mean to say a god is "infinite"? Infinite in what sense? Infinite in extent in the universe? Infinite in time? How would a loving god consign people to hideous and prolonged deaths through earthquakes, tsunamis forest fires, and so forth? Here is an example where "things probably are what they seem" points to either multiple gods, or a god that hates people.]

What kinds of proof of God could there be?
- mathematical: deduction from premises
- legal: inference from testimony
- scientific: induction from observation

Proving things in science:
Paradigm (Kuhn) - normal science means solving problems within an established framework
Falsification (Popper) - science can only rule out what is false
Anarchy (Feyerabend) - science uses whatever methods work
Research Program (Lakatos) - science proceeds by core foundations surrounded by auxiliary hypotheses

Challenge: what is at the core? what is at the periphery?

Proofs of God's existence
- cosmological argument: causes imply a causer
- intelligibility argument: nature's comprehensibility implies designer
- ontological argument
- aesthetic argument
- regularity argument
- moral argument

[Here, however, Prof. Mann just speeded through what I would consider the core part of an answer to the question "Is there a God", taking only a few seconds. More argument is needed! And you would never know that these arguments are considered extremely weak by many philosophers.]

Who or what set the boundary conditions of the universe. We have a cosmic beginning - is that suggestive of a cosmic originator?

Are we special? Is our universe a typical specimen? Are the special features the thumbprint of a Designer?

Fine tuning of physical constants: if the neutron were just 0.2% lighter, all protons would decay, so there would be no atoms. If the neutron were just 0.2% heavier, no element beyond hydrogen could form. This "fine tuning" suggests a designer.

[This kind of argument doesn't seem remotely convincing to me. We have no idea currently how universes form. Maybe there is only one universe; maybe there is only one possible universe. Maybe there are infinitely many universes. Maybe there are uncountably many universes. Maybe the constants are linked. Maybe it is possible to have life just from hydrogen alone. It seems premature to make any conclusions at all when our knowledge is so incomplete.]

It's difficult to be objective about the search for God. He quotes Thomas Nagel: "I want atheism to be true."

[Speaking only for myself, I don't have much emotional investment in whether there is a god or not. I'm not sure the concept is even coherent! I was raised as a Christian, and haven't changed my attitude on ethics very much since I discarded it. Confucius and Hillel the Elder advocated the essential ethical core before Jesus.

Having a person that you can always rely on in terms of need, who would comfort you or help you solve your problems, is certainly attractive, and I think it might be nice. But on the other hand, the Christian god as depicted in the Bible seems to me so completely depraved that the world would be a horrid place if he existed as depicted there.]

[To sum up, while the talk was entertaining, I think it would have been better to simply go through the six "proofs" he mentioned, giving their strong and weak points.]

Saturday, January 26, 2013

God and Reason Course: The Dilemma

I mentioned before that four Christian professors at my university are giving a non-credit course entitled "God and Reason". I attended the first session and wrote about it here.

In thinking about this course more, I think there is a big dilemma for the instructors. All four of them are respected and accomplished researchers and scholars. But a scholar, by definition, must explore the literature both for and against any point of view. If there are arguments with some merit against your thesis, you must address them.

On the other hand, a Christian evangelical usually feels no such obligation. Their primary goal is to convert you to their belief, not to explore themes with scholarly detachment.

So, which will it be in this course? So far I am not very optimistic that scholarship will win out over Christian apologetics. For one thing, the textbook is Timothy Keller, The Reason for God: Belief in an Age of Skepticism which, at least judging from the reviews, is not an academic or scholarly text that addresses the other side fairly. Second, no opposing point of view is given as recommended reading. Third, the whole exercise is sponsored by "Power to Change Ministries". And finally, no one associated with the course is a skeptic, non-believer, or even non-Christian.

So here is a suggestion to the organizers. Live up to your obligations and reputations as scholars, and, for each session, list some suggested readings for "the other side". For example, for the next lecture, you might mention Jordan Howard Sobel's recent book, Logic and Theism: Arguments for and Against Beliefs in God, which is available here for free if you are a student or faculty member at the University of Waterloo. I could list many more.

After all, "who ever knew Truth put to the worse, in a free and open encounter?"

Friday, January 25, 2013

Weird Maple Bug

I've found a few Maple bugs over the years, but this is one of the weirdest. The same weirdness occurs in very old versions, too.

    |\^/|     Maple 15 (X86 64 LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2011
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> (2 &^ 0) mod 3;
                                       1

> (3 &^ 0) mod 2;
                                       1

> (2 &^ 0) mod 2;
Error, 0^0 is undefined
 
> (3 &^ 0) mod 3;
Error, 0^0 is undefined

Silly Journal Accepts Silly Paper

Over at That's Mathematics! we read that another computer-generated piece of silliness has been accepted by the Journal for Algebra and Number Theory Academia. Good job, JANTA! You are now officially a Silly Journal™.

Wednesday, January 23, 2013

Science Books Have Errata. Holy Books Don't.

I mentioned before that four Christian professors at my university are offering a non-credit course on "God and Reason". I won't be able to attend most of the talks, because the time often conflicts with my son's soccer games, but I did get to go to the first one. Here are a few notes. You can read a different perspective here. If others blog about it, send me links!

The first surprising thing was that I arrived at the room, PHYS 150, only to find the venue had been moved to MC 4020. You'd think the organizers would have updated their flyer, but no, today it still says the old room.

After walking to the new room, I was also surprised to see the number of people there for the lecture. By my estimate, there were about 120 people, including about 20 people standing.

The first lecture was entitled, "Doesn't science disprove Christianity?", by Prof. Robert Mann of the physics department. He is a good speaker, and his talk was frequently humorous and largely easy to follow (with the exception of his strange pronunciation of "analogous"), but didn't really address the question in much detail. I summarize below, with my comments in brackets.

He started by giving an example of the question "Why is the sky blue?" as something both science and religion could answer. A scientific answer might be something like "Rayleigh scattering". A religious answer might be "God made it that way", but he doesn't find that a useful answer.

Science is about "what is", Prof. Mann claimed. It is about how things work and constitutes public knowledge. It is objective, having nothing to do with emotions or political predilections. It is about measuring and quantifying things, and constitutes an "I-it" relationship with the universe.

Faith, Prof. Mann said, is about "what ought to be". How can things be different from what they are now? It is about "why" questions, not "how" questions. For example, "Why do I have feelings of awe when I stand in front of a mountain?" It constitutes private knowledge, is subjective, and is not concerned with measuring things. It is about quality vs. quantity. It is about an "I-Thou" relationship with the universe. All religions are concerned with, "What is of ultimate value?" and "What should be the rules of how we live our lives?"

[Here Prof. Mann contradicted himself right away. On the one hand, he claimed science could not answer "why" questions; on the other, he gave as his very first example the question "Why is the sky blue?", to which he then proceeded to give a scientific answer! Furthermore, one of the most famous Christian books is Francis Schaeffer's "How Should We Then Live?" -- a question that, despite its first word, presumably is intended to be religious and not scientific in nature. I sat in on a course Prof. Mann taught some time ago, where I pointed out that this "how/why" dichotomy is almost childishly simplistic and wrong, but he continues to use it.]

[Furthermore, I would contest the claim that faith represents "knowledge". It represents "belief", to be sure, but "knowledge" seems overstating the case. How exactly can such "knowledge" (claimed to be "private" and "subjective") be tested in any meaningful way? When it is tested, we find it is wrong. Christians frequently claim, for example, that intercessory prayer is effective; yet the tests of this claim return negative or inconsistent results.]

Science and theology, Prof. Mann claimed, are cousins. They are both concerned with rationality, contingency, novelty, and incompleteness.

Rationality: why is the world rationally transparent? [I know from previous experience that Prof. Mann finds the arguments of intelligent design creationist and physicist Guillermo Gonzalez intriguing. Gonzalez's thesis is that the universe is specially designed for scientific inquiry, and the Earth is in a privileged position to make scientific inquiry possible - hence god.]

[Personally, I don't think the world is "rationally transparent". If anything, it is largely "rationally opaque" or at least "rationally translucent". Here is one example from Prof. Mann's own field. One of the very simplest physical interactions we can think about is the problem of mutual gravitational attraction among three bodies. Yet there is no closed form known for the solution to the three-body problem! We do not even know whether the solar system is stable or unstable.]

[And here is another example. Suppose, at the beginning the lecture, I introduce a single molecle of Oxygen-18 at the very center. Dividing the lecture hall into four equal sized square sections, which section will the Oxygen-18 molecule be at the end of the lecture? What could be simpler? Yet we can't answer this very basic kind of question with any certainty, because there are just too many interactions. How does that make the universe - a far more complicated system - "rationally transparent"?]

Science, Prof. Mann said, is about "reason and experiment", but faith is about "reflection and revelation". Science is about "increasing complexity" as we dig deeper. Religion is about "increasing depth". The "universe appears to be structured for endless possibilities". [I find it odd for a physicist to claim that, when the heat death of the universe is one fate that might await us -- so much for "endless" possibilities.]

Religion is about novelties - why do little things "surprise us by joy?".

Wigner spoke about the "unreasonable effectiveness of mathematics". [I'm not convinced at all by this. It seems to me that physicists are trying to model the universe, and it is not very surprising that some models work better than others. If dance turned out to be better, we'd all be exclaiming about how wonderful it is that ballet is so effective at modelling the universe. And, as above, even in the most simple cases, we quickly find limits to our mathematical description of physical situations.]

Prof. Mann claimed that when scientists worked on nuclear weapons, "most did so without considering the consequences" because it was a good scientific problem. [Not really. For one thing, it was more an engineering problem than a science problem. I've read a number of books about the Manhattan Project, and his claim does not seem to be accurate. Oppenheimer, for example, had serious misgivings about the A-bomb.]

Prof. Mann claimed that "suicide bombers are not scientifically illiterate". [Actually, I'd bet they are. Most probably could not state, for example, any of the basic results in evolutionary biology. They might have some engineering knowledge, but engineering is not the same as science.]

[Prof. Mann spent a lot of time talking about the commonalities between religion and science. But to me, it is the differences that are starker and more important. One of them I can sum up in 7 words: "Science books have errata. Holy books don't." By this I mean the following: If, let's say, we discover an error in Newton's Principia, we don't go on teaching it as if nothing happened. We correct it. If errors occur in books or papers, we routinely admit them and correct them. But when has a Christian ever said, "Well, we used to believe x in the Bible, but now we realize the Bible was wrong about x?" I'd be curious to know if Prof. Mann can name a single thing in the Bible he thinks is simply wrong.]

[Here's another important difference between science and religion. Science has accomplishments. Not only that, but scientists are largely in agreement with what those accomplishments are. Ask any scientifically literate person about the great breakthroughs of the last 100 years, and you'll get largely the same list. In physics, relativity and quantum mechanics, for example. In biology, the structure of DNA and its role in genetics. In geology, the theory of plate tectonics, and so forth. But what are the great religious breakthroughs of the last 100 years? Can Prof. Mann name even one?]

Let's hope the remaining lectures are more serious.

Thursday, January 17, 2013

Open Problems

One of the nice things about teaching an upper-level undergraduate course at a university is the opportunity to mention problems at the edge of our current knowledge. For example, in my course CS 462, Formal Languages and Parsing, I currently mention 15 open problems and offer an automatic 100 in the course for anyone who can solve any one of them.