Yet somehow its proponents never actually apply it to cases of genuine interest, like this one.
Why is that?
Recurrent thoughts about mathematics, science, politics, music, religion, and
Recurrent thoughts about mathematics, science, politics, music, religion, and
Recurrent thoughts about mathematics, science, politics, music, religion, and
Recurrent thoughts about ....
Yet somehow its proponents never actually apply it to cases of genuine interest, like this one.
Why is that?
I didn't agree, so I asked the illustrious Marks for a calculation or other rationale supporting this claim.
After three months, no reply. So I asked again.
After six months, no reply. So I asked again.
After one year, no reply. So I asked again.
After two years, no reply. So I asked again.
After three years, no reply. So I asked again.
After four years, no reply. So I asked again.
After five years, no reply. So I asked again.
Now it's been SIX years. I asked again. Still no reply from the illustrious Marks.
This is typical behavior for advocates of intelligent design. They do not feel any scholarly obligation to produce evidence for their claims. That's one way you know that intelligent design is pseudoscience.
Here he claims that "abstract thought (as classical philosophers pointed out) is inherently an immaterial ability and thus it cannot arise from the brain or from any material organ". Actually, there's no evidence at all for this claim. As far as we know, abstract thought is no different from any kind of brain activity, carried out by our neurons and synapses. And if it does not "arise from the brain", what could it possibly arise from?
Abstract reasoning is actually not significantly different from any other kind of reasoning, a point of view espoused for the specific case of mathematical reasoning by George Lakoff and Rafael Nunez in their book Where Mathematics Come From: How The Embodied Mind Brings Mathematics Into Being.
Egnor claims that "Mental activity always has meaning—every thought is about something. Computation always lacks meaning in itself." This is a classic blunder, made by people who have little understanding of the nature of computation. Of course computations have meaning. When we sum the infinite series 1+1/4+1/9+... using a program such as Maple, by typing sum(1/n^2,n=1..infinity); who can reasonably deny that the answer Π2/6 it produces has meaning? This classic error was debunked as long ago as 1843, when Ada Lovelace wrote, "Many persons who are not conversant with mathematical studies, imagine that because the business of the engine is to give its results in numerical notation, the nature of its processes must consequently be arithmetical and numerical, rather than algebraical and analytical. This is an error. The engine can arrange and combine its numerical quantities exactly as if they were letters or any other general symbols; and in fact it might bring out its results in algebraical notation, were provisions made accordingly." This is an abstract example, but if you want examples related to the real world, just consider the data collected and processed to produce weather predictions. If these computations had no meaning, how is it that short-term weather forecasts are so accurate?
Egnor goes on to justify his bogus claim by saying, "A word processing program doesn't care about the opinion that you’re expressing when you use it." But what does this have to do with anything? A secretary that types up letters also probably doesn't care about the content of the letters the boss dictates; does this mean he/she has no mind? How did we get from "meaning" to "caring"? It's a huge non sequitur that Egnor doesn't bother to explain.
In another screed, Egnor repeats for the n'th time his bogus claims about the minds of animals. He writes, "No animal (except man) can do statistics, because statistical reasoning is abstract and only human beings are capable of abstract thought." But, as usual, he ignores the evidence against his claim, and provides not a shred of evidence in favor of it. All he does is assert. (Three links: one, two, three. I can produce many more.)
He closes with this, which is one of the least self-aware claims I've ever seen: "Only human beings can reason abstractly because only human beings have rational souls. Rational souls have an immaterial aspect—a spiritual aspect, because we are created in the Image of our Creator, who is a Spirit. That's a scientific inference."
No, that's just religious babble.
Jack Sullivan supposedly had back pain, and he claims to have been cured after praying to Newman. Well, it's not like spontaneous remission of back pain ever happens, right? It must have been a miracle!
Melissa Villalobos supposedly had internal bleeding while pregnant. She also prayed to Newman, and claimed to be healed. It must have been a miracle! No one could possibly come up with any other explanation, right?
Recently on twitter, Princeton professor Robert George celebrated this momentous event by recalling his paper on John Stuart Mill and John Henry Newman. I have to admit, I am not usually in the habit of reading papers published in obscure religious journals, but I was intrigued. So I read it.
That was a mistake.
It is pretty bad. Here, very briefly, are just a few of the things wrong with it: it's sloppily proofread; it uses private redefinitions of basic terms; it doesn't so much as argue as just make assertions; it's full of bafflegab; it doesn't adequately support its main contention; and it fails to be a scholarly contribution.
Sloppy proofreading: I'll just cite two instances (there are others): "defenses f freedom" in the very first paragraph! Then, later on, "neither to each other not to some common substance" ("not" instead of "nor"). Did anyone -- author or publisher -- make even the most cursory effort here?
Makes assertions instead of argues: "Christian philosophical anthropology ... has proved to be far more plausible and reliable than the alternative that Mill, quite uncritically, accepted". No actual argument or citation provided.
Private redefinitions of basic terms: religion is defined as "the active quest for spiritual truth and the conscientious effort to live with integrity and authenticity in line with one’s best judgments regarding the ultimate sources of meaning and value, and to fulfill one’s obligations (spiritual and moral) in both the public and private dimensions of one's life". A dishonest rhetorical ploy: define "religion" so broadly it encompasses nearly every action by an ethical person.
Bafflegab: top, p. 42: George uses 17 lines to make the trivial observation that happiness and human flourishing are functions of multiple variables with no obvious way to compare or weight them, in order to achieve a maximizing outcome everyone will agree with. Then why not just say that?
More bafflegab: "the dignity of human persons" (p. 44). "Dignity" is the ultimate weasel word; what you regard as essential to human dignity (e.g., forbidding contraception) I could just as easily regard as an example of human indignity.
Very few citations: e.g., George mentions criticism of Mill by Hart (but doesn't bother to give a citation). This is not scholarly behavior.
The main point is not adequately supported: Why exactly do duties automatically confer rights? Adherents of the religion of Christian Identity believe black people are subhuman and one has a duty to subjugate and exterminate them. How does this confer a right to do so?
Let's face it: the Christian account of morality is competely unsupported and incoherent. Some philosophers still have a medieval view of man's nature that is completely unmoored from modern discoveries of evolution and psychology.
Man is not a "rational creature" as George claims, and this absurdly bad essay is proof of that. In my field, junk as bad as this just could not get published in a reputable journal, and if it does somehow manage to, everyone would laugh.
I didn't agree, so I asked the illustrious Marks for a calculation or other rationale supporting this claim.
After three months, no reply. So I asked again.
After six months, no reply. So I asked again.
After one year, no reply. So I asked again.
After two years, no reply. So I asked again.
After three years, no reply. So I asked again.
After four years, no reply. So I asked again.
Now it's been five years. I asked again. Still no reply.
This is typical behavior for advocates of intelligent design. They do not feel any scholarly obligation to produce evidence for their claims. That's one way you know that intelligent design is pseudoscience.
I wish some brave Baylor student would have the courage to ask Marks in one of his classes for why he refuses to answer.
I wrote before about Marvin Bittinger, a mathematician who made up an entirely bogus "time principle" to estimate probabilities of events. And about Kirk Durston, who speaks confidently about infinity, but gets nearly everything wrong.
And here's yet another example: creationist Jonathan Bartlett, who is director of something called the Blyth Institute (which, mysteriously, lists no actual people associated with it, and seems to consist entirely of Jonathan Bartlett himself), has recently published a post about mathematics, in which he makes a number of very dubious assertions. I'll just mention two.
First, Bartlett calls polynomials the "standard algebraic functions". This is definitely nonstandard terminology, and not anything a mathematician would say. For mathematicians, an "algebraic function" is one that satisfies the analogue of an algebraic equation. For example, consider the function f(x) defined by f^2 + f + x = 0. The function (-1 + sqrt(1-4x))/2 satisfies this equation, and hence it would be called algebraic.
Second, Bartlett claims that "every calculus student learns a method for writing sine and cosine" in terms of polynomials, even though he also states this is "impossible". How can one resolve this contradiction? Easy! He explains that "If, however, we allow ourselves an infinite number of polynomial terms, we can indeed write sine and cosine in terms of polynomial functions".
This reminds me of the old joke about Lincoln: "In discussing the question, he used to liken the case to that of the boy who, when asked how many legs his calf would have if he called its tail a leg, replied, "Five," to which the prompt response was made that calling the tail a leg would not make it a leg."
If one allows "an infinite number of polynomial terms", then the result is not a polynomial! How hard can this be to understand? Such a thing is called a "power series"; it is not the same as a polynomial at all. Mathematicians even use a different notation to distinguish between these. Polynomials over a field F in one variable are written using the symbol F[x]; power series are written as F[[x]].
Moral of the story: don't learn mathematics from creationists.
P.S. Another example of Bartlett getting basic things wrong is here.
I was having lunch with a close friend in a crappy Mexican place on Telegraph Ave in Berkeley, California; it must have been about 1983. The restaurant was called La Villa Hermosa, and is long gone. (There is a photo of it here.)
Sitting at the next table was a bearded man who looked familiar. I studied him carefully, while eating my refried beans. Eventually I figured it out. I nudged my mathematician friend gently under the table and said softly, "Hey, that's Jerry Garcia over there."
She looked over doubtfully, and said, "That's not Jerry Garcia."
I insisted, "Yes, it is."
So my friend, who was never one to observe social niceties despite being only a little more than five feet tall, stood up, walked over, put her hands on her hips and demanded of him, "Are you Jerry Garcia?"
He looked at her, held up one hand (clearly missing part of a finger), and said, "No, Jerry Garcia is missing a finger on the other hand."
She came back to my table, satisfied, and announced smugly, "See? I told you so. That wasn't him. Jerry Garcia is missing a finger on the other hand."
I swear it's true!